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Please help me solve this!

Solve for X. The Polygons in each pair are similar.

A. 10
B. 12
C. 13
D. 6

Please help me solve this! Solve for X. The Polygons in each pair are similar. A. 10 B-example-1
User Hoang Hiep
by
7.6k points

2 Answers

6 votes

Answer:

Its A

Explanation:

The line marked x + 8 corresponds to the line of length 3 ( in the smaller triangle).

As they are similar

6/36 = 3/(x + 8)

1 / 6 = 3 / (x + 8)

Cross multiply:-

x + 8 = 18

x = 10

User Rdegges
by
8.0k points
2 votes

Answer:

A

Explanation:

You are given that the two triangles are similar. that means that the corresponding sides are in a ratio.

(x + 8):3 = 36:6

Rewrite the proportion as an equation

(x + 8)/3 = 36/6 Multiply both sides by 3

x + 8 = 36 * 3 / 6 combine factors on the right 3 * 36 which is 108

x + 8 = 108 / 6 combine again

x + 8 = 18 Subtract 8 from both sides.

x + 8 - 8 = 18 - 8

x = 10

User NoriSte
by
7.4k points