There were 20 erasers added to each box, because 15 plus 20 is 35. 85 plus 20 is 105, and 35 times 3 is 105. This means that there are 35 erasers in box B after adding 20, and 105 erasers in box A after adding 20. I hope this helps you!
Answer:
Multiple answers
Step-by-step explanation:
A parallelogram is a flat shape that has four sides. The two sets of opposite sides are parallel and of equal length to each other.
To prove that our figure is a parallelogram we first get the slope of our sides.
The formule we use to get the slope is:
m = 
- first we have the W-Z side that it's supossed to be parallel to X-Y side
if we use our formule to calculate the slope of W-Z:
=
= 8
if we use our formule to calculate the slope of X-Y:
=
= 8
- We know that parallel lines will never intersect because they have the same slope, therefore W-Z side is parallel to X-Y side
2. Then we have the W-X side that it's supossed to be parallel to Z-Y side
if we use our formule to calculate the slope of W-X:
=
if we use our formule to calculate the slope of Z-Y:
=
- We know that parallel lines will never intersect because they have the same slope, therefore W-X side is parallel to Z-Y side
Then we have to prove that the parallalel sides are equal length to each other.
The formule we use to get the distance between two points is:

We calculate the lenght of the W-Z side that it's supossed to be equal to X-Y side:
W-Z =
= 
X-Y =
= 
So the W-Z side have the same lenght to X-Y side.
We calculate the lenght of the W-X side that it's supossed to be equal to Z-Y side:
W-X =
= 
Z-Y =
= 
So the W-X side have the same lenght to Z-Y side.
Answer:
5. I agree with your answer choice.
6. 13.3
Step-by-step explanation:
5. You have m∠1 = 90° = m∠2, so it is reasonable to invoke the transitive property. (Step 4 would use "angles with the same measure are congruent" to complete the proof.)
6. The difference in x-coordinates is (4-1) = 3. The difference in y-coordinates is (22-9) = 13. By the Pythagorean theorem, the distance between the points is ...
... √(3² +13²) = √178 ≈ 13.342 ≈ 13.3
Answer:
Step-by-step explanations: