Question

phoebe set up this proportion when solving for x. what went wrong?
\\(\frac{3}{x}=\frac{8}{4}\\)
o phoebe should have chosen \\(\frac{3}{x}=\frac{10}{5}\\)
o nothing, its perfect
o phoebe switched ratios so there is no consistency across the top and bottom

Explanation:

For similar - shaped triangles, when setting up a proportion, the ratios of corresponding sides must be consistent. In Phoebe's proportion $\frac{3}{x}=\frac{8}{4}$, the sides are not paired correctly as corresponding sides. The correct way is to match corresponding sides for the ratio. So Phoebe switched ratios and there is no consistency.

Answer:

Phoebe switched ratios so there is no consistency across the top and bottom