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xxTIMURxx [149]
3 years ago
6

11. You are asked to put a V-shaped roof on a house. The slope of the roof is 53°. What is the measure of the angle needed at th

e vertex of the roof? (Hint: You are given the base angles, and you need to find the vertex angle.)
Mathematics
2 answers:
pochemuha3 years ago
7 0
X=missing angle

53(2)+x=180

106+x=180

180-106= 74

The vertex angle is 74. 
Anestetic [448]3 years ago
4 0
The question said that it told you the base angles. A roof would have two equal base angles. The base angles= 53

All the angles of a triangle each 180, (the roof is shaped like a triangle)

So, let's make x the missing angle.

53(2)+x=180

106+x=180

Subtract 106 on both sides.

180-106= 74

The vertex angle is 74.

I hope this helps!
~cupcake
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Answer:

  2 hours, 150 miles

Step-by-step explanation:

The relation between time, speed, and distance can be used to solve this problem. It can work well to consider just the distance between the drivers, and the speed at which that is changing.

<h3>Separation distance</h3>

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<h3>Closure speed</h3>

Jason is driving 10 mph faster than Britton, so is closing the initial separation gap at that rate.

<h3>Closure time</h3>

The relevant relation is ...

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Then the time it takes to reduce the separation distance to zero is ...

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Britton will catch up to Jason after 2 hours. In that time, Britton will have driven (2 h)(75 mi/h) = 150 miles.

__

<em>Additional comment</em>

The attached graph shows the distance driven as a function of time from when Britton started. The distances will be equal after 2 hours, meaning the drivers are in the same place, 150 miles from their starting spot.

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Read 2 more answers
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