Answer:
The answer is given below
Step-by-step explanation:
From the diagram below,Let the line AB and CD be parallel line. Let transversal line EF cut AB at Y and transversal line EF cut CD at Z.
The bisector of ∠BYZ and ∠DZY meet at O. Therefore ∠YZO = ∠DZY/2 and ∠ZYO = ∠BYZ/2
∠BYZ and ∠DZY are interior angles.
∠BYZ + ∠DZY = 180 (sum of consecutive interior angles)
∠BYZ/2 + ∠DZY/2 = 180/2
∠BYZ/2 + ∠DZY/2 = 90°
In ΔOYZ:
∠YZO + ∠ZYO + ∠YOZ = 180 (sum of angles on a straight line).
But ∠YZO = ∠DZY/2 and ∠ZYO = ∠BYZ/2
∠DZY/2 + ∠BYZ/2 + ∠YOZ = 180
90 + ∠YOZ = 180
∠YOZ = 180 - 90
∠YOZ = 90°
Therefore Angle bisectors of the same side interior angles are perpendicular.
Answer:
1134
Step-by-step explanation:
Formula for diameter=2 x r
(π is 3.14)
Formula for area= π x r^2
So all you basically have to do is go backwords with the first one then plug the radius into the second one normally
38/2=19
Now just plug it into your second equation
π x 19^2=1134.11494795
And lastly round that to 1134, easy! :)
Answer:
Hey THERE
x=5+√58 or x=5−√58 is the answer
Step-by-step explanation:
x2−10x−5=28
Answer:
-26
Step-by-step explanation:
9+33-6
calculate the sum of the positive numbers
42-6
subtract the numbers
36 divided by 6-32
6-32
-26
Answer: c = 8
Step-by-step explanation:
Simplifying
9c + -3c = 48
Combine like terms: 9c + -3c = 6c
6c = 48
Solving
6c = 48
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Divide each side by '6'.
c = 8
Simplifying
c = 8
