Number 8 solve for x

Mathematics

2 answers:

Ganezh [65]3 years ago

6 0

Answer:

Notice how there is a dash bisecting every line of this triangle. Also keep in mind that the interior angles of any triangle add up to 180°. BEcause there is a dash on each line it is using SSS criterion and showing us that all the side lengths are the same length.

Therefore this is an equilateral triangle. The angles and side lengths of an equilateral triangle are the sane. Therefore every angle in this triangle will be 60°. IN support of this, the 3 angles of 60° add up to 180 meaning this is a valid answer.

So if the m<2=x+69, to get 60 (the measure of all angles) x has to be -9

-9=x

Step-by-step explanation:

dalvyx [7]3 years ago

5 0

Answer:

Step-by-step explanation:

Since equalateral all angles are 60. 60 - 69 = -9.

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A circle has the center of (1,-5) and a radius of 5 determine the location of the point (4,-1)

Sliva [168]

"determine the location" or namely, is it inside the circle, outside the circle, or right ON the circle?

well, we know the center is at (1,-5) and it has a radius of 5, so the distance from the center to any point on the circle will just be 5, now if (4,-1) is less than that away, is inside, if more than that is outiside and if it's exactly 5 is right ON the circle.

well, we can check by simply getting the distance from the center to the point (4,-1).

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ \stackrel{center}{(\stackrel{x_1}{1}~,~\stackrel{y_1}{-5})}\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d = \sqrt{[4-1]^2+[-1-(-5)]^2}\implies d=\sqrt{(4-1)^2+(-1+5)^2} \\\\\\ d = \sqrt{3^2+4^2}\implies d =\sqrt{9+16}\implies d=\sqrt{25}\implies \stackrel{\textit{right on the circle}}{d = 5}$