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Anarel [89]
3 years ago
7

QR is tangent to circle P at point Q.

Mathematics
2 answers:
alexgriva [62]3 years ago
7 0

Answer:

37

Step-by-step explanation:

Phoenix [80]3 years ago
4 0

Answer:

A. 37 degrees

Step-by-step explanation:

Since QR is tangent to the circle, it means that is in a right angle. Meaning that angle Q is equal to 90 degrees.

Since you know what two angles are equal to, you can use the triangle angle sum theorem by setting them all up to 180.

53+90+x=180

Simplify the answer

143+x=180

Subtract 143 from both sides

X=37

:

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Answer:

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Step-by-step explanation:

We want to simplify the radical expression:

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We write √6 as √(2*3).

This implies that:

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We now split the radical for √(2*3) to get:

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We obtain a perfect square at the far right.

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This gives us:

4 \sqrt{6}  \times  \sqrt{3}  = 4 \times 3 \sqrt{2}

and finally, we have:

4 \sqrt{6}  \times  \sqrt{3}  = 12 \sqrt{2}

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