Question

What is the value of x?



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x =

Answer 1

x = 9

The sides on the left are proportional and can be used to find the sides on the right.

Since 72/8=9, 56/8 must equal 3x-20

`3x - 20 = 7 \\ 3x = 27 \\ x = 9`

Answer 2

x = 9

Explanation:

The bottom segment on the left (72 cm) is 8 times the top segment (9 cm). The dividing line is parallel to the base, so we expect the same ratio on the right. That makes ...

3x -20 = 56/8 = 7

3x = 27 . . . . . . . . add 20

x = 9 . . . . . . . . . . . divide by 3