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)
The ordered pair (7,2) is viable and Option B is the correct answer.
<h3>What is Relationship ?</h3>
Relationship between variables defines the way one variable is dependent upon the other variable.
It is given that x is the number of visitors and y is the number of winners,
It has to be seen and chosen that which ordered pair makes sense
The ordered pair is viable if the no. of visitor is positive and more than the number of winners.
Therefore ordered pair (7,2) is viable and Option B is the correct answer.
To know more about Relationship
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Answer: The trick to this question is twofold:
Spot that 94 is double 47. Therefore when going downstream, the speed of the boat relative to the earth is double it's speed going upstream as it covers double the distance in the same time.
Understand that whatever the speed of the boat is, when going downstream it's speed relative to the earth is 6mph greater than speed relative to the water, and conversely when going upstream, earth speed is 6mph less than water speed.
So, if the speed through the water is X, upstream speed is (X-6) and downstream speed is (X+6).
Now, we know that upstream speed is double downstream speed, so:
Double (x-6) is equal to (X+6)
Or:
2(x-6)=(X+6)
The greatest value of y is 2y+3=11 => y=4
