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3 years ago

What is the radius of f?

Mathematics

1 answer:

Mazyrski [523]3 years ago

8 0

This is a simple right triangle problem.
a^2 + b^2 = c^2

the hypotenuse (or c) is 9 +x
and a is x
And b is 15

So so we sub in the values
x^2 + (15)^2 = (9+x)^2

x^2 + 225 = x^2 + 18x + 81
144 = 18x
8 = x

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Question : In the given figure , ∆ APB and ∆ AQC are equilateral triangles. Prove that PC = BQ.

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Answer:

See Below.

Step-by-step explanation:

We are given that ΔAPB and ΔAQC are equilateral triangles.

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I am having trouble<br> 2(10-13x)=-34x+60

morpeh [17]

<span>Simplifying 2(10 + -13x) = -34x + 60
(10 * 2 + -13x * 2) = -34x + 60
(20 + -26x) = -34x + 60
Reorder the terms: 20 + -26x = 60 + -34x
Solving 20 + -26x = 60 + -34x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '34x' to each side of the equation. 20 + -26x + 34x = 60 + -34x + 34x
Combine like terms: -26x + 34x = 8x 20 + 8x = 60 + -34x + 34x
Combine like terms: -34x + 34x = 0 20 + 8x = 60 + 0 20 + 8x = 60
Add '-20' to each side of the equation. 20 + -20 + 8x = 60 + -20
Combine like terms: 20 + -20 = 0 0 + 8x = 60 + -20 8x = 60 + -20
Combine like terms: 60 + -20 = 40 8x = 40
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Simplifying x = 5</span>

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