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8090 [49]
3 years ago
8

I need to Find the value of x

Mathematics
1 answer:
Alenkinab [10]3 years ago
5 0
So, the sum of a triangle's angles should be 180°. the 2 angles are 60°, and if you add them up, it's 120°. 180° - 120° = 60°. the angle LMN is 60°. if a triangle has all three equal angles, that means it's a equilateral triangle. an equilateral triangle is a triangle with all equal angles, and sides. side LN is 16, so the rest should be 16. so the x is 16.
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BaLLatris [955]

D)(x+10)^2+(y+4)^2=5^2=25

Explanation

Step 1

We know that the general equation for a circle is

\begin{gathered} (x-h)^2+(y-k)^2=r^2 \\  \end{gathered}

where

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and r is the radius

then, all we need to do is replace

Let

\begin{gathered} \text{center}\Rightarrow(h,k)\Rightarrow(-10,-4) \\ \text{radius}\Rightarrow r\Rightarrow5 \end{gathered}

replace the values

\begin{gathered} (x-h)^2+(y-k)^2=r^2 \\ (x-(-10))^2+(y-(-4))^2=5^2 \\ (x+10)^2+(y+4)^2=5^2=25 \end{gathered}

therefore, the answer is

D)(x+10)^2+(y+4)^2=5^2=25

I hope this helps you

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Step-by-step explanation:

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