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alexdok [17]
3 years ago
13

Can someone please explain this to me? I don't get it​

Mathematics
2 answers:
alina1380 [7]3 years ago
8 0
A straight line is equal to 180, anything going all around is 360 if the angles are crossing eachother then the angles across from eachother are equal so x=z
X+150=180, Im not good at explaining sorry, but i know what I’m doing yk just lmk sorry if it didn’t help
Mumz [18]3 years ago
5 0
X + 105° = 180° they are supplementary
180°-z = y bc z+y is a straight line, equaling 180°
x=z they are vertical angles
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A(5 1) b(1 5) and c(-3 -1) are the vertices of triangle abc. find the LENGTH of median ad
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\text{Length of median AD}=\sqrt{37}

Step-by-step explanation:

We are given the vertices of triangle ABC. We need to find the length of median AD.

Please see the attachment for figure.

D is mid point of BC because median bisect the opposite side of triangle.

Using the formula of mid point. we get coodrinate of D

\text{Mid Point :}\left ( \frac{x_1+x_2}{2},\frac{y_1+y_2}{2} \right )

D is mid point of B(1,5) and C(-3,-1)

\therefore D \left ( \frac{1-3}{2},\frac{5-1}{2} \right )\Rightarrow (-1,2)

AD is median of triangle ABC. Now we find length of median AD using distance formula of two coordinate.

\text{Distance }=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

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AD=\sqrt{(5+1)^2+(1-2)^2}\Rightarrow \sqrt{36+1}

\text{Length of median AD}=\sqrt{37}

Thus, \text{Length of median AD}=\sqrt{37}

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