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Ksenya-84 [330]
3 years ago
5

PLEASE ANSWER FAST

Mathematics
1 answer:
Dmitrij [34]3 years ago
6 0
Hello there!

The answer to this question will be answer choice A.

When using the SAS postulate, we need two pairs of sides and the pair of the angles between those two sides to be congruent.

It is given that one pair of sides are congruent, along with a pair of congruent angles.

We want the congruent angle to be between two congruent sides, thus AC must be congruent to EC in order for these triangles to be proven congruent by the SAS postulate.

Hope this helps and have an awesome day! :)
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a circle has a center (3,5) and a diameter AB. The coordinates of A are (-4,6). what are the coordinates of B?
Kruka [31]
Find the length of the radius.

r= \sqrt{(3-(-4))^2+(5-6)^2}
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Solve system of equations.
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\\(x-3)^2+(y-5)^2=50
\\
\\x=38-7y
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\\(35-7y)^2+(y-5)^2=50
\\1225-490y+49y^2+y^2-10y+25-50=0
\\50y^2-500y+1200=0
\\y^2-10y+24=0
\\y^2-6y-4y+24=0
\\y(y-6)-4(y-6)=0 \\(y-6)(y-4)=0 \\y_1=6,y_2=4


x_1=38-7y_1=38-7 \times 6 = 38-42=-4
\\x_2=38-7y_2=38-7 \times 4 = 38-28=10


Point B could have coordinates
\\
\\(x_1,y_1)=(-4,6),(x_2,y_2)=(10,4)


But (–4, 6) are the coordinates of point A.
Therefore, point B has coordinates (10,4).
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