A movie is 1 7/8 hours long. After 45 minutes, how much of the movie is left?
2 answers:
<h2>Answer:</h2>
The movie will be left for:
67.5 minutes
<h2>Step-by-step explanation:</h2>It is given that:
A movie is 1 7/8 hours long.
i.e.
A movie is: 15/8 hours long.
( Since,
which is nothing but 112.5 minutes )
Now, the amount of movie which will be left over is:
Total time of the movie- 45 minutes
= 112.5-45
= 67.5 minutes
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Using the triangle sum theorem and the alternate interior angles theorem, the measure of ∠TUV is: 78°
<h3>What is the Triangle Sum Theorem?</h3>In any triangle, all three angles have a sum of 180 degrees, based on the triangle sum theorem.
<h3>What is the Alternate Interior Angles Theorem?</h3>The alternate interior angles theorem states that if two interior angles lie alternate to each other, both angles have the same measure.
Given the following:
- m∠SRV = 48°
- m∠SVR = 54°
Find m∠RSV using the triangle sum theorem:
m∠RSV = 180 - (m∠SRV + m∠SVR)
m∠RSV = 180 - (48 + 54)
m∠RSV = 78°
∠RSV and ∠TUV are alternate interior angles, therefore:
m∠RSV = m∠TUV = 78° [alternate interior angles theorem]
Learn more about the triangle sum theorem on:
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