Question

Use Similar Polygons to Find x

Answer 1

• x = 8

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We know that corresponding sides of similar figures are proportional.

Thus we have equal ratios:

• 7x/9x = (8x - 1)/(10x + 1)

Solve it for x:

• 7x/9x = (8x - 1)/(10x + 1) Cancel x on the left side as x ≠ 0
• 7/9 = (8x - 1)/(10x + 1) Cross- multiply
• 7(10x + 1) = 9(8x - 1) Distribute
• 70x + 7 = 72x - 9 Collect like terms
• 72x - 70x = 7 + 9 Simplify
• 2x = 16 Divide by 2
• x = 8 Answer