One year membership cost $538. There is an initial sign up fee of $35. Write an equation you can use to find out how much you pa
1 answer:
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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.
We are given
Firstly, we simplify left side
Left side is
we will make all x terms together
and y terms together
we can multiply left side by using exponent rule
now, we can set them equal
Since, both sides have x,y and 8
and both are equal
so, their exponent must be equal
so, exponent of y must also be equal
we get
................Answer
Quotient is:
Remainder: 0
Answer and workings in the attachment below.
Remainder: 0
Answer and workings in the attachment below.