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zmey [24]
3 years ago
9

Plz help w/ Geometry!!! Will give Brainliest!!!

Mathematics
1 answer:
e-lub [12.9K]3 years ago
7 0

Answer:

\large\boxed{b.\ 1cm\xrightarrow{\ \ \ \ \ \ \ \ }8\ mi}

Step-by-step explanation:

6.5\ cm\xrightarrow{\ \ \ \ \ \ \ \ }52\ mi\qquad\text{divide both sides by}\ 6.5\\\\\dfrac{6.5}{6.5}\ cm\xrightarrow{\ \ \ \ \ \ \ \ }\dfrac{52}{6.5}\ mi\\\\1cm\xrightarrow{\ \ \ \ \ \ \ \ }8\ mi

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In △PKQ, PK = KQ = 12, m∠P = 35º. Find PQ.
Neporo4naja [7]

The length of PQ is 19.66 units

Step-by-step explanation:

The given is:

1. PK = KQ = 12

2. m∠P = 35º

We need to find the length pf PQ

∵ PK = KQ

∴ m∠P = m∠Q

∵ m∠P = 35°

∴ m∠Q = 35°

The sum of measures of the angles of a triangle is 180°

∴ m∠P + m∠Q + m∠K = 180°

∴ 35 + 35 + m∠K = 180

∴ 70 + m∠K = 180

- Subtract 70 from both sides

∴ m∠K = 110°

Let us use cosine rule to find the length of PQ

∵ PQ = \sqrt{(KP)^{2}+(KQ)^{2}-2(KP)(KQ)cos(K)}

∵ PK = 12 , KQ = 12 , m∠K = 110°

- Substitute these values in the rule

∴ PQ = \sqrt{(12)^{2}+(12)^{2}-2(12)(12)cos(110)}

∴ PQ = 19.66

The length of PQ is 19.66 units

Learn more:

You can learn more about triangle in brainly.com/question/12985572

#LearnwithBrainly

4 0
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Plz help I'll give brainliest
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