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Nastasia [14]
3 years ago
12

Which of the following terms best describes the relationship between /W and /X ( Answer as soon as possible please)

Mathematics
1 answer:
earnstyle [38]3 years ago
4 0

Answer:

B. Same-side interior angles

Step-by-step explanation:

Angle w and angle x lie on the same side of the transversal that cut across the two parallel lines, and are also within the two parallel lines. They are therefore regarded as same-side interior angles. Same-side interior angles are supplementary.

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Which equation does not belong with the other three? Explain your reasoning.
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3 years ago
The measures of two angles of pairs of triangles are given. Which pairs of triangles are similar?
morpeh [17]

If the triangles are similar then the angles in both are equal. Let's look at each set individually:

(1) Triangle 1: 25°, 35°
Triangle 2: 25°, 120°
Now it may be hard to tell if the triangles are similar at the moment so we must calculate the third angle in each triangle (The angles in a triangle add up to 180°, therefor the missing angle = 180 - (given angle 1 + given angle 2)
Triangle 1: 180 - (25 + 35) = 120°
Triangle 2: 180 - (25 + 120) = 35°

Now writing out the set of angles again we have:
Triangle 1: 25°, 35°, 120°
Triangle 2: 25°, 120°, 35°

So in fact Triangle 1 and 2 are similar.

Now we can repeat this process for (2) - (5):

(2) Triangle 1: 100°, 60°, 20°
Triangle 2: 100°, 20°, 60°
This pair is also similar

(3) Triangle 1: 90°, 45°, 45°
Triangle 2: 45°, 40°, 95°
This pair is not similar

(4) Triangle 1: 37°, 63°, 80°
Triangle 2: 63°, 107°, 10°
This pair is not similar

(5) Triangle 1: 90°, 20°, 70°
Triangle 2: 20°, 90°, 70°
This pair is similar

Therefor pairs (1), (2) and (5) are similar
6 0
2 years ago
Read 2 more answers
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