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2 years ago

6

Evan spent 20 hours doing homework last week. This week he spent 25 hours doing homework. He says that he spent 125% more time d

oing homework this week. Is he correct? Show your work to justify your decision. (5 points)

2 answers:

ozzi2 years ago

3 0

Answer:Yes

Step-by-step explanation:

25% of 20 is 5.

Margaret [11]2 years ago

3 0

Answer:

Step-by-step explanation:

25% of 20 is 5.

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What are the coordinates of the endpoints of the midsegment for △XYZ that is parallel to XZ⎯⎯⎯⎯⎯ ?

Ksenya-84 [330]

The coordinates of the endpoints of the mid-segment of Δ XYZ that parallel to XZ are (1 , 6) and (1 , 3)

Step-by-step explanation:

In a triangle the segment which joining the mid points of two sides:

Parallel to the 3rd side
Its length is equal half the length of the 3rd side
It's called the mid-segment of the triangle

In Δ XYZ

∵ Vertex X is (0 , 7)

∵ Vertex Y is (2 , 5)

∵ Vertex Z is (0 , 1)

∵ The mid-segment of Δ XYZ is parallel to XZ

- The mid-segment intersects the other two sides of the Δ

at their mid-points

∴ The mid-segment intersects XY and YZ at their midpoints

∴ The endpoints of the mid-segment are the midpoints of

XY and YZ

The mid point of a segments whose endpoints are $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is $(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$

∵ X = (0 , 7) and Y = (2 , 5)

∴ $x_{1}$ = 0 and $x_{2}$ = 2

∴ $y_{1}$ = 7 and $y_{2}$ = 5

∵ The mid point of XY = $(\frac{0+2}{2},\frac{7+5}{2})$

∴ The mid point of XY = $(\frac{2}{2},\frac{12}{2})$

∴ The mid point of XY = (1 , 6)

∵ Z = (0 , 1) and Y = (2 , 5)

∴ $x_{1}$ = 0 and $x_{2}$ = 2

∴ $y_{1}$ = 1 and $y_{2}$ = 5

∵ The mid point of ZY = $(\frac{0+2}{2},\frac{1+5}{2})$

∴ The mid point of ZY = $(\frac{2}{2},\frac{6}{2})$

∴ The mid point of ZY = (1 , 3)

∵ The endpoints of the mid-segment are the midpoints of

XY and YZ

∴ The end points of the mid segments are (1 , 6) and (1 , 3)

The coordinates of the endpoints of the mid-segment of Δ XYZ that parallel to XZ are (1 , 6) and (1 , 3)

Learn more:

You can learn more about the mid-point in brainly.com/question/5223123

#LearnwithBrainly

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