Answer:
Step-by-step explanation:
2p - q + 4 - ( p - q )
2p - q + 4 - p + q
By rearranging the terms
2p - p + 4
( you might think where -q and +q went ???
They are cancelled because they have opposite signs )
∴The answer is p + 4
Hope it helps
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Answer:
50 each base angle
Base Angle_1 + Base Angle_2 + Vertex = 180
50 + 50 + 80 = 180
180 = 180
Step-by-step explanation:
Sum of interior angles of Triangle is 18- degrees.
2b + vertex = 180
2b + 80 = 180
2b + 80 -80 = 180 - 80
2b = 100
b = 50
Answers:
1) Given
2) angle 2 ** see note below
3) angle 3 ** see note below
4) converse of alternate exterior angle theorem
note: you can swap the answers for 2 and 3 and it doesn't matter
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Explanations:
1) This is given so we just simply state "given". It seems silly to repeat what is given, but this is how you start any geometry proof.
2 & 3) The answers here are angle 2 and angle 3 because they are both interior angles (on the inside of the parallel lines m and L) and they are on alternate sides of the transversal line q. So they are both alternate interior angles and are congruent due to line L parallel to line m (alternate interior angle theorem)
4) If you have a pair of parallel lines, then the alternate exterior angle theorem says that alternate exterior angles are congruent. Going in reverse, the converse of this theorem says that having a pair of congruent alternate exterior angles (angle 1, angle 2) leads to the lines being parallel (p and q).
Y= -201 ...................
Answer:
Range: y ≥ 4
Step-by-step explanation:
Range is the y value
y = (x-2)^2 +4
The smallest the squared term can be is zero
y = 0 +4
The smallest y can be is 4
y ≥ 4
