The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles of the triangle.
m∠4=m∠1+m∠2m∠4=m∠1+m∠2
Proof:
Given: ΔPQRΔPQR
To Prove: m∠4=m∠1+m∠2m∠4=m∠1+m∠2
StatementReason1ΔPQRΔPQR is a triangleGiven2m∠1+m∠2+m∠3=180°m∠1+m∠2+m∠3=180°Triangle Sum Theorem3∠3∠3 and ∠4∠4 form a linear pairDefinition of linear pair.4∠3∠3 and ∠4∠4 are supplementaryIf two angles form a linear pair, they are supplementary.5m∠3+m∠4=180°m∠3+m∠4=180°Definition of supplementary angles.6m∠3+m∠4=m∠1+m∠2+m∠3m∠3+m∠4=m∠1+m∠2+m∠3Statements 2, 5 and Substitution Property.7m∠4=m∠1+m∠2m∠4=m∠1+m∠2Subtraction Property. im 99.9 perecent sure this is right bc im only in middle school but hope it helps
Answer:
?
Step-by-step explanation:
First you do,
3 x 2 =1/4
plus 3 x 2 1/2= ?
Then you will get your answer! Hope it helps!
The asymptote and the y-intercept of the function is asymptote: y = 2
y-intercept: (0,8) , Option A is the answer.
<h3>What is an Asymptote ?</h3>
Asymptote is a straight line that approaches the curve but does not meet even at infinite distance.
It is given that f(x) = 6 (0.5)ˣ +2
The horizontal asymptote is at y = c
y = 2
From the curve it can be seen that
The intercept of y axis is determined when x = 0
then f(0) = 6 * (0.5)⁰ + 2
f(0) = 8
Therefore the y intercept is at (0,8)
Therefore Option A is the right answer.
To know more about Asymptote
brainly.com/question/4084552
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Functions:graph B,mapping A, Table B
Grape B is a function because it passes the vertical line test ( meaning when I draw a vertical line any where on the graph the line only touched one point),mapping A is a function because each x value has only one y value same with table.
Non function: graph A, mapping B, Table A
Graph A does not pass vertical line test so it is not a function, mapping B and Table A both have an x value that has two y values and that is not a function.