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pentagon [3]
2 years ago
12

Given: ∠T ≅ ∠V; ST || UV

Mathematics
1 answer:
Allushta [10]2 years ago
5 0

We have proven that line TU is parallel to line VW as shown below. That is, TU || VW

<h3>Proof of angles </h3>

From the question, we are to prove that TU || VW

In the given image,

   Statements           Reasons

1. ST || UV                  Given

2. ∠T ≅ ∠U                Alternate angles

3. ∠T ≅ ∠V                Given

4. ∠U≅ ∠V                 Substitution property

5. TU || VW                 Alternate interior angles theorem

NOTE: If the alternate interior angles formed by a transversal of two lines are equal, then the lines are parallel

Hence, we have proven that line TU is parallel to line VW. That is, TU || VW

Learn more on Proof of angles here: brainly.com/question/2141319

#SPJ1

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Answer:

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Step-by-step explanation:

What this question is actually telling us is that the gas station divides the segment from George’s home to Tina’s house in the ratio 3 to 7; we now want to find the coordinates of Tina’s house which is the end of the line segment.

Mathematically, to get this division, we would have employed the use of the internal division formula;

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(3y + 21)/10 = 9

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