Question

(d) problem 22: (first taught in lesson 55)
find x.
after you enter your answer press go.
x =

Explanation:

Step1: Apply the mid - segment theorem

The mid - segment of a triangle (a segment connecting the midpoints of two sides of a triangle) is parallel to the third side and half its length. Here, \( LE \) is the mid - segment of \( \triangle PIW \), so \( 4x=\frac{1}{2}(14x - 18) \).

Step2: Solve the equation

Multiply both sides of the equation \( 4x=\frac{1}{2}(14x - 18) \) by 2 to get \( 8x=14x - 18 \).
Subtract \( 14x \) from both sides: \( 8x-14x=-18 \), which simplifies to \( - 6x=-18 \).
Divide both sides by \(-6\): \( x = 3 \).

Answer:

\( x = 3 \)