Ratio = 2 : 3 : 5
Hence, the interior angles of the triangles are 2x, 3x and 5x.
We know, the sum of the interior angles of are triangle is 180°.
2x + 3x + 5x = 180
10x = 180
x = 18
Hence, the angles are 36°, 54°, 90°.
Hence, the measure of the largest interior angle is 90°.
Answer:
x=7
Step-by-step explanation:
7x-7=4x+14
3x=21
x=7
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area of the opening 14.93 sq. inch.
From this statement "the area of the opening may be expressed as the function: a(θ) = 16 sin θ ⋅ (cos θ + 1).
if θ = 30°
We can substitute 30° in the expression a(θ) = 16 sin θ ⋅ (cos θ + 1) to get the area of the opening.
The area of the opening = 16 sin 30 ⋅ (cos 30 + 1)
= 16x0.5 (0.866 + 1)
= 8(1.866)
= 14.93 sq. inch.
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