Answer:
RS/VU=ST/UT and ∠S≅∠U
Step-by-step explanation:
we know that
The <u>Side-Angle-Side Similarity Theorem </u>states that: If two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar
In this problem the included angle is
∠S≅∠U
therefore
side RS must be proportional to side VU and side ST must be proportional to side UT
so
RS/VU=ST/UT
<em>Verify</em>
substitute the given values
12/6=16/8
2=2 -----> is true
therefore
The two sides are proportional
The equation in the question is not the same as the one in the picture so here's the answers to both of them.
Q1 - 1/3 or 0.333333
Q2 - 1/108 or 0.009259
Answer: 65%

Step-by-step explanation:
To get the percentage of the seats in the theatre were filled by the 6th graders on the trip,
it will be

Givens
D = 621 miles
r = 51.75
t = ?
Formula
d = r * t
Solve
621 miles = 51.75 * t Divide by 51.75
621 / 51.75 = t
t = 12 hours.
Answer B