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2 years ago

Need help with this one

Mathematics

1 answer:

Anna007 [38]2 years ago

4 0

Answer:

(d) 42°

Step-by-step explanation:

An angle bisector divides an angle into two equal parts. The original angle has double the measure of either of the parts.

<h3>setup</h3>

∠VSU = 2×∠VST

9x +3 = 2×(5x -3) . . . . . . . substitute given expressions

<h3>solution</h3>

9x +3 = 10x -6 . . . . . . eliminate parentheses

9 = x . . . . . . . add 6-9x

∠VST = 5(9) -3 = 42 . . . . degrees

m∠VST = 42°

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vlabodo [156]

Answer:

$(x+5)^2+(y+8)^2=6217$

Step-by-step explanation:

Hi there!

Equation of a circle: $(x-h)^2+(y-k)^2=r^2$ where the circle is centered at (h,k) and r is the radius

<u>1) Plug the center of the circle into the equation</u>

Center: (-5,-8)

$(x-h)^2+(y-k)^2=r^2\\(x-(-5))^2+(y-(-8))^2=r^2\\(x+5)^2+(y+8)^2=r^2$

<u>2) Determine r²</u>

Plug in the given point (16,68)

$(x+5)^2+(y+8)^2=r^2\\(16+5)^2+(68+8)^2=r^2\\(21)^2+(76)^2=r^2\\441+5776=r^2\\6217=r^2$

Therefore, r² is equal to 6217. Plug this back into $(x+5)^2+(y+8)^2=r^2$ :

$(x+5)^2+(y+8)^2=6217$

I hope this helps!

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