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Archy [21]
3 years ago
10

X=4/5 (x+10) pls ans fast!!!!!!!!!!!!!!!!!!!!1

Mathematics
1 answer:
8_murik_8 [283]3 years ago
7 0

Answer:

x=40

Step-by-step explanation:

x=4(x+10)÷5

x=(4x+40)÷5

5x=4x+40

x=40

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<h3>Answer:  36.4 units  (choice A)</h3>

===========================================================

Explanation:

Let's use the distance formula to find the distance from D to E

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Note: uppercase D refers to the point, while lowercase d is the distance from D to E.

The length of segment DE is roughly 10.198 units long.

----------------

Repeat for the distance from E to F.

E = (x_1,y_1) = (3,4) \text{ and } F = (x_2, y_2) = (5,-7)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(3-5)^2 + (4-(-7))^2}\\\\d = \sqrt{(3-5)^2 + (4+7)^2}\\\\d = \sqrt{(-2)^2 + (11)^2}\\\\d = \sqrt{4 + 121}\\\\d = \sqrt{125}\\\\d = \sqrt{25*5}\\\\d = \sqrt{25}*\sqrt{5}\\\\d = 5\sqrt{5}\\\\d \approx 11.1803\\\\

Segment EF is roughly 11.1803 units long.

----------------

Repeat for the distance from F to D.

F = (x_1,y_1) = (5,-7) \text{ and } D = (x_2, y_2) = (-7,2)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(5-(-7))^2 + (-7-2)^2}\\\\d = \sqrt{(5+7)^2 + (-7-2)^2}\\\\d = \sqrt{(12)^2 + (-9)^2}\\\\d = \sqrt{144 + 81}\\\\d = \sqrt{225}\\\\d = 15\\\\

Unlike the others, this result is exact.

----------------

Add up the three segment lengths to get the perimeter

DE + EF + FD

10.198 +  11.1803 + 15

36.3783

The perimeter is approximately 36.3783 units which rounds to <u>36.4</u>

The answer has been confirmed with GeoGebra.

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Step-by-step explanation:

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Learn more about the box and whisker plot here:

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