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astraxan [27]
2 years ago
15

Please help me out if you can!

Mathematics
2 answers:
Anettt [7]2 years ago
8 0
The answer is X=21 plus in 2(21)-15=27
3(21)=63
63+27+90=180
Mkey [24]2 years ago
7 0

Ok so we know that consecutive angles are supplementary and the diagonals bisect the angels so

2x-15+3x=90

5x=105

X=21

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Step-by-step explanation:

Recall that cos(θ + φ) = cos(θ)cos(φ) - sin(θ)sin(φ)

If sin(θ) = -3/5 in Quadrant III, then cos(θ) = -4/5.

Since tan(φ) = sin(φ)/cos(φ), then sin(φ) = -7/25 and cos(φ) = 24/25 in Quadrant II.

Therefore:

cos(θ + φ) = cos(θ)cos(φ) - sin(θ)sin(φ)

cos(θ + φ) = (-4/5)(24/25) - (-3/5)(-7/25)

cos(θ + φ) = (-96/125) - (21/125)

cos(θ + φ) = -96/125 - 21/125

cos(θ + φ) = -117/125

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