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GuDViN [60]
3 years ago
8

How to find x and y using the triangle sum theorem

Mathematics
1 answer:
timurjin [86]3 years ago
7 0
Notice that x is part of the two triangles.for the bigger triangle
92+85+x=180
177+x=180
x=3
in the smaller triangle
y+100+x=180
since x=3
y+100+3=180
y=77
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ANSWER

( {x - 11)}^{2}  + ( {y - 5)}^{2}  = 16

EXPLANATION

The given circle has center:

(11,5)

and

radius: 4

The equation of a circle with center (h,k) and radius , r is given in standard form as;

( {x - h)}^{2}  + ( {y - k)}^{2}  =  {r}^{2}

We substitute the values into the formula to obtain,

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