Triangle \triangle ABC△ABCtriangle, A, B, C is reflected across line nnn to create \triangle A'B'C'△A
′
B
′
C
′
triangle, A, prime, B, prime, C, prime.
A triangle A B C. The length of side CA is sixty one units. The angle B is sixty seven degrees. The line n is to the right of triangle A B C. Triangle A prime B prime C prime is the image of triangle A B C after being reflected across line n. The length of side C prime B prime is fifty seven units. Angle A prime is fifty nine degrees.
A triangle A B C. The length of side CA is sixty one units. The angle B is sixty seven degrees. The line n is to the right of triangle A B C. Triangle A prime B prime C prime is the image of triangle A B C after being reflected across line n. The length of side C prime B prime is fifty seven units. Angle A prime is fifty nine degrees.
What is the measure of \angle C∠Cangle, C?
Answer: \(54^{\circ}\)
Step-by-step explanation:
Because reflections are rigid motions, we know that \(\triangle ABC \cong \triangle A'B'C'\), and thus \(\angle B \cong \angle B'\).
It follows that since angles in a triangle add to 180 degrees, \(m\angle C'=180^{\circ}-59^{\circ}-67^{\circ}=\boxed{54^{\circ}}\)
URGENT!!!!!!!!!!!!!!
Consider the linear function that is represented by the equation y = negative 10 x + 6 and the linear function that is represented by the equation y minus 36 = 8 (x minus 4). Which statement is correct regarding their slopes and y-intercepts?
Answer: The function that is represented by the equation y = negative 10 x + 6 has a steeper slope and a greater y-intercept.
Step-by-step explanation: I took the unit test on edge hoped this helped <3
We want to compare the slopes and y-intercepts of two given linear functions.
The comparations that we can make are:
The first line has a larger y-intercept.The second line has a larger slope.The general linear function in the slope-intercept is:
y = a*x + b
where a is the slope and b is the y-intercept.
Here, the two given lines are:
y = -10*x + 6
(here we can see that the slope is -10 and the y-intercept is 6).
The other line is:
y - 36 = 8*(x - 4)
Writing this in the slope-intercept form we get:
y = 8*x - 8*4 + 36
y = 8*x - 32 + 36
y = 8*x + 4
Then the slope is 8 and the y-intercept is 4.
Then the comparations that we can make are:
The first line has a larger y-intercept.The second line has a larger slope.If you want to learn more, you can read:
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Scientific notation refers to expressing a number as a product of any number between 1 and10 to the 10th power. Scientific notation is mostly used when dealing with large quantities ornumbers containing many digits since it shortens the notation.(1 Point)O TRUEFALSE
The answer is: TRUE
Lets see an example. If we have the number: one millon = 1,000,000
We can express that number in scientific notation as:
\(1000000=10^6\)We see that a number containing many digits (like one million) can be shortened using scientific notation.
Omg help! WORTH 20 points NEED ASAP!!!
Answer:
The second and last one
Step-by-step explanation:
Sorry if it's not the right answers
Answer:
The first one for sure and maybe the last one
Step-by-step explanation:
Explain how the distributive property can be used to eliminate the fractions in the equations
Answer:
x= −1/95
Step-by-step explanation:
1. Subtract 110x from both sides.
15x + 8 − 110x = 110x + 9 − 110x
−95x + 8 = 9
2. Subtract 8 from both sides;
−95x + 8 − 8 = 9 − 8
−95x = 1
3. Divide both sides by -95;
x= −1/95
mations to Determine Similarity
What steps would you take to determine if these
figures are similar? Check all that apply.
Use a scale factor of 2.
Multiply the vertices of polygon ABCD by
O Translate the intermediate image 4 units down.
Perform two different dilations.
Reflect the intermediate image.
The steps which you would take to determine if these figures are similar include the following:
2. Multiply the vertices of polygon ABCD by 1/2.
5. Reflect the intermediate image.
What is a dilation?In Mathematics and Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.
Therefore, the dimension or side lengths of the dilated geometric object would be stretched or compressed (shrunk) depending on the scale factor that is applied.
By critically observing the graph representing polygon ABCD, we can logically deduce that a sequence of transformations that would polygon ABCD (pre-image) onto polygon A"B"C"D" (image) is a dilation by a scale factor of 1/2 and a reflection of intermediate image.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
SELF 5.32 The quality control manager of Marilyn's Cook-
Test ies is inspecting a batch of chocolate-chip cookies that
has just been baked. If the production process is in control, the
mean number of chocolate-chip parts per cookie is 6.0. What is the
probability that in any particular cookie being inspected
a. fewer than five chocolate-chip parts will be found?
b. exactly five chocolate-chip parts will be found?
c. five or more chocolate-chip parts will be found?
d. either four or five chocolate-chip parts will be found?
5.33 Refer to Problem 5.32. How many cookies in a batch of 100
should the manager expect to discard if company policy requires
that all chocolate-chip cookies sold have at least four chocolate-
chip parts?
Answer: This question is most likely assuming a poisson distribution; it is impossible to compute without some distribution clarified, as otherwise we don't have applicable information.
Poison distribution is:
(λke-k) / k!
Where k is the number of outcomes you are looking for, and λ is the accepted average number of outcomes. So, λ is 6 for this example, and we are looking for values of k to use.
Solving problem b is simply substituting the value.
Prob of 5 parts: (65e-5) / 5!, using a calculator and working it out, this approximates to 0.437.
Solving problem a can be used for c; to get a, do the above equation 5 times for k = 0, 1, 2, 3 and 4, and add them all together. Though somewhat tedious, this would lead to the solution. To get part c, you would use the property of complements:
The cumulative probability here would be 1 - (total prob of all scenarios with k = 0, 1, 2, 3, 4, 5). You can get that total probability by adding the answers to part a and b together.
Finally, regarding part d, the above work can be redone with a new formula, now (λke-k) / k! would have λ as 5. This would reduce the answer for a, but increase it for b and c, which you can verify by running the calculations.
Step-by-step explanation:
Use the tangent to find the unknown side lengths.
Answer:
4.076
Step-by-step explanation:
tan27°= |AC|/8
8*tan27°= 4.076
Use the tangent to find the unknown side lengths.
This is the answer
Ac= 4.07
Ab=8.97
Explain your answer!
please help me with my online classwork!
Answer:
840 cm²---------------------------
There are two triangular faces with base of 16 cm and height of 15 cm and three rectangular faces.
Find the sum of areas of all five faces:
S = 2*(1/2)*16*15 + (17*2 + 16)*12 = 240 + 600 = 840Kaitlin sang 5 songs. Every song was 7/8 minutes long.For how much time did she sing in total?Write your answer in simplest form.
If Kaitlin sag 5 songs and each was 7/8 minutes long, then we can find the product to see for how much time did she sang
\(5\cdot\frac{7}{8}=\frac{35}{8}\)35/8 cannot be simplified.
Kaitlin sang for 35/8 minutes.
Determine whether the two triangles are similar and, if they are similar, state a reason.
Answer:
Step-by-step explanation:
By triangle sum theorem,
Sum of interior angles of a triangle is 180°.
Therefore, measure of third angle in the larger triangle = 180° - (35° + 120°) = 25°
Similarly, measure of third angle in the smaller triangle = 180° - (25° + 120°)
= 35°
Since, measure of interior angles of larger triangle is equal to the measure of smaller triangle,
Both the triangles will be similar by AA property of similarity.
The sum of two numbers is 4. Three times the larger number plus two times the smaller number is 26. Find the numbers.
The larger number is and the smaller number is
The larger integer number is 18 and the smaller integer number is -14.
Integers are the subset of Rational numbers which contains all numbers except fraction and decimals
Numbers are the building blocks of mathematics. Numbers are used to count ,measure or label quantities.
The different types of numbers are:
Real numbers: 89.26 , -847 , 4/5irrational numbers √2 ,√3 imaginary numbers (5 + 9i) Integers -89 , 65 , 45Let the smaller number be x. The sum of the numbers is 4 .
So the larger number is 4 - x
Again given that sum of three times the larger number and 2 times the smaller number is 26.
∴3 ( 4-x )+ 2x = 26
or, 12 -3x +2 x = 26
or, -x = 26-12
or, x = -14
Therefore the larger number is 4-(-14)= 18
Hence the larger integer number is 18 and the smaller number is -14 .
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What do I do if I fail an online Course in HS
Can someone help me please?
ASAP
Answer:
y = 12 x = 12\(\sqrt{3}\)
Step-by-step explanation:
This is a 60, 90, 30. It's a special triangle.
2z = 24
z = 12
If x = z\(\sqrt{3}\)
then x = 12\(\sqrt{3}\)
y = z itself
So y = 12
In the circle above, P is the center,What is the value, in degrees, of θ?
Answer:
45°
Step-by-step explanation:
There is a propiety that says "The measure of the inscribed angle is half that of the arc that the two sides cut out of the circle."
So the central angle is 90, the inscribed angle will be 90/2=45°
Find the domain of F(x)=8/x
Since divisions by zero is ill-defined, the domain for F(x)=8/x includes any real integers other than x=0. F(xdomain )'s is therefore (-infinity, 0) U (0, +infinity).
The definition of domainDescribe domain. The term "domain," which is unique to the internet, can apply to both the structure of the internet and the organization of a company's network resources. A domain is typically a sphere of information or a governing region.
What characteristics define a domain?A function's domain is the set of all potential inputs. For instance, the domain of f(x)=x2 and g(x)=1/x are all real integers with the exception of x=0.
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\(\frac{6-\sqrt{8} }{\sqrt{2}-1 }\)
Answer:
2 +4√2
Step-by-step explanation:
Perhaps you want the simplified form of (6-√8)/(√2 -1).
ConjugateThe denominator can be rationalized by multiplying numerator and denominator by the conjugate of the denominator:
\(\dfrac{6-\sqrt{8}}{\sqrt{2}-1}=\dfrac{(6-\sqrt{8})(\sqrt{2}+1)}{(\sqrt{2}-1)(\sqrt{2}+1)}=\dfrac{6\sqrt{2}+6-\sqrt{16}-\sqrt{8}}{2-1}=\boxed{2+4\sqrt{2}}\)
__
Additional comment
The conjugate of the denominator is the same pair of terms with the sign between them changed. The product of the binomial and its conjugate is then the difference of squares. Since the square of a square root eliminates the radical, multiplying by the conjugate has the effect of removing the radical from the denominator.
The same "difference of squares" relation can be used to remove a complex number from the denominator.
(a -b)(a +b) = a² -b²
In general, the differences of terms of the same power can be factored. This means that denominators with this form can be "rationalized" by taking advantage of that factoring.
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Answer:
\(4\sqrt{2}+2\)-----------------------
Simplify the expression in steps:
\(\cfrac{6-\sqrt{8} }{\sqrt{2}-1 } =\)
\(\cfrac{6-2\sqrt{2} }{\sqrt{2}-1 } =\)
\(\cfrac{2(3-\sqrt{2} )(\sqrt{2} +1)}{(\sqrt{2}-1)(\sqrt{2}+1) } =\)
\(\cfrac{2(3\sqrt{2}+3-(\sqrt{2}^2) -\sqrt{2} )}{(\sqrt{2})^2-1 } =\)
\(\cfrac{2(2\sqrt{2}+3-2) }{2-1} =\)
\(\cfrac{2(2\sqrt{2}+1) }{1} =\)
\(4\sqrt{2}+2\)
Order cube root of eighty-eight, twenty-eight ninths, square root of nineteen from greatest to least.
cube root of eighty-eight, twenty-eight ninths, square root of nineteen
twenty-eight ninths, square root of nineteen, cube root of eighty-eight
twenty-eight ninths, cube root of eighty-eight, square root of nineteen
cube root of eighty-eight, square root of nineteen, twenty-eight ninths
Answer:
(a) twenty-eight ninths, square root of nineteen, cube root of eighty-eight
Step-by-step explanation:
When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.
OrderThe attachment shows the ordering, least to greatest, to be ...
\(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)
__
Additional comment
We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.
One way to do the comparison is to convert these to values that need to have the same root:
√19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)
∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)
The roots will have the same ordering as 19³ and 88².
Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...
19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859
88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744
Then the ordering is ...
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Answer:
the ordering is
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Step-by-step explanation:
Evergreen Company sells lawn and garden products to wholesalers. The company's fiscal year-end is December 31. During 2024, the following transactions related to receivables occurred: February 28 Sold merchandise to Lennox, Incorporated, for $18,000 and accepted a 8%, 7-month note. 8% is an appropriate rate for this type of note. March 31 Sold merchandise to Maddox Company that had a fair value of $11,960, and accepted a noninterest-bearing note for which $13,000 payment is due on March 31, 2025. April 3 Sold merchandise to Carr Company for $11,000 with terms 3/10, n/30. Evergreen uses the gross method to account for cash discounts. April 11 Collected the entire amount due from Carr Company April 17 A customer returned merchandise costing $4,900. Evergreen reduced the customer’s receivable balance by $6,700, the sales price of the merchandise. Sales returns are recorded by the company as they occur. April 30 Transferred receivables of $67,000 to a factor without recourse. The factor charged Evergreen a 2% finance charge on the receivables transferred. The sale criteria are met. June 30 Discounted the Lennox, Incorporated, note at the bank. The bank’s discount rate is 10%. The note was discounted without recourse. September 30 Lennox, Incorporated, paid the note amount plus interest to the bank.
Products for the lawn and garden are sold by Evergreen Company to distributors. The final day of the company's fiscal year is December 31. The journal entry for 2021 is as follows, in accordance with the receivables-related transactions that took place:
1.Journal entries:
Feb. 28:
Notes Receivable 11,000
Sales 10,000
Interest Revenue 1,000
(To record the sale of merchandise on a 10%, 7-month note)
Mar. 31:
Notes Receivable 8,000
Sales 7,200
Discount on Note Receivable 800
(To record the sale of merchandise on a noninterest-bearing note)
Apr. 3:
Accounts Receivable 7,000
Sales 7,000
(To record the sale of merchandise with terms 2/10, n/30)
11:
Cash 6,860
Sales Discounts 140
Accounts Receivable 7,000
(To record collection of accounts receivable within discount period)
17:
Sales Returns and Allowances 5,000
Accounts Receivable 5,000
(To record return of merchandise)
30:
Cash 49,500
Loss on Sale of Receivables 500
Receivables Sold without Recourse 50,000
(In order to document the sale of receivables to a factor)
June 30:
Cash 9,680
Interest Expense 680
Notes Receivable 11,000
Discount on Note Receivable 640
(To record discounting of the Lennox note)
Sep. 30:
Cash 11,070
Notes Receivable 10,000
Interest Revenue 1,070
(To record payment of the Lennox note)
2. Adjusting entries at December 31, 2021:
Dec. 31:
Interest Receivable 1,710
Interest Revenue 1,710
(To record interest accrued on the Lennox note)
3. Schedule showing how journal entries will affect your income before taxes in 2021:
Sales 24,200
Less: Sales Returns (5,000)
Net Sales 19,200
Interest Revenue 1,710
Discount on Note Receivable (160)
Interest Expense (680)
Loss on Sale of Receivables (500)
Income Before Taxes 19,570
The complete question is:-
Evergreen Company sells lawn and garden products to wholesalers. The company’s fiscal year-end is December 31. During 2021, the following transactions related to receivables occurred:
Feb. 28 Sold merchandise to Lennox, Inc., for $10,000 and accepted a 10%, 7-month note. 10% is an appropriate rate for this type of note.
Mar. 31 Sold merchandise to Maddox Co. that had a fair value of $7,200, and accepted a noninterest-bearing note for which $8,000 payment is due on March 31, 2022.
Apr. 3 Sold merchandise to Carr Co. for $7,000 with terms 2/10, n/30. Evergreen uses the gross method to account for cash discounts.
11 Collected the entire amount due from Carr Co.
17 A customer returned merchandise costing $3,200. Evergreen reduced the customer’s receivable balance by $5,000, the sales price of the merchandise. Sales returns are recorded by the company as they occur.
30 Transferred receivables of $50,000 to a factor without recourse. The factor charged Evergreen a 1% finance charge on the receivables transferred. The sale criteria are met.
June 30 Discounted the Lennox, Inc., note at the bank. The bank’s discount rate is 12%. The note was discounted without recourse.
Sep. 30 Lennox, Inc., paid the note amount plus interest to the bank.
Required:
1. Prepare the necessary journal entries for Evergreen for each of the above dates. For transactions involving the sale of merchandise, ignore the entry for the cost of goods sold.
2. Prepare any necessary adjusting entries at December 31, 2021. Adjusting entries are only recorded at year-end.
3. Prepare a schedule showing the effect of the journal entries on 2021 income before taxes
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Help due in a bit!
subject: Pythagorean Theorem
Do the following lengths form a right triangle?
Answer:
alright this is an easy question to do u have to use the Pythagorean theorem which is a²+b²=c²
so put the number of the triangle in this form for #1
Step-by-step explanation:
1.6²+9²=8²
=117=64
2.5²+13²=12²
=194=144
how do you change a hot air baloon descends 200 feet per minute from a altitude of 1000 feet into a algebraic expression.
A bakery can make 6 cheesecakes for every 60 blocks of cream cheese. Which table represents the relationship between the number of cheesecakes the bakery makes and the number of blocks of cream cheese the bakery uses?
Number of cheesecakes | Number of blocks of cream cheese
Cheesecakes Blocks of Cream Cheese
6 60
12 120
18 180
24 240
30 300
The table above represents the relationship between the number of cheesecakes the bakery makes and the number of blocks of cream cheese the bakery uses. It shows that for every 60 blocks of cream cheese, the bakery can make 6 cheesecakes, and as the number of blocks of cream cheese increases, the number of cheesecakes the bakery can make also increases in multiples of 6.
How many cheesecakes can the bakery make using 90 blocks of cream cheese?If the bakery can make 6 cheesecakes for every 60 blocks of cream cheese, we can set up a proportion to find out how many cheesecakes they can make using 90 blocks of cream cheese:
6 cheesecakes / 60 blocks of cream cheese = x cheesecakes / 90 blocks of cream cheese
To solve for x, we can cross-multiply:
6 cheesecakes * 90 blocks of cream cheese = 60 blocks of cream cheese * x cheesecakes
540 cheesecakes = 60x
Dividing both sides by 60, we get:
x = 9 cheesecakes
Therefore, the bakery can make 9 cheesecakes using 90 blocks of cream cheese.
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8. Iris wants to buy two necklaces, one for her sister and one for herself. The necklace for her sister costs $42.00, and the necklace for herself costs $28.00. The sales tax on the purchases is 8%. Find the total cost of Iris's purchases, including sales tax. If necessary, round your answer to the nearest cent. C $75.60 A $64.40 B $5.60 B D $70.00
a student earned 44 out of 50 points on the last test. what percent correct did the student earn
Answer:
88%
Step-by-step explanation:
44/50 = 88/100 = 88%
88% is the answer ❤️❤️❤️❤️
Identify the slope, y-intercept, write the equation and zero of the line on the graph.
Answer:
0,-4 is the y-intercept and y2+x is the equation I think
Step-by-step explanation:
What is the equation of the line in slope-intercept form?
Answer:
y=3/5x+3
Step-by-step explanation:
3 is the y-intercept so that is the "b". To find the slope simply use rise/run.
Eduardo is painting a rectangular wall that is 96 inches high and 110 inches long. What is the area of the wall?
Here the height and length are the sides of the rectangular wall and we have to find the area.
Area of rectangle is given by:
\( = l \times b\)
where l is the length and b is the breadth/width according to the question. Plugging the given values:
\( = 110 \times 96 \: {inch}^{2} \)
\( = 10560 \: {inch}^{2} \)
Hence:-The area of the wall is 10560 inch²
Please help I don't get this
Find the difference or type
"impossible"
[3 –8] + [4 - 5 -6]
? ? ?
It’s a matrice
Answer:
-12
Step-by-step explanation:
explanation in the picture bruv