Answer: B. 10:1
Step-by-step explanation:
Determine whether each of the following provides enough information to prove that △SQP ≅ △SQR. Select Yes or No for each statement.
Q is the midpoint of PR.
∠P ≅ ∠R
∠SQP is a right angle, ∠PSQ ≅ ∠RSQ
∠SQP is a right angle, m∠P = 33°, m∠RSQ = 57°
∠P ≅ ∠R, ∠PSQ ≅ ∠RSQ
For each statement for triangle SQP and SQR, Q is the midpoint of PR: No, ∠P ≅ ∠R: No, ∠PSQ ≅ ∠RSQ: Yes, m∠P = 33°, m∠RSQ = 57°: No, ∠P ≅ ∠R, ∠PSQ ≅ ∠RSQ: Yes.
What is triangle?
A triangle is a geometric shape that consists of three line segments connected end-to-end to form a closed shape. Triangles are one of the basic shapes studied in geometry and are used in a wide range of applications, from construction to computer graphics.
Here are the answers to whether each statement provides enough information to prove that △SQP ≅ △SQR:
Q is the midpoint of PR: No, this information alone is not sufficient to prove the triangles are congruent. We need additional information about the angles or sides.
∠P ≅ ∠R: No, this information alone is not sufficient to prove the triangles are congruent. We need additional information about the sides or other angles.
∠SQP is a right angle, ∠PSQ ≅ ∠RSQ: Yes, this information is sufficient to prove that the triangles are congruent by the angle-angle-side (AAS) congruence criterion.
∠SQP is a right angle, m∠P = 33°, m∠RSQ = 57°: No, this information alone is not sufficient to prove the triangles are congruent. We need additional information about the sides or other angles.
∠P ≅ ∠R, ∠PSQ ≅ ∠RSQ: Yes, this information is sufficient to prove that the triangles are congruent by the angle-angle-angle (AAA) congruence criterion.
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Need answers please help
Answer
Yes, zero is contained in the interval
write the rate as a fraction in simplest form 17 shrubs every 68 feet the unit rate is (blank) (shrubs or ft ---------- -------- ft. shrubstype the ratio as a simplified fraction
To find the rate, we just have to divide.
\(\frac{17}{68}=\frac{1}{4}\)Therefore, the unit rate is 4 feet for each shrub.ANSWERS ASAP PLEASEEE
Johnny uses a wheelbarrow to move planting soil to a delivery truck. The volume of planting soil that fits in the wheelbarrow measures
2
2 feet by
3
3 feet by
1.5
1.5 feet. The delivery truck measures
11
11 feet by
8
8 feet and is
6
6 feet tall. Johnny puts planting soil in the delivery truck until the truck is
70
70% full.
What is the minimum number of times Johnny needs to use the wheelbarrow until the delivery truck is
70
70% full?
The minimum number of times Johnny needs to use the wheelbarrow until the delivery truck is 70% filled, obtained from the volume of the wheelbarrow and the volume of the truck is about 41 times.
What is the volume of a solid?The volume of a solid is the three dimensional space the solid occupies.
The specified dimensions of the wheelbarrow and truck indicates that the volumes of the wheelbarrow and the truck are;
Volume of the wheelbarrow = 2 ft × 1.5 ft × 3 ft = 9 ft³
Volume of the truck = 11 ft × 8 ft × 6 ft = 528 ft³
70% of the volume of the truck = 70% × 528 ft³ = 369.6 ft³
The number of times Johnny uses the wheelbarrow = 369.6 ft³ ÷ 9 ft³ ≈ 41.0
The number of times Johnny needs to use the wheelbarrow is about 41 times
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How Do You get: 5(5x + 2x /5 x 8)<78
Answer:
x < 1.39285714286
Step-by-step explanation:
5(5x+2x/5x8)<78
x5 x5
5(5x+2x(8))<390
/8 /8
5(5x+2x)<48.75
5(7x)<48.75
/5 /5
7x < 9.75
/7 /7
x < 1.39285714286
What is the solution to the system of equations x+y=10 and x+2y=4 using the linear combination method?
Answer:
The solution:
X = 16 and Y = -6
Step-by-step explanation:
The equations to be solved are:
x+y = 10 ------- equation 1
x+2y = 4 ----------- equation 2
we can multiply equation 1 by -1 to make the value of x and y negative.
This will give us
-x- y = - 10 ------- equation 3
x+2y = 4 ----------- equation 2
We will now add equations 3 and 2 together so that x will cancel itself out.
this will give us
y = -10 +4 = -6
hence, we have the value of y as -6.
To get the value of x, we can put this value of y into any of the equations above. (I will use equation 1)
x - 6 = 10
from this, we have that x = 4
Therefore, we have our answer as
X = 16 and Y = -6
Where do I put one set of parentheses in this equation?
Answer:
16+ (8²÷4)-4
Step-by-step explanation:
When using the substitution method to solve the system of equations,
what is the result of the first step?
y = 2x + 4
2x + 3y = 8
Answer:
B
Step-by-step explanation:
This is due to the fact that the first equation is saying it is equal to y so you replace the y variable with the equation
Answer:
since y=2x+4 just substitute y with 2x+4
2x + 3(2x+4) = 8
so the answer is B
What is the surface area of this cylinder?
Use ≈ 3.14 and round your answer to the nearest hundredth.
The radius is 10mm and the height is 5mm
Answer:
942 square millimeters.
Step-by-step explanation:
The formula for the surface area of a cylinder is:
S = 2πr^2 + 2πrh
where S is the surface area, r is the radius, and h is the height.
Substituting the given values, we get:
S = 2 x 3.14 x 10^2 + 2 x 3.14 x 10 x 5
S = 628 + 314
S = 942
Therefore, the surface area of the cylinder is 942 square millimeters.
HELP PLSS
Find the difference: √20-√80
O -12,5
O-2√5
O2√5
O-2√15
DONE✔
Answer:
\( - 2 \sqrt{5} \)
Step-by-step explanation:
\( \sqrt{20} - \sqrt{80} \)
\(2 \sqrt{5} - 4 \sqrt{5} \)
\((2 - 4) \sqrt{5} \)
\( - 2 \sqrt{5} \)
I need help with a question
We have the function:
\(y=-\frac{2}{3}x+7\)When we have the value of x, and we want to find the value of y, we replace x in the equation and calculate.
For x=-6, we have:
\(y=-\frac{2}{3}\cdot(-6)+7=\frac{-2\cdot6}{3}+7=-\frac{12}{3}+7=-4+7=3\)The value of y for x=-6 is y=3.
When we know y, and we want to know the value of x, we replace y and calculate.
For y=5, we have:
\(\begin{gathered} 5=-\frac{2}{3}x+7 \\ 5-7=-\frac{2}{3}x \\ -2=-\frac{2}{3}x \\ x=-2\cdot(-\frac{3}{2})=\frac{2\cdot3}{2}=3 \end{gathered}\)For y=5, the value of x is x=3.
We repeat this for the last two cases:
x=15, the value of y is y=17
\(y=-\frac{2}{3}(15)+7=10+7=17\)y=15, the value of x is x=-12
\(\begin{gathered} 15=-\frac{2}{3}x+7 \\ 15-7=-\frac{2}{3}x \\ 8=-\frac{2}{3}x \\ 8\cdot3=-2x \\ 24=-2x \\ x=\frac{24}{-2}=-12 \end{gathered}\)prepare to analyze the data (step 1): identify and classify the variable(s) you will use. here is the list of variables in the data set. use the menu to the right of each variable to: O indicate whether the variable is relevant to the questions we are investigating, and O identify the variable as either categorical or quantitative.
The Variables (a) Gender is Categorical , (b) Alcohol can be either Categorical or Quantitative and (c) Height is Quantitative .
We can identify the type of each variable as categorical or quantitative.
(a) Gender: This variable is categorical, as it describes a characteristic that can only take on a limited number of values (e.g., male or female).
(b) Alcohol: Without additional information , it is not clear whether this variable is categorical or quantitative.
If the data set only includes information about whether an individual drinks alcohol or not, then this variable is categorical. If the data set includes information about how much alcohol an individual consumes, then this variable would be quantitative.
(c) Height: This variable is quantitative, as it represents a numerical measurement of a continuous variable.
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The given question is incomplete , the complete question is
Identify and classify the variable(s) you will use. here is the list of variables in the data set.
(i) identify the variable as either categorical or quantitative.
the variables are (a) Gender , (b) Alcohol , (c) Height .
Jenny has c charms on her bracelet her older sister has five more charms than Jenny write an expression that
The expression that shows how many charms Jenny's older sister has is
c + 5.
What are algebraic expressions?
An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.).
Expressions are made up of terms.
According to the given question:
Jenny has c charms on her bracelet.
Her older sister has 5 more charms than Jenny.
To write an expression that shows the number of charms her older sister has. we simply add 5 extra charms to the number of charms Jenny has
Therefore, Jenny's older sister has c + 5 charms.
In this expression c represents the number of charms Jenny has.
The complete question is as follows:
Jenny has c charms on her bracelet. Her older sister has 5 more charms than Jenny. Write an expression that shows how many charms her older sister has.
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Gina uses a magnifying glass to look at bugs.A caterpillar that is 2 inches long appears 4.5 inches long through the glass.what is the scale factor?
The scale factor is 2.25.
Magnifying Glass Scale FactorThe scale factor is the ratio of the apparent size of the caterpillar through the magnifying glass to its actual size.
So, the scale factor is:Apparent size / Actual size = 4.5 inches / 2 inches = 2.25
Therefore, the scale factor is 2.25.
The concept of scale factor is applicable to problems that involve comparing the size of two objects or figures. Whenever you have two objects or figures, you can determine the scale factor by dividing the size of one object or figure by the size of the other object or figure.
For example, if you have a map that is drawn to scale, you can use the scale factor to determine the actual distances between locations. Similarly, if you are working with models or drawings of objects, you can use the scale factor to determine the actual size of the objects.
However, not all problems will involve the concept of scale factor. It is only applicable when there is a need to compare the size of two objects or figures.
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3. Solve the equation. Show your work. Express your answer as both a simplified mixed number and as a decimal.
Answer:
A residential community was polling households to find out whether they wanted to get their TV signal from a satellite or cable. The results are shown in the Venn diagram.
A circle labeled satellite 55 overlaps a circle labeled cable 75. Overlap is labeled 12. 4-column table with 3 rows. First column has no label with entries satellite, not satellite, total. Second column is cable with entries blank, 51%, blank. Third column is not cable with entries a, b, blank. Fourth column is labeled total with entries blank, blank, 100%.
What are the values of a and b in the relative frequency table for the survey results? Round answers to the nearest percent.
a = 82%, b = 3%
a = 38%, b = 50%
a = 38%, b = 3%
a = 93%, b = 19
The correct answer is:
a = 43%
b = 88%
To determine the values of a and b in the relative frequency table, we need to analyze the information provided in the Venn diagram and the given table.
From the Venn diagram, we can gather the following information:
The circle labeled "satellite" has a value of 55.
The circle labeled "cable" has a value of 75.
The overlap between the two circles is labeled as 12.
Using this information, we can complete the table:
First column - "Satellite":
Entries: Satellite, Not satellite, Total
Total: 55 (as given in the Venn diagram)
Second column - "Cable":
Entries: Blank, 51%, Blank
To find the value for the "Cable" entry, we need to subtract the overlap (12) from the total number of cable users (75).
Cable: 75 - 12 = 63
Therefore, the entry becomes: Blank, 51%, Blank
Third column - "Not Cable":
Entries: a, b, Blank
To find the value for "a," we subtract the overlap (12) from the total number of satellite users (55).
a: 55 - 12 = 43
To find the value for "b," we subtract the overlap (12) from the total number of households (100).
b: 100 - 12 = 88
Therefore, the entries become: 43, 88, Blank
Fourth column - "Total":
Entries: Blank, Blank, 100%
The total number of households is given as 100% (as stated in the question).
Therefore, the values of a and b in the relative frequency table are:
a = 43% (rounded to the nearest percent)
b = 88% (rounded to the nearest percent)
Hence, the correct answer is:
a = 43%
b = 88%
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How much will a person pay for 11.6 pounds of bananas at a price of 1.51 per pound?
Answer:
17.52
Step-by-step explanation:
literally 11.6 x 1.51 and then round to hundredth place
Anjie works on the weekends. Last Saturday she worked 7.75 hours and on Sunday she worked 8.5 hours. She earns $11 per hour. How much did she earn last weekend?
Hence, last weekend, Anjie earned $178.75.
Hoped this helped.
\(BrainiacUser1357\)
13-6=3x-14 whats the value of x
Answer:
x=9
Step-by-step explanation:
13+14=3x
27=3x
27/3=x
9=x
A student earn the score in the data set in 78 64 74 92 67 what is the mean of the scores
Answer:
75
Step-by-step explanation:
78+64+74+92+67 = 375
375 / 5 = 75
A large container holds 4 gallons of chocolate milk that has to be poured into bottles. Each bottle holds 2 pints.
If the ratio of gallons to pints is 1: 8,
bottles are required to hold the 4 gallons of milk.
Answer:
64 Bottles
Step-by-step explanation:
that is the procedure above
Name the line and plane shown in the diagram.
Considering the figure, the line and the plane are
Line PQ and plane PQSWhat is a line and a plane?A plane extends infinitely in two dimensions, but a line is defined as anything that extends infinitely in one direction
The extension of the line and plane in the diagram are defined hence discrete
PQ represents the line on the plane PQS
While Plane covers more space and in two dimension, plane can say to be covering area or measured as area. Line measures just the length
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You want to buy a $203,000 home. You plan to pay 10% as a down payment, and take out a 30 year loan for the rest. or a) How much is the loan amount going to be? $ b) What will your monthly payments be if the interest rate is 6%? $ c) What will your monthly payments be if the interest rate is 7%?
Answer:
The amount of the loan is going to be $ 182,700, and the monthly payments, if the interest is 6%, are going to be $ 537.95, while if the interest is 7%, are going to be $ 543.02.
Step-by-step explanation:
Given that you want to buy a $ 203,000 home, and you plan to pay 10% as a down payment, and take out a 30 year loan for the rest, for A) determine how much is the loan amount going to be, B) determine what will your monthly payments be if the interest rate is 6%, and C) determine what will your monthly payments be if the interest rate is 7%, the following calculations must be made:
A) 100 - 10 = 90
203,000 x 0.90 = X
182,700 = X
B) (182,700 x 1.06) / (30 x 12) = X
193,662 / 360 = X
537.95 = X
C) (182,700 x 1.07) / (30 x 12) = X
195,489 / 360 = X
543.025 = X
Therefore, the amount of the loan is going to be $ 182,700, and the monthly payments, if the interest is 6%, are going to be $ 537.95, while if the interest is 7%, are going to be $ 543.02.
complete the table for each circle. plz help marking as brainliest
Answer:
written in blue are answer
Step-by-step explanation:
please mark me brainliest
Which shows the expressions rewritten with the least common denominator?
7x-2
and
x-1
8x
28X-8
and
2x² - 2x
16x?
16x?
14x - 4
and
2x-2
8x?
8x?
28x2-8x 2x3 - 2x²
and
16x
16x?
14x - 4
and
8x2
8x?
Answer:
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Answer:
This question is missing a denominator!
it is 7x-2/4x^2 and x-1/8x
I do not know the answer though....I came here looking for help!!
Step-by-step explanation:
bubba buys a $95 calculator on sale for 30% off. what's the discount and sales price?
The machinery in a cereal plant fills 350 g boxes of cereal. The specifications for the machinery permit for a certain amount of fill tolerance. It is found that the weights of filled cereal boxes are normally distributed with a mean of 350 g and a standard deviation of 4 g. What is the probability that a box of cereal is under filled by 5 g or more?
There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.
To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.
First, we can standardize the problem by using the z-score formula:
z = (x - μ) / σ
Where:
x = the weight value we want to find the probability for (345 g in this case)
μ = the mean weight (350 g)
σ = the standard deviation (4 g)
Substituting the values into the formula:
z = (345 - 350) / 4 = -1.25
Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.
The probability of obtaining a z-score less than -1.25 is approximately 0.1056.
However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.
The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.
Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.
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From a window 100ft above the ground in building A, the top and bottom of building B are sighted so that the angles are 70 degrees and 30 degrees respectively. Find the height of building B?
Given:-
From a window 100ft above the ground in building A, the top and bottom of building B are sighted so that the angles are 70 degrees and 30 degrees respectively.
To find:-
The height of building B.
So now, the image of the given data is,
So now we find the value of PS. so we get,
\(\begin{gathered} \tan \text{ 30=}\frac{100}{PS} \\ \frac{1}{\sqrt[]{3}}=\frac{100}{PS} \\ PS=100\sqrt[]{3} \end{gathered}\)So now we find the height of QS,
\(\begin{gathered} \tan \text{ 70=}\frac{QS}{PS} \\ 2.7474=\frac{QS}{100\sqrt[]{3}} \\ QS=100\sqrt[]{3}\times2.7474 \\ QS=475.84 \end{gathered}\)So the total height is,
\(100+475.84=575.84\)So the height of building B is 575.84
Speed data were collected at a section of highway during and after utility maintenance work: The speed characteristics are given as_ and as shown below. Determine whether there was any significant difference between the average speed at the 95% confidence level (Z-1.96). The standard deviation of the difference in means is given as gd {( 012 n) - 022 n2)} DATA: uavh = 35.5 mph uav2 = 38.7 mph 2.5 mph =74 mph 250 n2 280
The standard deviation of the difference in means is (-1.96, 1.96). There is no significant difference between coverage speed at 95%
The speed characteristics are given as_
\($$ \begin{aligned}\bar{x}_1 & =35.5 & \bar{x}_2 & =38.7 \\\sigma_1 & =7.5 & \sigma_2 & =7.4 \\n_1 & =250 & n_2 & =280\end{aligned}$$\)
The standard deviation is a summary measure of the differences of each observation from the mean. If the differences themselves were added up, the positive would exactly balance the negative and so their sum would be zero.
Standard deviation, denoted by the symbol σ, describes the square root of the mean of the squares of all the values of a series derived from the arithmetic mean which is also called the root-mean-square deviation.So
\($$\begin{aligned}z=\frac{\overline{x_1}-\bar{x}_2}{\sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}} & =\frac{35.5-38.7}{\sqrt{\frac{(7.5)^2}{250}+\frac{(7.4)^2}{280}}} \\& =\frac{-3.2}{\sqrt{0.225+0.1956}} \\& =\frac{-3.2}{0.64852} \\\z & =-4.9343\end{aligned}$$\)
at 95% confidence acceptance region is: \($$(-1.96,1.96)\)
But \($z \notin(-1.96,1.96)$\)
So, there is no significant difference between coverage speed at 95%.
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The standard deviation of the difference in means is 0.4696 and acceptance region is (-1.96 , 1.96). So, there was no significant difference between the average speed sample data at the 95% confidence level.
Speed data was collected on a section of road during and after repair work. Now the significance level for mean rate = 95% = 0.95 The equation for the standard deviation of the mean difference is:
σd = √(σ₁²/n₁ + σ₂²/n₂).
For the first data sample,
Sample mean for average velocity, X₁
= 35.5 mph
sample size, n₁ = 250
standard deviation, σ₁ = 2.5 mph
sample seconds, sample mean for
average velocity, X₂ = 38.7 mph
sample size, n₂ = 280
standard deviation, σ₂ = 7.4 mph.
It is statistically significant to see if there is a difference between the two population means. Using the two sample Z =( X₁-bar - X₂-bar )/√(σ₁²/n₁) + (σ₂²/n₂)}
Substituting all known values,
Z = ( 35.5 - 38.
7 )/(2,5)²/250 + (7,4)²/280
=> Z = - 3,2/√0,025 + 0.1956
=> Z = -3.2/0.4696
=> Z = - 6.8832
95% confidence interval, tolerance range is (-1.96, 1.96). However, Z∉(-1.96 , 1.96)
So, there is no signification difference for means between avaerage speed at 95%.
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Complete question :
Speed data were collected at a section of highway during and after utility maintenance work: The speed characteristics are given as, and as shown below. Determine whether there was any significant difference between the average speed at the 95% confidence level (Z=1.96). The standard deviation of the difference in means is given as σd = √(σ₁²/n₁ + σ₂²/n₂). DATA: uav₁= 35.5 mph, uav₂= 38.7 mph ,σ₁ = 2.5 mph, σ₂= 7.4 mph n₁ = 250, n₂ = 280