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iogann1982 [59]
3 years ago
14

Ramona is counting the posts between mile markers on the highway. In 1 mile, she counts 33 posts if the posts are evenly spaced,

how many feet apart are they?
(1 mile = 5,280 feet)
answer the question
Mathematics
2 answers:
alexandr1967 [171]3 years ago
7 0
They are160 ft apart
AlexFokin [52]3 years ago
3 0

Answer:

The answer is: The posts are 160 feet apart.

Step-by-step explanation:

Ramona is counting the posts between mile markers on the highway.

1 mile = 5,280 feet

Its given that in 1 mile or 5280 feet there are 33 posts.

If posts are evenly spaced, then they are \frac{5280}{33}= 160 feet apart.

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Answer:

x° = 149°

Step-by-step explanation:

According to the <u>Triangle Sum Theorem</u>, the sum of the measures of the angles in every triangle is 180°. Since we are given two angles with measures of m < 86° and m < 63°, then the third angle must be:

m < 86° + m < 63° + m < (angle 3) = 180°

149° + m < ? = 180°

Subtract 149° from both sides to solve for m < (angle 3)

149° - 149° + m < (angle 3)   = 180° - 149°

m < ?   = 31°

Therefore, the measure of the third angle is 31°.

To find x°, we can reference the <u>Triangle Exterior Angle Postulate</u>, which states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.

In other words, the measure of x° = m < 86° + m < 63°

x° = 149°

By the way, m< (angle 3) and x° are also supplementary angles whose sum equal 180°:

x° + m < (angle 3) = 180°

149° +  31° = 180°

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