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lara31 [8.8K]
3 years ago
9

Help pls!! Solve for x

Mathematics
1 answer:
kati45 [8]3 years ago
5 0

Answer:

x= 42.5

Step-by-step explanation:

<AOB = 180°

Then <ACB = 180/2 = 90° (The angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle)

90 = 2x + 5

90-5 = 2x

85/2 =x

x= 42.5

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Answer: Choice B) {3, 5, sqrt(34)}

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Explanation:

We can only have a right triangle if and only if a^2+b^2 = c^2 is a true equation. The 'c' is the longest side, aka hypotenuse. The legs 'a' and 'b' can be in any order you want.

-----------

For choice A,

a = 2

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c = sqrt(10)

So,

a^2+b^2 = 2^2+3^2 = 4+9 = 13

but

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-----------

Checking choice B

a = 3

b = 5

c = sqrt(34)

Square each equation

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We can see that

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which is exactly equal to c^2 above. This confirms the answer.

-----------

Let's check choice C

a = 5, b = 8, c = 12

a^2 = 25, b^2 = 64, c^2 = 144

So,

a^2+b^2 = c^2

25+64 = 144

89 = 144

which is a false equation allowing us to cross choice C off the list.

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