Q58. - Algebra 1

Question

What is the value of x?

Step-by-Step Solution

Answer

The value $x$ is 3.

Step 1. Given.

The triangle is given as.

Step 2. To determine.

We have to find the value of $x$ using the concept of similar triangles.

Step 3. Calculation.

$\begin{array}{l}\frac{4}{\left(4+6+2\right)}=\frac{x}{9}\\ \frac{4}{12}=\frac{x}{9}\\ 12x=4\times 9\\ x=3\end{array}$

Thus, the value $x$ is 3.