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Answers:</h3><h3>
x = 12</h3><h3>
Angle B = 45 degrees</h3>
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Explanation:
Angles A and B are alternate exterior angles.
Due to the parallel lines, alternate exterior angles are congruent
A = B
5x-15 = 2x+21
5x-2x = 21+15
3x = 36
x = 36/3
x = 12
Use this x value to find the measure of angle B
angle B = 2x+21
angle B = 2*12+21
angle B = 24+21
angle B = 45 degrees
As a check,
angle A = 5x-15
angle A = 5*12+15
angle A = 60-15
angle A = 45 degrees
Since A and B are both 45 degrees, this confirms the correct x value
Answer:
3/2
Step-by-step explanation:
Hes using trigonomtery of a right angled triangle.
tan 72 = x / 12.25 where x = height of the wall
x = 12.25 * tan 72 = 37.7 feet
Answer:
Step-by-step explanation:
After 3 hours, Spike charges 6 dollars per hour. For 3 hours, the charge is only $5×3 = $15 (which is $3 less than $6×3). So the rate after 3 hours can be modeled by ...
s(h) = 6h -3
For 8 hours, s(8) = 6·8 -3 = 45 . . . . dollars
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After 4 hours, Main Deck charges 8 dollars per hour. For 4 hours, the charge is only $18 (which is $14 less than $8×4). So the rate after 4 hours can be modeled by ...
m(h) = 8h -14
For 8 hours, m(8) = 8·8 -14 = 50 . . . . dollars
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For 8 hours, the $45 charge at Spike's is $5 less than the $50 charge at Main Deck.
