If triangle ABC is similar to triangle PQR, find the value of x and y.

If Triangle ABC Is Similar To Triangle PQR, Find The Value Of X And Y.

Answers

Answer 1

Answer:

x = 9

y = 6

Step-by-step explanation:

ΔABC ~ ΔPQR

Therefore, corresponding sides of these similar triangles will be in the proportional.

[tex]\frac{AB}{PQ}=\frac{BC}{QR}= \frac{AC}{PR}[/tex]

[tex]\frac{6}{x}= \frac{4}{y}= \frac{8}{12}[/tex]

[tex]\frac{6}{x}= \frac{8}{12}[/tex]

x = [tex]\frac{12\times 6}{8}[/tex]

x = 9

Similarly, [tex]\frac{4}{y}= \frac{8}{12}[/tex]

y = [tex]\frac{12\times 4}{8}[/tex]

y = 6


Related Questions

Which equation is correct?

75 × 4 = 70 + 5 × 4

75 × 4 = 70 × 4 + 5 × 4

75 × 4 = 700 × 4 + 5 × 4

75 × 4 = 70 × 4 + 5

Answers

The answer is A
75 x 4= 70 + 5 x 4

Calvin paints pictures and sells them at art shows. The charges $56.25 for a large painting. He charges $25.80 for a small painting. Last month he sold six large paintings and three small paintings. How much did he make in all?

Answers

Answer:

He made $414.90 in all.

Step-by-step explanation:

56.25 * 6 = $337.50

25.80 * 3 = $77.40

77.40 + 337.50 = $414.90

please help me with this

Answers

There is no picture or information!


I need help please it’s due tomorrow

Answers

Answer:

<E(it is obtuse), <C, <D

The angle opposite to the longer side is greater than the angle opposite to the shorter side

^^for the second one use the same logic <C, <B, <A

Sam is planning to open a pool cleaning business from his home. Sam’s business will come with a set-up cost of $9,000 and an annual operational cost of $30,500. Sam anticipates an annual profit of $45,000 for the first year and expects profits to increase by 5.5% annually for the next 5 years.

This is all information Sam should include in the _____ component of his business plan.
a.
organization plan
b.
financial analysis
c.
executive summary
d.
implementation plan

Answers

Answer:

The correct answer is B. Financial analysis.

Step-by-step explanation:

Financial analysis is a specific part of resource analysis, which in practice means an analysis of activities in which finance or money and time play a primary role. The aim of such an analysis is to reveal the strengths and weaknesses of the company, to determine its performance and to evaluate the information obtained so that the financial analysis becomes one of the tools used to manage the company.

Answer:

B.

Step-by-step explanation:

You put $500 in a savings account. The account earns $20 simple interest in 6 months. What is the annual interest rate? Write your answer as a percent

Answers

Answer:

8%

Step-by-step explanation:

For simple interest, we use the equation I = PRT, where I is the interest earned, P is the principal/amount invested, R is the rate as a decimal, not percentage, and T is the time in years.

For this problem, we have to use 0.5 for T, because 6 months is 1/2 a year.

20 = (500)(r)(0.5)

20 = 250r

r = 0.08 = 8%

10
Sara was thinking of a number. Sara adds 19 to it, then doubles it and gets an answer of 39.2. What was the original number?

Answers

Answer:

0.6

Step-by-step explanation:

2(x+19)=39.2

x+19=19.6

x=0.6

Which one, please?!
Quickly!

Answers

Answer:

c) FJ and GH

Step-by-step explanation:

A set of perpendicular lines form 90 degrees. We can see a 90 degree “square” in the image formed by FJ and GH.
So the answer is choice C) FJ and GH

Jose deposits S300 into an account that pays simple interest at a rate of 6% per year. How much interest will he be paid in the first 3 years?

Answers

Answer:

$54

Step-by-step explanation:

300 times 0.06 times 3

0.06 times 3 = 0.18

300 times 0.18 = 54

The simple interest is $54

Answer:

$54

Step-by-step explanation:

A = P(1 + rt)

300(1 + (0.06 × 3)) = 354

cogenuity Quiz
Find the value of 6^3.
OA) 6
ОВ) 36
OC) 72
OD) 216

Answers

Answer: OD) 216

Step-by-step explanation: 6^3 multiple it three times 6x6x6=216

PLEASE HELP!!! I WILL GIVE BRAINLIEST

Answers

Answer:x=2y=3

Step-by-step explanation: I did this before

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