Question

The figures in the picture are similar to each other find the value of x

Answer 1

x = 7

Explanation:

Similar figures have sides that are proportional. Setting up a proportion for the sides of the figures will help solve for 'x':

`(small)/(large)=(3)/(6)=((x-3))/((x+1))`

Cross-multiply: 3(x + 1) = 6(x - 3)

Distribute: 3x + 3 = 6x - 18

Combine like terms: 21 = 3x

Solve for 'x': x = 7