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ch4aika [34]
3 years ago
9

What kind of triangle has three angles of measure 83 degrees, 31 degrees and 66 degrees?

Mathematics
2 answers:
attashe74 [19]3 years ago
8 0
The answer is an acute triangle since all three angles are less than 90
andreyandreev [35.5K]3 years ago
5 0

Hi!

An obtuse angle is one greater than 90 degrees, a right angle one that is 90, and acute less than 90.

An obtuse triangle is one with one obtuse angle, all the rest being acute. A right triangle is one with one right angle, all the rest acute. And finally, an acute triangle is one with three acute angles.

In this case, the angles measure 83 degrees, 31 degrees, and 66 degrees. All of them are acute angles, as they're all less than 90 degrees.

Therefore, the triangle is an acute triangle.

Hope this helped!

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Courtney walked from her house to the beach at a constant speed of 4 kilometers per hour, and then walked
RUDIKE [14]

<em><u>The system of equations that represents this situation are:</u></em>

q + p = 2

4q + 5p = 8

<em><u>Solution:</u></em>

Let  q be the number of hours it took Courtney to walk from her house to the beach

Let p be the number of hours it took her to walk from the beach to the park

<em><u>The entire walk took 2 hours</u></em>

Therefore,

q + p = 2 ------- eqn 1

<em><u>The  total distance Courtney walked was 8 kilometers</u></em>

Total distance = 8 km

Courtney walked from her house to the beach at a constant speed of 4 kilometers per hour

Then walked  from the beach to the park at a constant speed of 5 kilometers per hour

<em><u>Distance is given as:</u></em>

distance = speed \times time

<em><u>From her house to the beach:</u></em>

distance = 4 \times q = 4q

<em><u>From the beach to the park:</u></em>

distance = 5 \times p = 5p

We know that,

Total distance = 8 km

Therefore,

4q + 5p = 8 ------ eqn 2

<em><u>Thus the system of equations that represents this situation are:</u></em>

q + p = 2

4q + 5p = 8

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