Question

check rachels steps as she solves the problem. if there is a mistake, where does the first mistake occur? assume the sides that look parallel are parallel.
step 1: \\( \frac { 14 } { 6 } = \frac { x } { 4.5 } \\)
step 2: \\( 6 x = 63 \\)
step 3: \\( x = 10.5 \\)

Explanation:

Step1: Analyze the proportion setup

For similar triangles (since sides are parallel), the correct proportion should be \(\frac{6}{6 + 14}=\frac{4.5}{4.5+x}\), not \(\frac{14}{6}=\frac{x}{4.5}\). Rachel's Step 1 is wrong.

Answer:

Step 1