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2 years ago

100 points!!

Mathematics

2 answers:

grandymaker [24]2 years ago

5 0

Answer:

x = 84

y = 96

Step-by-step explanation:

Alternate interior angles are a pair of nonadjacent interior angles that are on opposite sides of the transversal. Alternate interior angles are equal.

Therefore, x = y - 12

Angles on a straight line add up to 180°

Therefore, x + y = 180

Substituting x = y - 12 into x + y = 180 and solve for y:

⇒ y - 12 + y = 180

⇒ 2y - 12 = 180

⇒ 2y = 192

⇒ y = 96

Substitute found value for y into x = y - 12 and solve for x:

⇒ x = 96 - 12

⇒ x = 84

iren2701 [21]2 years ago

3 0

$x = (y - 12) \\ then \\ x + y = 180 \\ (y - 12) + y = 180 \\ y - 12 + y = 180 \\ y + y = 180 + 12 \\ 2y = 192 \\ y = \frac{192}{2 } \\$

y = 96°

so now, substituting the value of y,

x = ( y - 12 )

x = ( 96 - 12 )

x = 84°

so value of

x = 84°

y = 96°

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a. Since Jamie hikes up the mountain at a rate of 300 ft/hr, and the mountain is 1500 ft high, his distance, d from the peak of the mountain at any given time,t is given by

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