Can someone please help me with this? What would be the measure of angle R to the nearest tenth?

Step-by-step explanation:

There are two ways to do this.

1. You could make an accurate diagram and measure R. This works but the computer won't like it. However you will know if you are correct. An answer ± 2 degrees would tell you that you are likely correct.

2. The second way is to find <C. Similarity guarantees that <C and <R are equal. The adjacent side to angle C is the second longest line. The second longest line in PQR is the adjacent side of <R.

Naturally we will use the second method, but you ought to try the first method. It's cumbersome but it will teach you how to read the values of triangles to make clear the trig functions.

Tan(C) = opposite over adjacent

Tan(C) = 7 /  9

Tan(C) = .77777777...

<C = tan-1(0.7777777...)

<C = 37.87

<C = 37.9

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36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls