Question

Find the missing length and reduce

Answer 1

Answer:

x = $\frac{15}{2}$

Step-by-step explanation:

Since the figures are similar the the ratios of corresponding sides are equal, that is

$\frac{x}{10}$ = $\frac{9}{12}$ ( cross- multiply )

12x = 90 ( divide both sides by 12 )

x = $\frac{90}{12}$ = $\frac{15}{2}$

Answer 2

Answer:

$\large\boxed{x=\dfrac{15}{2}}$

Step-by-step explanation:

If two polygon are similar, then corresponding sides are in proportion.

Therefore:

$\dfrac{x}{10}=\dfrac{9}{12}\qquad\text{cross multiply}\\\\12x=(10)(9)\\\\12x=90\qquad\text{divide both sides by 12}\\\\\dfrac{12x}{12}=\dfrac{90}{12}\\\\x=\dfrac{90:6}{12:6}\\\\x=\dfrac{15}{2}$