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vladimir2022 [97]
4 years ago
14

Find the measure of angle W in the attached diagram and explain how you found it. Please provide diagram with an explanation if

possible.

Mathematics
2 answers:
Alenkinab [10]4 years ago
7 0

Answer:

Angle w = 76°

Step-by-step explanation:

To solve this problem we will complete the diagram first like the figure attached then find the measurement of w.

In the attached figure there are two parallel lines AB and CD.Two lines BC and AD are two transverse lines bisecting these parallel lines.

∠ABC = 35°, ∠ADC = 41°

From the figure attached ∠ADC = ∠BAD = 41° (Alternate angles)

Now we know sum of all angles of ΔAOB = 180°

Or ∠OAB +∠ABO +∠AOB = 180°

⇒ 41°+35°+∠AOB = 180°

⇒ ∠AOB = 180°-76° = 104°

And we know on line AD, ∠AOB+∠BOD = 180°

⇒ 104 + w = 180°

⇒ w = 180-104 = 76°

⇒ w = 76°

kolezko [41]4 years ago
4 0

Answer:

The measure of angle w is 76°

Step-by-step explanation:

Please, see the attached file.

Thanks.

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What is 3x^2-3x+2 divided by x+2
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For this case, we must build a quotient that, when multiplied by the divisor, eliminates the terms of the dividend until it reaches the remainder. In this case we have to:

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4 years ago
The table displays the scores of students on a recent exam. Find the mean of the scores to the nearest 10th.
Viktor [21]

The mean of the scores to the nearest 10th digit will be 74.9.

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Then the mean is given as,

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How do I get to the answer of this question?
Elena L [17]

Triangle Similarity

We will use the SAS theorem to prove that Triangle TSG and Triangle PHG are similar.

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To use this theorem, we need to prove:

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In triangle TSG, the longest side has a length of 7.5 + 5 = 12.5 feet

In triangle PHG, the longest (and therefore corresponding) side has a length of 5 feet.

The ratio between them is 12.5 / 5 = 2.5

In triangle TSG, the horizontal length is 4.5 + 3 = 7.5 feet

In triangle PHG, the horizontal (and therefore corresponding) side has a length of 3 feet.

The ratio between them is 7.5 / 3 = 2.5

Since the ratio measured on both corresponding sides is the same, we have satisfied the first condition of the SAS theorem.

The included angle is G, and it's the same for both triangles.

The reflexive property guarantees both triangles have congruent corresponding angles:

Angle G is congruent with (itself) Angle G

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2 years ago
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