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antoniya [11.8K]
3 years ago
13

If the scale of a flag from the image to the actual were 1 inch = 63.75 ft, what is the scale factor? What is an equation that c

an relate the model and actual? (Reminder 1 foot = 12 inches)
Mathematics
1 answer:
Luden [163]3 years ago
3 0

Answer:

  • Scale Factor from the image to the actual= 765
  • y=765x

Step-by-step explanation:

The scale of the flag from the image to the actual were 1 inch = 63.75 ft.

Now,  1 foot = 12 inches

63.75 feet = k inches

k= 63.75 X 12 =765 inches

Therefore: 1 Inch represents 765 Inches

Scale Factor from the image to the actual= 765

If y is the length of the actual and x is the length of the image, then:

y=765x

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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:

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  • 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

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

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

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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)

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∵ 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})

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

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∴ 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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