Answer:
Angle 1 is = 54° ( vertically opposite angles)
Angle 2 is = Angle 1 (corresponding angles are equal)
therefore Angle 2 = 54°
Answer:
x=1/6
Step-by-step explanation:
The steps are in the picture below
M= y2-y1?x2-x1
m=4-(-1)/(-7)-8
m=5/-15
m=-3
The slope is -3
Answer:
A≈9.63
Step-by-step explanation:
Circumference: 11
Using the formulas
A=πr2
C=2πr
Solving forA
A=C2
4π=112
4·π≈9.62887
In the isosceles trapezoid ABCD, draw two perpendiculars AM and BL from A and B to the side CD.
Now, LM = BA = 5 m
CD = CL + LM + MD
= CL + 5 + CL (CL = MD)
= 2CL + 5
But, CD = 11
Therefore, 2CL + 5 = 11
2CL = 11 - 5
= 6
CL = 6/2 = 3m
MD = 3m
Now, consider the right triangle AMD.
We have,

= 
= 16 - 9
= 7
Hence, height of the isosceles trapezoid = AM = 