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Jet001 [13]
3 years ago
5

If m 24 is 53°, what is the m26?

Mathematics
1 answer:
hodyreva [135]3 years ago
4 0

Answer:

m∠8 = 49°

Step-by-step explanation:

∠7 and ∠8 are same-side interior angles.

Remember, same-side interior angles are supplementary. This means that the sum of the angles is 180°.

Let's use the variable 'x' to represent the unknown measure of angle ∠8.

131 +x=180

131-131=0 (cancels itself out)

180-131=49

x=49

Therefore, the measure of ∠8 is 49°.

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4 years ago
Points P and Q belong to segment AB . If AB = a, AP = 2PQ = 2QB, find the distance: midpoints between AP QB
Digiron [165]

Answer: The distace between midpoints of AP and QB is \frac{a}{8}.

Step-by-step explanation: Points P and Q are between points A and B and the segment AB measures a, then:

AP + PQ + QB = a

According to the question, AP = 2 PQ = 2QB, so:

PQ = \frac{AP}{2}

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Substituing:

AP + 2*(\frac{AP}{2}) = a

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Since the distance is between midpoints of AP and QB:

2QB = AP

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QB = \frac{a}{4}

MIdpoint is the point that divides the segment in half, so:

<u>Midpoint of AP</u>:

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The distance is:

d = \frac{a}{4} - \frac{a}{8}

d = \frac{a}{8}

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3 years ago
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