Question

using the following diagram, solve for x.
x = \square (simplify your answer. type an integer or a decimal.)

Explanation:

Step1: Identify similar triangles

The smaller triangle is similar to the larger triangle, so corresponding sides are proportional.

Step2: Set up proportion

$\frac{x}{6} = \frac{14}{8}$

Step3: Solve for x

Multiply both sides by 6: $x = 6 \times \frac{14}{8}$
Simplify the expression: $x = \frac{84}{8} = 10.5$

Answer:

10.5