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Fittoniya [83]
3 years ago
14

Two lines intersect in a plane in form for angles what are the angles formed fathers intersect is a 53° angle what are the measu

res of the other three angles explain your answer
Mathematics
1 answer:
DedPeter [7]3 years ago
6 0

Answer:

53°, 127°, 127°

Step-by-step explanation:

<u>Two intersecting lines form two pairs of angles:</u>

  • Pair of vertical angles. They are opposite to each other and are equal
  • Pair of adjacent angles which are supplementary angles and their sum is  180°

<u>So if one of the angles is measured 53°, then the other angles are:</u>

  • 53°- vertical angle with the first one
  • 180° - 53° = 127°
  • 180° - 53° = 127°
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This problem is an example of solving equations with variables on both sides. To solve, we must first set up an equation for both the red balloon and the blue balloon. 

Since the red balloon rises at 2.6 meters per second, we can represent this part of the equation as 2.6s. The balloon is already 7.3 meters off of the ground, so we just add the 7.3 to the 2.6s: 

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Since the blue balloon rises at 1.5 meters per second, we can represent this part of the equation as 1.5s. The balloon is already 12.4 meters off of the ground, so we just add the 12.4 to the 1.5:

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After 4.63 seconds, the balloons will have reached the same height: 19.33 meters.
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