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professor190 [17]
3 years ago
15

Help please i dont wanna pull an all-nighter ill give 20 points i really dont care at this point

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
6 0

Answer:

y = 38, x = 90, x = 10, u = 6.2, w = 52, and v = 7.9

Step-by-step explanation:

Since the triangles are congruent, the angle and side lengths are also congruent. (CPCTC) Therefore, y = 38, x = 90, x = 10, u = 6.2, and v = 7.9. For w, we need to use the sum of angles in a triangle. So, we do 180 - 38 - 90 = w

w = 52.

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Identify the theorem or postulate that is related to the measures of the angles in the pair, and find the unknown angle measures
aleksley [76]

Angles formed when two parallel are intersected by a common transversal include, corresponding, alternate interior and exterior, same-side interior, and vertically opposite angles

The correct option is Same–Side Int. ∠s Thm. m∠1 = 30°, m∠5 = 150°

The reason the selection is correct is as follows:

The given angles are;

m∠1 = (30·x - 30)°. m∠5 = (40·x + 70)°

∠1, and ∠5, are located on the same side of the transversal and are both formed on the interior side of the parallel lines

Therefore, they are same–side interior angles

Same side interior angles theorem states that same side interior angles formed between parallel lines are supplementary

Therefore, we have;

m∠1 + m∠5 = 180°

Which gives;

(30·x - 30)° + (40·x + 70)° = 180°

(70·x + 40)° = 180°

70·x = 180° - 40° = 140°

x = \dfrac{140^{\circ}}{70} = 2^{\circ}

m∠1 = (30·x - 30)° = (30 × 2 - 30)° = 30°

m∠1 = 30°

m∠5 = (40·x + 70)° = (40 × 2 + 70)° = 150°

m∠5 = 150°

The correct option is therefore;

Same-Side Int. ∠s Thm. m∠1 = 30°, m∠5 = 150°

Learn more about parallel lines cut by a transversal here:

brainly.com/question/533025

8 0
2 years ago
Nick made his histogram showing the number of sport caps each of his friends own.
pickupchik [31]

Answer:

A. 7

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Subset of {a b c d e f} needs 64 subsets​
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Answer:

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Step-by-step explanation:

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gavmur [86]

Answer:

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Step-by-step explanation:

3 0
3 years ago
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inna [77]

Answer:

6

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