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Gala2k [10]
3 years ago
7

QR and QP are midsegments of triangle ABC. What is the length of QP?

Mathematics
1 answer:
LekaFEV [45]3 years ago
7 0

Answer: 33

Step-by-step explanation:

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9514 1404 393

Answer:

  109°

Step-by-step explanation:

You always start a problem by taking a careful look at the information given and how it relates to what is asked. Here, the key information is in the symbols marking the lines PQ and RS. They are parallel.

This means segments QR and PS are transversals. Marked angle 41° will be an "alternate interior angle" with angle TPQ, so angle TPQ is also 41°.

The desired angle, PTR, is an exterior angle to ΔQTP, so its measure is the sum of remote interior angles TQP (68°) and TPQ (41°). That is, ...

  ∠PTR = ∠TQP +∠TPQ = 68° +41°

  ∠PTR = 109°

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2 years ago
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Rom4ik [11]

If Alaska were divided into 10 equal pieces, then that means Florida would be the same size as one of those pieces. So write the equation 1,700.000 * \frac{1}{10}.

This is equal to \frac{1,700,000}{10}.

Now, when you divide a number by 10, the original number becomes one place value less. For instance, 2 ÷ 10 = 0.2.

We can see that 1,700,000 has 5 zeroes, so if you divide it by 10, the this means Florida is 170,000 sq km.

Hope this helped. :D

5 0
3 years ago
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