Divide. Reduce the answer to lowest terms.
1 1
2_=3
9 3
19
30
0 1
27

Answers

Answer 1

Answer:

1/1 =1

2x=3 =2/3

9/3 = 3

19 = 19

30 = 30

0/1 = 0

27

Step-by-step explanation:

1/1 =1

2x=3 =2/3

9/3 = 3

19 = 19

30 = 30

0/1 = 0

27


Related Questions

what is the length of the lines connecting the points (-4,2) and (10,2) round answer to the nearest whole number

Answers

14 !!!!!!!!!!!!!!!!!!!

Answer: The length of the line connecting the points (-4,2) and (10,2) is 14 units.

how does 12 - 4.6 make 7.6

Answers

It doesent 12-4.6 = 7.4 because 12 minus the 4 is equal to 8 than subtract the .6 to get 7.4

Another way to make sure you answer is correct is to do 7.4 + 4.6 = 12
It doesent 12-4.6 = 7.4 because 12 minus the 4
is equal to 8 than subtract the .6 to get 7.4
Another way to make sure you answer is
correct is to do 7.4 + 4.6 = 12

G(s) = Y(s) / V(s) = S+6 / s(s + 3)(s + 1)²
a. Zeros/poles of sys.
b. find partial fraction expansion. c. find response of sys, if the input is unit impulse.

Answers

The response of the system to a unit impulse input is given by \(.\)y(t) = -1 + 3e^(-3t) - 3e^(-t) + 2t e^(-t).

Given transfer function is:

G(s) = Y(s) / V(s) = S+6 / s(s + 3)(s + 1)²

a. Zeros and poles of sys.

Zeros are the values of s where the transfer function G(s) is zero. The zeros of the given system can be obtained by equating the numerator to zero,

so

S + 6 = 0

S = -6

Zeros of the system are -6.

Poles are the values of s where the transfer function G(s) is undefined.

The poles of the given system can be obtained by equating the denominator to zero, so

s(s + 3)(s + 1)² = 0

s = 0, -3, -1

Poles of the system are 0, -3, -1.

b. Find partial fraction expansion.

The given transfer function can be expressed in partial fractions as:

S+6 / s(s + 3)(s + 1)²

= A/s + B/(s + 3) + C/(s + 1) + D/(s + 1)²

Where A, B, C, and D are constants.To solve for these constants, we have to multiply both sides by the common denominator of the fractions and equate the coefficients of the terms with the same degree.

On doing so, we get:

S + 6 = A(s + 3)(s + 1)² + B s(s + 1)² + C s(s + 1)² + D s(s + 3)

On substituting s = -3, we get

B = 3

On substituting s = -1, we get

C - D = -5

On substituting s = 0, we get

A = -1

Simplifying the above equation, we get

C = -3 and D = 2

Substituting these values of A, B, C, and D in the partial fraction expansion, we get:

S+6 / s(s + 3)(s + 1)²

= -1/s + 3/(s + 3) - 3/(s + 1) + 2/(s + 1)²

c. Find the response of sys if the input is a unit impulse.

The Laplace transform of a unit impulse is 1.

Hence the response of the system to a unit impulse input can be obtained by evaluating the inverse Laplace transform of the transfer function G(s) multiplied by the Laplace transform of the input, which is 1.

G(s) = -1/s + 3/(s + 3) - 3/(s + 1) + 2/(s + 1)²

The inverse Laplace transform of the above transfer function is

y(t) = -1 + 3e^(-3t) - 3e^(-t) + 2t e^(-t).

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pls help will mark brainliest if right !

pls help will mark brainliest if right !

Answers

Answer:

some

some

some

some

no

Step-by-step explanation:

Answer:

1) no triangles

2)some triangles

3)no triangles

4)no triangles

5)all triangles

Step-by-step explanation:

i think that is right not sure tho

The reference triangles always have a leg perpendicular to the:.

Answers

The reference triangles always have a leg perpendicular to the hypotenuse.

In a right triangle, the reference triangle is formed by dropping a perpendicular from one of the acute angles to the hypotenuse. This perpendicular leg, also known as the altitude, divides the hypotenuse into two segments. The reference triangle is created to establish a relationship between the angles and sides of the original right triangle. By considering the ratios of the sides in the reference triangle, we can apply trigonometric functions to solve various problems involving right triangles. The perpendicular leg of the reference triangle is crucial in determining the values of sine, cosine, and tangent for the given angle in the original triangle.

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Suppose a survey of found that more than ought. which part of the survey represents the descriptive branch of statistics? make an inference based on the results of the survey.

Answers

The majority of business owners avoid flood insurance.

Inferential statistics enables you to draw conclusions ("inferences") from descriptive statistics, which describes data (such as a chart or graph). Using inferential statistics, you can draw conclusions about a population using data from samples. Using inferential statistics, you can try to discover whether the sample data from a tiny sample of people can forecast whether the medication will be effective for everybody (i.e. the population). There are several techniques to accomplish this, including post-hoc (advanced) testing and generating a z-score, which shows where your data would fall in a normal distribution.

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Which of the following explains the relationship between angles a and b? Lines JK and JM intersect at point J, creating four angles identified as angle B, angle D, angle C, and angle a clockwise from the top right. Adjacent angles, corresponding notes, Complementary angles or vertival angles

Answers

The answer is Adjacent angles.                            

Answer:

The answer is A: Adjacent angles.

Step-by-step explanation:

I know this cause I'm taking the test.

Which relation in the below table(s) represents a function?

Answers

The relation 2 represents a function.

In order to determine which relation in the below table represents a function, we need to first understand what a function is.A function is a relationship in which each input value corresponds to exactly one output value.

To put it another way, each x-value has one and only one y-value. The most typical method to determine whether a relation is a function is to use the vertical line test.

The vertical line test is a way to determine if a relation is a function graphically. To test if a graph is a function, we draw a vertical line through each x-value on the graph. If a vertical line crosses the graph more than once, it is not a function.

If, on the other hand, the graph passes the vertical line test and no vertical line crosses the graph more than once, it is a function.Now let's look at the table below to determine which relation is a function.

We will first plot the x and y values of each relation on a coordinate system and then apply the vertical line test to each relation.

Relation 1: x | y0 | 10 | 11 | 22 | 23 | 34 | 35 | 4Relation 1 does not represent a function since we can draw a vertical line through x = 3 and the line will cross the graph more than once.

Relation 2: x | y2 | 33 | 34 | 45 | 46 | 57 | 5Relation 2 represents a function since we can draw a vertical line through each x-value on the graph and it will only cross the graph once.

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Write a two-column proof to prove the statement. See Picture

Write a two-column proof to prove the statement. See Picture

Answers

∠1 = ∠3 (corresponding angle) thus ∠1 = ∠3 = ∠2 thus line p will be parallel to line r.

What are parallel lines?

Two lines in the same plane that are equally spaced apart and never cross each other are said two lines in the same plane that are equally spaced apart and never cross each other to be parallel lines.

Parallel lines are those lines in which slopes are the same and the distance between them remains constant.

As per the given g || h and ∠1 = ∠2

Since ∠1 and ∠3 are the corresponding angle.

Therefore,  ∠1 = ∠3 = ∠2 is only possible when p is parallel with r.

Hence "∠1 = ∠3 (corresponding angle) thus ∠1 = ∠3 = ∠2 thus line p will be parallel to line r".

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I need help with numbers 17 and 11. worksheet down below :) thank you. I'm using all my points so let this be the time I use my points wisely.
(sry I dont have a lot of points. I only have 20)

I need help with numbers 17 and 11. worksheet down below :) thank you. I'm using all my points so let

Answers

Answer:

12-8+3 for the numerical and 2x=3y-6 for the algebraic expression

Step-by-step explanation

Numerical expression consists of numbers and one operation

Algebraic expression consist of multiple varaibles  and constents

Answer:

numerical expression: 5+20-9= 16

algebraic expression: 6p +18

I need help finding the value of x please.

I need help finding the value of x please.

Answers

In algebra, it is easy to find the third value when two values are given. Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side.

Answer:

X = 12

Measure of exterior angle = 80

Step-by-step explanation:

Angles P and Q are equal to the right side of R ( solve for x )

I need help finding the value of x please.

Mary made 12 bracelets, 9 of those are blue, what percent of the bracelets are blue .

Answers

\(\begin{gathered} \text{percentage of blue is,} \\ \Rightarrow\frac{9}{12}\times100 \\ \Rightarrow75\text{ \% of blue.} \end{gathered}\)

The perimeter of a rectangular section of a roof is 96 yards. The length is 18 yards. What equation could you use to find the width w of this section of the roof? 18+w+w=96 18w=96 2(18)+2w=96 96-w=18

Answers

The width of the rectangular section of the roof is 30 yards.

To find the width w of the rectangular section of the roof, we can use the equation 2(18) + 2w = 96. This equation represents the perimeter of a rectangle, which is equal to the sum of all its sides.

In this case, we know that one side (the length) is 18 yards, and we are trying to find the other side (the width).

To solve for w, we can simplify the equation by first distributing the 2:

2(18) + 2w = 96

36 + 2w = 96

Next, we can isolate w by subtracting 36 from both sides:

2w = 60

Finally, we can solve for w by dividing both sides by 2:

w = 30

Therefore, the obtained width is 30.

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You don't spend frivously and save $950.00 of your take home pay at the end of every six months for 15 years. This money will help your kids buy their first home. If interest is 3% compounded monthly, how much will you have accumulated in 15 years?
$48 190
$35713
$532317
$29557
$215624

Answers

The correct option is B. $35,713. f someone saves $950.00 of their take home pay at the end of every six months for 15 years and invests in an account earning 3% compounded monthly, they will have accumulated $35,713.

To calculate how much money will be accumulated in 15 years, we need to apply the formula;A=P(1+r/n)^(n*t)where;A = the accumulated amount

P = principal (the initial amount) r = annual interest raten = number of times the interest is compounded in a year t = number of years.

In this case, the principal amount is $950, the annual interest rate is 3%, compounded monthly. We need to find out how much will be accumulated in 15 years.

Therefore;A = 950(1+0.03/12)ᵃ  (a=12*15)A = 35,713

Thus, the total accumulated amount in 15 years would be 35,713. Therefore, the correct option is B. 35,713.

In conclusion, if someone saves $950.00 of their take home pay at the end of every six months for 15 years and invests in an account earning 3% compounded monthly, they will have accumulated $35,713.

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2/5 plus what equals 7/10

Answers

Answer:

\(\dfrac 3{10}\)

Step-by-step explanation:

\(~~~~~~\dfrac 25 + x = \dfrac 7{10}\\\\\\\implies x = \dfrac 7{10} - \dfrac 25\\ \\\\\implies x = \dfrac 7{10} - \dfrac 4{10}\\\\\\\implies x = \dfrac{7-4}{10}\\\\\\\implies x = \dfrac 3{10}\)

a garden is in the shape of a rectangle with a perimeter of 18 meters. the length is 3 meters more than twice the width. find the length of the garden

Answers

The length of the garden which is in the shape of a rectangle with a perimeter of 18 meters and whose length is 3 meters more than twice the width, is 7 metres.

Let's name the width "w" and the length "l" of the rectangle.

We know from the problem description that the rectangle's perimeter is 18 metres, thus we can formulate an equation:

2l + 2w = 18

We also know that the length is 3 metres longer than the breadth, thus we can solve the following equation:

l = 2w + 3

We may plug the second equation into the first to remove the letter "l" and get an equation with only one variable:

2(2w + 3) + 2w = 18

When we simplify this equation, we get:

6w + 6 = 18

When we subtract 6 from both sides, we get:

6w = 12

When we divide both sides by 6, we get:

w = 2

We can use the second equation to get the length now that we know the width is 2 metres:

l = 2w + 3 = 2(2) + 3 = 7

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you have a sample of contaminated benzoic acid that weighs 2.014 g. after performing a proper recrystallization with proper drying, the mass of your purified benzoic acid is 1.611 g. what is your percent recovery rounded to the nearest tenths? do not include the percent symbol in your answer (e.g., if your answer is 10.5%, submit your answer as 10.5).

Answers

The percent recovery of benzoic acid is equal to 80.0 if the mass of purified benzoic acid after recrystallization is 1.611 g.

The percent recovery can be described as the amount of a product available after its production and purification.

The percent recovery of benzoic acid can be calculated by using the following formula:

percent recovery of sample = (Mass of purified sample ÷ Mass of contaminated sample) × 100

Substituting the given values of contaminated and purified benzoic acid in this equation;

percent recovery = (1.611 ÷ 2.014) × 100

percent recovery = 0.7999 × 100

percent recovery = 79.99

Rounding it to the nearest tenth;

percent recovery = 80.0

Hence the percent recovery of benzoic acid is calculated to be 80.0

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There are 72 books in the library. There are 8 on each shelf. How many shelves are there?

Answers

Answer:

9

Step-by-step explanation:

72 / 8 = 9

Therefore, there are 9 shelves in the library.

Can I please have brainliest.

Sams father is 3 times as old as Sam Sams mother is five years younger than Sam’s father Sam’s mother is 31 years old how old is Sam

Answers

Answer:

12 is the answer 12×3=36

A

IM BEST EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

What is the perimeter of a triangle with sides
11 inches, 4 inches, and 12 inches in length?
11
4
12
А
25 inches
B
16 inches
15 inches
27 inches

What is the perimeter of a triangle with sides11 inches, 4 inches, and 12 inches in length?1141225 inchesB16

Answers

Answer:

27 inches

Step-by-step explanation:

i think this is the answer

3. Write the first 5 terms in the arithmetic sequence
that is represented by the function f(x) = -4x+15.
A. -4, 11, 26, 41, 56
B. -4, -19, -34, -49,-64
C. 15, 19, 23, 27, 31
D. 15, 11, 7, 3, -1

Answers

Answer:

D

Step-by-step explanation:

The first term is when x = 0, so 15.

Then you decrease by 4 every time to get 15,11,7,3,-1

plot the points a=(−1,1), b=(1,2), and c=(−3,5). notice that these points are vertices of a right triangle (the angle a is 90 degrees).

Answers

The points A(-1,1), B(1,2), and C(-3,5) form the vertices of a right triangle, with angle A being 90 degrees. By plotting these points on a coordinate plane, we can visually observe the right triangle formed.

To plot the points A(-1,1), B(1,2), and C(-3,5), we can use a coordinate plane. The x-coordinate represents the horizontal position, while the y-coordinate represents the vertical position.

Plotting the points, we place A at (-1,1), B at (1,2), and C at (-3,5). By connecting these points, we can observe that the line segment connecting A and B is the base of the triangle, and the line segment connecting A and C is the height.

To verify that angle A is 90 degrees, we can calculate the slopes of the two line segments. The slope of the line segment AB is (2-1)/(1-(-1)) = 1/2, and the slope of the line segment AC is (5-1)/(-3-(-1)) = 2. Since the slopes are negative reciprocals of each other, the two line segments are perpendicular, confirming that angle A is a right angle.

By visually examining the plotted points, we can confirm that A(-1,1), B(1,2), and C(-3,5) form the vertices of a right triangle with angle A being 90 degrees.

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Find an example of sets A and B such that |A|=3,|A|=3, |B|=4,|B|=4, and |A∪B|=5.

Answers

An example of two sets, A and B, such that |A| = 3, |B| = 4, and |A∪B| = 5, would be A = {1, 2, 3} , B = {2, 3, 4, 5} , A∪B = {1, 2, 3, 4, 5}.

A set is a collection of objects. An example of two sets, A and B, such that |A| = 3, |B| = 4, and |A∪B| = 5, would be the following:


A = {1, 2, 3} ..... ( have # objects 1,2 & 3)

B = {2, 3, 4, 5} ........ ( Have 4 objects 2,3,4 & 5)


A∪B = {1, 2, 3, 4, 5}........ (Have 5 objects 1,2,3,4 & 5)


Here, |A| = 3, since there are three elements in set A. Similarly, |B| = 4, since there are four elements in set B. And, |A∪B| = 5, since there are five elements in the union of sets A and B.

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Luego de su cumpleaños, Benjamín ha decidido donar la tercera parte del dinero que recibió de regalo de sus familiares a una fundación. Considerando las variables cantidad de dinero recibido por Benjamín y cantidad de dinero que donará Benjamín. a. ¿Cuál es la variable dependiente en esta situación.

Answers

Answer:

The dependent variable is the amount of money he received for birthday.

Step-by-step explanation:

After his birthday, Benjamin has decided to donate a third of the money he received as a gift from his relatives to a foundation. Considering the variables amount of money received by Benjamin and amount of money that Benjamin will donate. to. What is the dependent variable in this situation.

Here, the money he received for the birthday is x.

So, he donated x/3.

The variable is the money which he gets, so the dependent variable is amount of money he received for the birthday.

The Diamond Rule says two factors, m and n, must multiply to get to the top number and add to get to the bottom number What are the possible values for m and n

-4 and -8
-2 and 16
4 and 8
-4 and 8
2 and 16
-2 and -16​

The Diamond Rule says two factors, m and n, must multiply to get to the top number and add to get to

Answers

Answer:

The answer for this should be A -4 and -8

Step-by-step explanation:

I'm also in k12

Answer

its 4 and 8 i took the quiz

Step-by-step explanation:

For f(x) =2x, find a formula for the Riemann sum obtained by dividing the interval [2.5] subintervals and using the right hand endpoint for each ck. Simplify the sum and take the limit as n--> infinity to calculate the area under the curve over [2,5]

please show all of your work as be as descriptive as you can I appreciate your help thank you!

Answers

The area under the curve over [2,5] is 24.

Given function is f(x) = 2xIntervals [2, 5] is given and it is to be divided into subintervals.

Let us consider n subintervals. Therefore, width of each subinterval would be:

$$
\Delta x=\frac{b-a}{n}=\frac{5-2}{n}=\frac{3}{n}
$$Here, we are using right-hand end point. Therefore, the right-hand end points would be:$${ c }_{ k }=a+k\Delta x=2+k\cdot\frac{3}{n}=2+\frac{3k}{n}$$$$
\begin{aligned}
\therefore R &= \sum _{ k=1 }^{ n }{ f\left( { c }_{ k } \right) \Delta x } \\&=\sum _{ k=1 }^{ n }{ f\left( 2+\frac{3k}{n} \right) \cdot \frac{3}{n} }\\&=\sum _{ k=1 }^{ n }{ 2\cdot\left( 2+\frac{3k}{n} \right) \cdot \frac{3}{n} }\\&=\sum _{ k=1 }^{ n }{ \frac{12}{n}\cdot\left( 2+\frac{3k}{n} \right) }\\&=\sum _{ k=1 }^{ n }{ \frac{24}{n}+\frac{36k}{n^{ 2 }} }\\&=\frac{24}{n}\sum _{ k=1 }^{ n }{ 1 } +\frac{36}{n^{ 2 }}\sum _{ k=1 }^{ n }{ k } \\&= \frac{24n}{n}+\frac{36}{n^{ 2 }}\cdot\frac{n\left( n+1 \right)}{2}\\&= 24 + \frac{18\left( n+1 \right)}{n}
\end{aligned}
$$Take limit as n → ∞, so that $$
\begin{aligned}
A&=\lim _{ n\rightarrow \infty  }{ R } \\&= \lim _{ n\rightarrow \infty  }{ 24 + \frac{18\left( n+1 \right)}{n} } \\&= \boxed{24}
\end{aligned}
$$

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Given function f(x) = 2x. The interval is [2,5]. The number of subintervals, n is 3.

Therefore, the area under the curve over [2,5] is 21.

From the given data, we can see that the width of the interval is:

Δx = (5 - 2) / n

= 3/n

The endpoints of the subintervals are:

[2, 2 + Δx], [2 + Δx, 2 + 2Δx], [2 + 2Δx, 5]

Thus, the right endpoints of the subintervals are: 2 + Δx, 2 + 2Δx, 5

The formula for the Riemann sum is:

S = f(c1)Δx + f(c2)Δx + ... + f(cn)Δx

Here, we have to find a formula for the Riemann sum obtained by dividing the interval [2.5] subintervals and using the right hand endpoint for each ck. The width of each subinterval is:

Δx = (5 - 2) / n

= 3/n

Therefore,

Δx = 3/3

= 1

So, the subintervals are: [2, 3], [3, 4], [4, 5]

The right endpoints are:3, 4, 5. The formula for the Riemann sum is:

S = f(c1)Δx + f(c2)Δx + ... + f(cn)Δx

Here, Δx is 1, f(x) is 2x

∴ f(c1) = 2(3)

= 6,

f(c2) = 2(4)

= 8, and

f(c3) = 2(5)

= 10

∴ S = f(c1)Δx + f(c2)Δx + f(c3)Δx

= 6(1) + 8(1) + 10(1)

= 6 + 8 + 10

= 24

Therefore, the Riemann sum is 24.

To calculate the area under the curve over [2, 5], we take the limit of the Riemann sum as n → ∞.

∴ Area = ∫2^5f(x)dx

= ∫2^52xdx

= [x^2]2^5

= 25 - 4

= 21

Therefore, the area under the curve over [2,5] is 21.

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Sketch a graph of the curve parametrized by x=4cost y=4sint and draw arrows on the curve to indicate the direction of the parametrization. Then give an equation in rectangular coordinates for this same curve.

Answers

The equation in rectangular coordinates for the curve is \(x^2 + y^2 = 16\) , which can be represented  as the curve is a circle with a radius of 4 centered at the origin (0, 0). The direction of the parametric equations is counterclockwise.

To sketch the graph of the curve parametrized by \(x = 4cos(t), \, y = 4sin(t)\), we can use the unit circle as a reference. The parameter t represents the angle in radians.

When t varies from 0 to 2π, the curve completes one full revolution. We can plot several points for different values of t to get an idea of the shape:

For \(t = 0, \,x = 4cos(0) = 4, \, y = 4sin(0) = 0\), giving us the point (4, 0).

For \(t = \pi/4, x = 4cos(\pi/4) =2.83, \, y = 4sin(\pi/4) = 2.83\), giving us the point (2.83, 2.83).

For \(t = \pi/2, x = 4cos(\pi/2) = 0, \, y = 4sin(\pi/2) = 4\), giving us the point (0, 4).

By plotting more points and connecting them, we can see that the curve is a circle with a radius of 4 centered at the origin (0, 0). The direction of the parametrization is counterclockwise.

The equation in rectangular coordinates for this same curve can be obtained by eliminating the parameter t.

From \(x = 4cos(t)\), we can solve for \(cos(t)\) as \(cos(t) = x/4\).

Similarly, from \(y = 4sin(t)\), we can solve for \(sin(t)\) as \(sin(t) = y/4\).

Using the trigonometric identity \(cos^2(t) + sin^2(t) = 1\), we can substitute the values of cos(t) and sin(t) to obtain the equation:

\((x/4)^2 + (y/4)^2 = 1\)

Simplifying this equation gives us the equation of an ellipse:

\(x^2 + y^2 = 16\)

Therefore, the equation in rectangular coordinates for the curve is \(x^2 + y^2 = 16\) , which can be represented  as the curve is a circle with a radius of 4 centered at the origin (0, 0). The direction of the parametric equations is counterclockwise.

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Sketch a graph of the curve parametrized by x=4cost y=4sint and draw arrows on the curve to indicate

A reseller has a budget of $800 to purchase desks. Each desk costs an
equal amount and is available at a fixed discounted percent. The expression
800 (48d-0.18.48d) represents the amount of the budget, in dollars, left
after buying d desks.

A reseller has a budget of $800 to purchase desks. Each desk costs anequal amount and is available at

Answers

The expression that represents the total amount of discount in dollars is; (48d - 0.18 x 48d)

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by the mathematical symbol; which can b used to indicate the logical syntax's order of operations and other features.

We are given that the reseller has a budget of $800 to purchase desks. Each desk costs an equal amount and is available at a fixed discounted percent.

The expression 800 (48d - 0.18 x 48d) represents the amount of the budget, left after buying d desks.

Therefore, the expression that represents the total amount of discount in dollars are;

(48d - 0.18 x 48d)

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It is given that ∠ABC and ∠CBD are Response area. So, m∠ABC+m∠CBD=90° using the Response area. It is also given that ​m∠ABC=35°​. Using the Response area, you have 35° + ​m∠CBD=90°​. Therefore, using the subtraction property of equality, ​m∠CBD=55°

Answers

THE QUESTION CAN BE WRITTEN AS THIS;

It is given that ∠ABC and ∠CBD are a____________ So, m∠ABC+m∠CBD=90° using the b____________. It is also given that ​m∠ABC=35°​. Using the substitution property of equality, you have c________+ ​m∠CBD=90°​. Therefore, using the subtraction property of equality, ​m∠CBD=55°

Answer:

a)COMPLIMENTARY ANGLE

b)DEFINITION OF COMPLEMENTARY ANGLES

c)35°+ m<CBD = 90 degrees.

Step by step Explanation:

a)It's given that <ABC and <CBD are (COMPLIMENTARY ANGLE)

We know that the Sum of Complementary angles equal to 90 degrees.Those angles don't have to be next to each other, just so long as the total is 90 degrees. That's why the Sum of m<ABC and m<CBD equals 90 degrees that is m<ABC + m<CBD = 90 degrees

b)using the (DEFINITION OF COMPLEMENTARY ANGLES) It is also given that m<ABC = 35 degrees.

c)Using substitution property of equality, you have (35°+ m<CBD = 90 degrees.)

If we subtract 35 from both sides, we get 35-35+ m<CBD = 90-35.

Therefore, m<CBD = 55 degrees.

PLEASE CHECK THE ATTACHED FIGURE TO SEE HOW THE QUESTION LOOKS LIKE

It is given that ABC and CBD are Response area. So, mABC+mCBD=90 using the Response area. It is also

Answer:

Step-by-step explanation:

The correct response since I just took this test is:

It is given that ∠ABC and ∠CBD are complementary angles. So, m∠ABC+m∠CBD=90° using the definition of complementary angles. It is also given that ​m∠ABC=35°​. Using the substitution property, you have 35° + ​m∠CBD=90°​. Therefore, using the subtraction property of equality, ​m∠CBD=55°

A square has a perimeter of 144. what is the length of each side?

Answers

\(~~~~~~~~\text{Perimeter of square} = 144\\\\\implies 4 \times \text{Side} = 144\\\\\implies \text{Side} = \dfrac{144}4\\\\\implies \text{Side} = 36\\\\\text{Hence the length of each side is 36 units.}\)

Answer:

36

Step-by-step explanation:

In a Square,

perimeter (p) = 144

Length of side (L) = ?

we know,

p=4*L

144 = 4 *L

L = 144/4

L = 36

Since, All side of Square are equal . so,the length of each side is 36.

Note : you hadn't give unit in your question .

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