Question

1. determine if triangle rst and triangle uvw are or are not similar, and, if they are, state how you know. (note that figures are not necessarily drawn to scale.) the triangles word bank 1 similar. if they are similar, complete the sentence. the triangles are similar because word bank 2 word bank 1: (a) are, (b) are not word bank 2: (a) sss: three sides proportionate, (b) sss: three sides congruent, (c) sas: two sides proportionate, included - angle congruent, (d) sas: two sides - included angle congruent, (e) aa: two angles congruent 3. solve for x.

Explanation:

Step1: Set up proportion

Since the triangles are similar, the ratios of corresponding sides are equal. We have the proportion $\frac{12x + 6}{120}=\frac{25}{20}$.

Step2: Cross - multiply

Cross - multiplying gives us $20(12x + 6)=25\times120$.
Expand the left - hand side: $240x+120 = 3000$.

Step3: Solve for x

Subtract 120 from both sides: $240x=3000 - 120=2880$.
Divide both sides by 240: $x=\frac{2880}{240}=12$.

Answer:

$x = 12$