Question

triangle mo is similar to triangle bt as shown. *diagram not drawn to scale what is the value of x? a 8 m b 10 m c 13 m d 15 m e 18 m

Explanation:

Step1: Set up proportion

Since $\triangle MO$ is similar to $\triangle BT$, the ratios of corresponding sides are equal. So, $\frac{MO}{BT}=\frac{AO}{AT}$. Substituting the given values, we have $\frac{5}{x}=\frac{6}{18}$.

Step2: Cross - multiply

Cross - multiplying the proportion $\frac{5}{x}=\frac{6}{18}$ gives us $6x = 5\times18$.

Step3: Solve for x

First, calculate $5\times18 = 90$. Then, we have the equation $6x=90$. Divide both sides by 6: $x=\frac{90}{6}=15$.

Answer:

D. 15 m