Answer:
Step-by-step explanation:
Given: MN ≅ MA
ME ≅ MR
Prove: ∠E ≅ ∠R
From the given diagram,
YN ≅ YA
EY ≅ RY
<EMA = <RMN (right angle property)
EA = EY + YA (addition property of a line)
NR = YN + RY (addition property of a line)
EA ≅ NR (congruent property)
ΔEMA ≅ ΔRMN (Side-Side-Side, SSS, congruence property)
<MNR ≅ MAE (angle property of congruent triangles)
Therefore,
<E ≅ <R (angle property of congruent triangles)
<h3>
Answer: x = 9</h3>
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The diagram shows:
Recall that the area of a parallelogram is equal to the base times height
area = base*height
We're told that the area is 117 square units, so that means 13x = 117.
Divide both sides by 13 to isolate x
13x = 117
13x/13 = 117/13
x = 9
The height of the parallelogram is 9
Note how:
area = base*height = 13*x = 13*9 = 117
which helps confirm we have the correct height value for x.
As its one significant figure you are looking at the first number and the second number. If the second number is greater than 5 then you round the first number up and vice versa. In this case there is an eight, which is bigger than 5 obviously so you round the first number to get 40000.