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Alina [70]
3 years ago
6

B

Mathematics
1 answer:
qwelly [4]3 years ago
3 0

Answer:

B

5

E

4

Points A, B, and Cform a triangle. Complete the statements to prove that the sum of the interior angles of AABC is 180°.

Statement

Reason

Points A, B, and C form a triangle.

given

Let DE be a line passing through B and parallel to AC. definition of parallel lines

23 – 25 and 21 - 24

m21 = m 24 and 23 = m25

m24+ m2 2 + 25 = 180°

mZ1 + Z2 + m23 = 180°

angle addition and definition of a straight line

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What are the X and Y intercepts of y= -2(x-4)2 +3
kari74 [83]

Answer: x-intercepts are ( 2.775,0) and (5.225,0)

And y-intercept is (0,-29)

Step-by-step explanation:

Here the given equation is,

y = -2(x-4)^2+3

For x-intercept, y = 0,

Put y = 0 in the above equation of parabola,

We get, -2(x-4)^2 + 3 = 0

-2(x^2+16+8x) + 3 = 0

-2x^2-32-16x + 3 = 0

-2x^2-16x -29 = 0

By solving this equation,

We get, x = 2.775 or x = 5.225

Therefore, x-intercept of the given parabola are (2.775, 0) and (5.225,0)

Now, for y-intercept, x = 0

By putting x = 0 in the given equation of parabola,

We get, y = -29

Thus, y-intercept of the given parabola = (0,-29)



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