Question

please help with this question.

Answer 1

Answer:

Step-by-step explanation:

$\frac{z}{15}=\frac{6}{9}\\\\z=\frac{6}{9}*15\\\\z=2*5=10$

Answer 2

Answer:

$z=10$

Step-by-step explanation:

The two polygons are similar, so using the property of the similar figures:

                  $\frac{6}{9}= \frac{z}{15}$

Solving the fractions for the value of 'z' i.e the side of the big polygon:

                  $\frac{6}{9}= \frac{z}{15}$

On cross multiplication:

                  $6(15)=z(9)\\\\90=9z$

Dividing by '9' both the sides:

                  $z=\frac{90}{9}$

                  $z=10$

The value of 'z' is 10.