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Vikki [24]
3 years ago
8

The measure of angle X is 18 more than three times the measure of its complement. Find the measure of angle X. 

Mathematics
1 answer:
Ymorist [56]3 years ago
6 0
The complement of an angle is 90 minus the angle, or

90 - x = complement angle

if x is 18 more than 3 times it's complement, then

x = 3(complement angle) + 18

We can substitute "90 - x" for the "complement angle" in the second equation:

x = 3(90 - x) + 18

distribute the 3 to the 90 and the x

x = 270 - 3x + 18 

add 3x to both sides

4x = 270 - 18
4x = 252
x = 63

the measure of angle x is 63 degrees
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<h3>What is Standard form of circle?</h3>

To transform general form to a standard form, you can use completing the square method or you can convert this equation

x² + y² + Dx + Ey + F = 0 to x² + y² + (-2h)x + (-2k)y + (h²+k²-r²) = 0

Here, Given: x² + y² + 42x + 38y − 47 = 0

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On comparing we get,

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Thus, the Standard form of the equation of circle is (x+21)² + (y+19)² = 849

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2 years ago
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