lucindaewarbi lucindaewarbi
  • 21-01-2022
  • Mathematics
contestada

The triangle are similar.

What is the value of x

Enter your answer in the box.

X=

The triangle are similar What is the value of x Enter your answer in the box X class=

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jimthompson5910 jimthompson5910
  • 21-01-2022

Answer:  x = 4

Explanation:

Focus on the horizontal pieces. The jump from 3 to 15 is "times 5".

Then focus on the diagonal pieces. The jump from 5 to 25 is also "times 5".

Therefore, the scale factor is 5 when going from small triangle to large (right to left).

For the vertical pieces 4 and 3x+8, we also have a jump of "times 5" to keep things consistent. Otherwise, the triangles wouldn't be similar.

This must mean the 3x+8 side is equal to 4*5 = 20

So,

3x+8 = 20

3x = 20-8

3x = 12

x = 12/3

x = 4

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