m∠R = 27.03°
Solution:
Given In ΔQRP, p = 28 km, q = 17 km, r = 15 km
To find the measure of angle R:
Law of cosine formula for ΔQRP:

Substitute the given values in the above formula.



Switch the given equation.

Subtract 1073 from both side of the equation.

Divide by –952 on both sides.



Hence m∠R = 27.03°.
The total area of the composite figure is 176 ft
<h3>How to find the area of a composite figure?</h3>
The area of a composite figure can be found as follows;
Therefore,
Total area = area of rectangle + area of triangle
area of rectangle = lw
where
Therefore,
area of a rectangle = 16 × 8
area of a rectangle = 128 ft²
area of triangle = 1 / 2 bh
where
Therefore,
area of triangle = 1 / 2 × 12 × 8
area of triangle = 48 ft²
Total area of the composite figure = 48 + 128 = 176 ft
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Answer:
C
Step-by-step explanation:
∠ AFD = ∠ AFB + ∠ BFC + ∠ CFD
The 3 angles form a straight angle and sum to 180°, that is
4x + 5 + 6x + 3 + 5x + 7 = 180, that is
15x + 15 = 180 ( subtract 15 from both sides )
15x = 165 ( divide both sides by 15 )
x = 11
∠ CFD = 5x + 7 = 5(11) + 7 = 55 + 7 = 62°, thus
∠ AFE = ∠ CFD = 62° ( vertical angles are congruent )
Answer:
11.7
Step-by-step explanation:
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