A parallelogram with a diagonal drawn through it is shown below. R
7
U
Arlen is trying to prove that RS TU, but is unable to come up with one of the lines of the proof.
STATEMENTS
REASONS
RSUT is a parallelogram
Given
ZRST LUTS and ZRTS ZUST
If parallel lines are cut by a transversal, alternate interior angles are congruent.
ST ST
Reflexive Property
ARST ZAUTS
???
RS TU
Corresponding parts of a congruent triangle are congruent.
What is the missing reason in the proof?

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

answer: what statements

step-by-step explanation if you write the statements down then i could you.

step-by-step explanation:

it is 28 degrees colder in detroit than philadelphia.

step-by-step explanation:

what number adds to 21

-7 + ? = 21

-7 + 28 = 21

hope it