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Arte-miy333 [17]
3 years ago
14

Patrick needs to walk from his cabin to the fire pit. He can walk directly from his cabin to the fire pit or walk to the dock th

en to the fire pit. Which path is the shorter route? Justify your response
Mathematics
1 answer:
Pavlova-9 [17]3 years ago
6 0

Answer:

he can walk directily to the fire pit

Step-by-step explanation:

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Point J is the midpoint of segment FG with endpoints F(1,4) and G(5,12). Point K is the midpoint of segment GH with endpoints G(
faltersainse [42]

Answer:

1 unit

Step-by-step explanation:

If point J is the midpoint of segment FG with endpoints F(1,4) and G(5,12), then its coordinates are

x_J=\dfrac{x_F+x_G}{2}=\dfrac{1+5}{2}=3\\ \\y_J=\dfrac{y_F+y_G}{2}=\dfrac{4+12}{2}=8

If point K is the midpoint of segment GH with endpoints G(5,12) and H(-1,4), then its coordinates are

x_K=\dfrac{x_G+x_H}{2}=\dfrac{5+(-1)}{2}=2\\ \\y_K=\dfrac{y_G+y_H}{2}=\dfrac{12+4}{2}=8

The measure of JK is

JK=\sqrt{(3-2)^2+(8-8)^2}=\sqrt{1^2+0^2}=1\ unit

3 0
3 years ago
A bicycle has tires with a diameter of 21 inches. How many inches will
Finger [1]

Answer:

175 feet

Step-by-step explanation:

In 1 full revolution, the bike will travel 42 inches because the diameter of the tire is 21 inches. Any point on the tire will have to go through a whole revolution to be back at the original point which means 21 inches times 2.

So the bike travels 42 inches in 1 revolution then in 50 revolutions it will travel 2100 inches (42 times 50). Now if your convert 2100 inches to feet, you get 175 feet.

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We want to solve
4/7 = x/161

Cross multiply.
7x =(4)(161) = 644

Divide each side by 7.
x = 644/7 = 92

Answer:  x = 92
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Answer:

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-4 -4

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

12x=36

--- ---

12 12

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....the answer is 682.5

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