Question

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

Answer 1

Answer:

x = 7

Step-by-step explanation:

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

$\frac{small}{large}=\frac{3}{6}=\frac{(x-3)}{(x+1)}$

Cross-multiply:  3(x + 1) = 6(x - 3)

Distribute:  3x + 3 = 6x - 18

Combine like terms:  21 = 3x

Solve for 'x':  x = 7