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ahrayia [7]
3 years ago
8

A central angle measuring 150° intercepts an arc in a circle whose radius is 6. What is the area of the sector of the circle for

med by this central angle? 15π 24π 30π 36π
Mathematics
1 answer:
katovenus [111]3 years ago
4 0

Answer: 15

Step-by-step explanation: its 15

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The question is in the picture please help
ahrayia [7]

Answer:

Claim 2

Step-by-step explanation:

The Inscribed Angle Theorem* tells you ...

... ∠RPQ = 1/2·∠ROQ

The multiplication property of equality tells you that multiplying both sides of this equation by 2 does not change the equality relationship.

... 2·∠RPQ = ∠ROQ

The symmetric property of equality says you can rearrange this to ...

... ∠ROQ = 2·∠RPQ . . . . the measure of ∠ROQ is twice the measure of ∠RPQ

_____

* You can prove the Inscribed Angle Theorem by drawing diameter POX and considering the relationship of angles XOQ and OPQ. The same consideration should be applied to angles XOR and OPR. In each case, you find the former is twice the latter, so the sum of angles XOR and XOQ will be twice the sum of angles OPR and OPQ. That is, angle ROQ is twice angle RPQ.

You can get to the required relationship by considering the sum of angles in a triangle and the sum of linear angles. As a shortcut, you can use the fact that an external angle is the sum of opposite internal angles of a triangle. Of course, triangles OPQ and OPR are both isosceles.

4 0
3 years ago
1. Given f (x) = -2x + 1, find f(-1)
AleksandrR [38]

Answer:

3

Step-by-step explanation:

plug in (-1) for x

-2(-1) + 1

2 + 1

3

4 0
2 years ago
Read 2 more answers
Which expression forms an equation with the given expression 14 + 2 • 12 ÷ 3 = ___________
Talja [164]
14+2*12/3=
14+24/3=
14+8=
22
8 0
2 years ago
What is the value of the expression- -14+8-12
mojhsa [17]
-14+8=-6. -6-12=-18 ....................
7 0
2 years ago
Megan Hikes 15.12 mi in 6.3 hours. If Megan hike the same number of miles each hour, how many miles did she hike each hour.
rodikova [14]

Answer:

The answer is 2.4 Miles per hour  

Step-by-step explanation:

15.12 divided by 6.3= 2.4 MPH

6 0
3 years ago
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