What is the volume of the composite shape to the nearest whole number? (Pls answer, due today!)
1 answer:
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Given:
m∠L = 8x - 41
m∠M = 2x + 1
m∠N = 6x + 3
Let's find the measure of angle P
A paralellogram has equal opposite angles.
Therefore, the opposite angles(L and N) and (P and M) are equal.
Thus, we have:
m∠L = m∠N
8x - 41 = 6x + 3
Let's solve for x:
Add 41 to both sided
8x - 41 + 41 = 6x + 3 + 41
8x = 6x + 44
Subtract 6x from both sides:
8x - 6x = 6x - 6x + 44
2x = 44
Divide both sides by 2:
Thus, we have:
m∠P = m∠M = 2x + 1
m∠P = 2x + 1
Substitute 22 for x in (2x + 1)
m∠P = 2(22) + 1
m∠P = 44 + 1
m∠P = 45°
Therefore, the measure of angle P is 45 degrees.
ANSWER:
m∠P = 45°
