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GaryK [48]
3 years ago
14

A right triangle has exterior angles at each of its acute angles with measures in te ratio 13:14. find the measures o the two ac

ute angles of the right triangle.
Mathematics
1 answer:
drek231 [11]3 years ago
5 0
The sum of the exterior angles of all polygon is always equal to 360°. The exterior angle sharing the same side with that of the right angle of the triangle is equal to 90°. If the other exterior angles are 13x and 14x then, they add up to 270°. 

The equation that would allow us to determine the values of the angles are,
                          13x + 14x = 270
                              x = 10
The exterior angles are 130 and 140°. The exterior angle and the interior angle always add up to 180°. 

Interior angle 1:   180° - 130° = 50°
Interior angle 2:    180° - 140° = 40°

Therefore, the measures of the two acute angles of the triangle are 50° and 40°. 
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A patrolman spends 25% every day completing paperwork. The patrolman’s shift each day is 8 hours. How much of his time does he s
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Answer : He spends 2 hours doing paperwork each day.

Hope this helps. - M
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Write an equation in the form of y=mx + b that represents a linear relationship with a slope of 2 and a y-intercept of 7.
podryga [215]

Answer:

y = 2x + 7

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5 0
3 years ago
Write a problem that involves finding the unknown measure of a side of a rectangle include the solution?
tankabanditka [31]
Problem:
 The area of the patio of a relative's house is 20 square meters.
 The width of the patio is 2 meters.
 What is the length of the patio?
 Solution:
 
The area is:
 A = (w) * (l)
 Where,
 w: width
 l: long
 Clearing l we have:
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7 0
3 years ago
Arbara signed up for dance lessons at Dance Unlimited. She was charged $55 per month for lessons and a one-time recital fee of $
kramer

Given:

Per month fee = $55

One-time recital fee = $165

The equation represents the $495 total cost that Barbara paid to Dance Unlimited.

495=165+55m

To find:

We need to find the number of month Barbara receive dance lessons from Dance Unlimited.

Solution:

We have,

495=165+55m

Here, m is number of months. We need to isolate m.

Subtract 165 from both sides.

495-165=55m

330=55m

Divide both sides by 55.

\dfrac{330}{55}=m

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The value of m is 6. So, the required number of month Barbara receive dance lessons from Dance Unlimited is 6.

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