1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Liula [17]
3 years ago
11

Pqr is similar to xyz what is the perimeter of xyz? A.21cm B.63cm C. 105cm D.126cm

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
5 0

Answer:

option D. 126 cm

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In this problem

Triangles PQR and XYZ are similar by AA Similarity Theorem

so

\frac{XY}{PQ}=\frac{YZ}{QR}=\frac{XZ}{PR}

Let

z ---> the scale factor

z=\frac{XY}{PQ}

substitute the given values

z=\frac{30}{5}=6

step 2

Find the perimeter of triangle XYZ

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z ----> the scale factor

p_1 ----> the perimeter of triangle XYZ

p_2 ---> the perimeter of triangle PQR

so

z=\frac{p_1}{p_2}

The perimeter of triangle PQR is

p_2=5+10+6=21\ cm

we have

z=6\\p_2=21\ cm

substitute

6=\frac{p_1}{21}

p_1=6(21)=126\ cm

therefore

The perimeter of triangle XYZ is 126 cm

You might be interested in
NEED HELP!!! I DON"T UNDERSTAND HOW TO FILL THIS IN. WILL MARK BRAINLIEST FOR THE BEST ANSWER!!!
Gnoma [55]
I think the answer is:
Rectangle: X X O X X
Rhombus: X X X X O
Square: X X X X X
I hope you got a good grade!!!
4 0
3 years ago
Four hundred people were asked whether gun laws should be more stringent. three hundred said "yes," and 100 said "no." the point
Anna11 [10]
To find relative frequency of no voters; 

p(A)=favourable outcomes/total outcomes 

p(A)=100/400 

= 1/4 or 0.25 

Therefore, the probability a person will respond with a no is 0.25.

Hope I helped :)
8 0
3 years ago
Identify the number as real, complex, pure imaginary, or nonreal complex.<br> - 169
barxatty [35]

Answer:

real

Step-by-step explanation:

-169  is a negative integer and integers are real numbers

8 0
3 years ago
Read 2 more answers
What is the y intercept of the line
Juliette [100K]
Because a function must pass the vertical line test , a function can have at most one y -intercept .

The y -intercept is often referred to with just the y -value.
4 0
2 years ago
Read 2 more answers
15% converted to a fraction then simplified to lowest terms
mojhsa [17]
Percent means parts out tof 100 so 15%=15/100
divide by 5/5
3/20=lowet terms
4 0
3 years ago
Other questions:
  • How many numbers are 10 units from 0 on the number line?
    15·2 answers
  • Which triangle has hypotenuse AE
    9·2 answers
  • Find slope and y-intercept -4x+2y=10
    11·2 answers
  • Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
    7·1 answer
  • Lexie wants to earn at least $400 a week. She earns $10 an hour working at a grocery store and $8 an hour working at a restauran
    13·1 answer
  • Determine x in the following equation 2x - 4 = 10
    12·1 answer
  • Consider f(x) = 2x2 + 1 and g(x) = 3x − 6. Which statement about f + g is true?
    10·1 answer
  • A cube has sides with a length of 1/3 cm. What is its volume?
    7·2 answers
  • The student council at Oakdale High School is making T-shirts to sell for a fundraiser, at a
    11·1 answer
  • Whoever answers i’ll mark brainliest
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!