Question

this is the only question in this section.
question
find x
triangle image with segments marked and expressions 7x, 17x - 18
answer attempt 6 out of 99
additional solution no solution
x = blank submit answer

Explanation:

Step1: Identify Midline Theorem

The triangle has midsegments (marked with ticks), so the midline theorem applies: midline length is half the base. Thus, \( 7x=\frac{1}{2}(17x - 18) \).

Step2: Solve the Equation

Multiply both sides by 2: \( 14x=17x - 18 \).
Subtract \( 14x \) and add 18: \( 18 = 3x \).
Divide by 3: \( x = 6 \).

Answer:

\( x = 6 \)