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We have to prove that Quadrilateral ABCD is a parallelogram.
The third step is m AEB = mCED
As ABCD is a quadrilateral, the point of intersection of diagonals being E.
In the first step while proving it is written that Diagonals bisect each other i.e
AE = EC and BE= ED
After drawing the quadrilateral it is being found that ∠AEB and ∠CED are vertically opposite angles.
Out of the given five options option (D) is the correct option. which is vertical angles theorem.
vertical angle theorem states that if two lines intersect at a point ,then their vertically opposite angles are equal.
Answer:
y = 130
Step-by-step explanation:
(4x+8) + (3x-19) + (x+7) = 180
4x + 8 + 3x - 19 + x + 7 = 180
(4x + 3x + x) + (8 -19 + 7) = 180
8x - 4 = 180
8x -4 +4 = 180 +4
8x = 184
8x/8 = 184/8
x = 23
3(23) - 19 = 50
50 + y = 180
180 - 50 = y
y = 130
M/_XYZ is 50°, if you need to copy and paste the degrees symbol, here it is: °
Answer:
105
Step-by-step explanation:
f(x) = 8x² + x -9
g(x) =5x²
(f+g)(x) = 8x² + x - 9 + 5x²
Collect like terms
8x² +5x² + x - 9
13x² + x - 9
b) (f+g)(-3) = 13x² + x - 9 when x =-3
= 13×-3² + (-3) - 9
= (13×9) -3 -9
= 117 -3 -9
= 105
I hope this was helpful, please mark as brainliest