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AnnyKZ [126]
3 years ago
10

In a square,the sum of the length of three sides is 48 and in a rectangle the difference between a length and width is 7 in if a

width of the rectangle is the same as a side of the square how long is length of the rectangle.
Mathematics
1 answer:
kap26 [50]3 years ago
8 0

Answer:

23

Step-by-step explanation:

The sides of a square are all the same length, so if 3 of them total 48, one of them must be 48/3 = 16.

If the length of the rectangle is 7 longer than the side of the square, it is

... 16 + 7 = 23

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100 points! Mhanifa can you please help? Look at the picture attached. I will mark brainliest!
dimulka [17.4K]

Answer:

1 and 2.

Midpoints calculated, plotted and connected to make the triangle DEF, see the attached.

  • D= (-2, 2), E = (-1, -2), F = (-4, -1)

3.

As per definition, midsegment is parallel to a side.

Parallel lines have same slope.

<u>Find slopes of FD and CB and compare. </u>

  • m(FD) = (2 - (-1))/(-2 -(-4)) = 3/2
  • m(CB) = (1 - (-5))/(1 - (-3)) = 6/4 = 3/2
  • As we see the slopes are same

<u>Find the slopes of FE and AB and compare.</u>

  • m(FE) = (-2 - (- 1))/(-1 - (-4)) = -1/3
  • m(AB) = (1 - 3)/(1 - (-5)) = -2/6 = -1/3
  • Slopes are same

<u>Find the slopes of DE and AC and compare.</u>

  • m(DE) = (-2 - 2)/(-1 - (-2)) = -4/1 = -4
  • m(AC) = (-5 - 3)/(-3 - (-5)) = -8/2 = -4
  • Slopes are same

4.

As per definition, midsegment is half the parallel side.

<u>We'll show that FD = 1/2CB</u>

  • FD = \sqrt{(2+1)^2+(-2+4)^2} = \sqrt{3^2+2^2} = \sqrt{13}
  • CB = \sqrt{(1 + 5)^2+(1+3)^2} = \sqrt{6^2+4^2} = 2\sqrt{13}
  • As we see FD = 1/2CB

<u>FE = 1/2AB</u>

  • FE = \sqrt{(-4+1)^2+(-1+2)^2} = \sqrt{3^2+1^2} = \sqrt{10}
  • AB = \sqrt{(-5 -1)^2+(3-1)^2} = \sqrt{6^2+2^2} = 2\sqrt{10}
  • As we see FE = 1/2AB

<u>DE = 1/2AC</u>

  • DE = \sqrt{(-2+1)^2+(2+2)^2} = \sqrt{1^2+4^2} = \sqrt{17}
  • AC = \sqrt{(-5 +3)^2+(3+5)^2} = \sqrt{2^2+8^2} = 2\sqrt{17}
  • As we see DE = 1/2AC

3 0
3 years ago
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HELP MARK BRANLIEST AND ALSO POINTS
Taya2010 [7]

Answer:

25 rides

Step-by-step explanation:

has $28.50

15.75 + 0.50r \leq 28.50

Subtract 15.75

0.50r \leq 12.75

r \leq 25.5

you can't have half rides, so 25 rides

4 0
2 years ago
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