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nydimaria [60]
3 years ago
14

On a map, 1 inch represents 20 miles. The distance between two towns is 6 whole number 1/5 inches. How many miles are actually b

etween the towns?
Mathematics
1 answer:
ValentinkaMS [17]3 years ago
3 0

Answer:

124 miles.

Step-by-step explanation:

From the question given above, the following data were obtained:

1 in = 20 miles

6 1/5 in =?

Next, we shall express 6 1/5 in decimal for easy calculation . This can be obtained as follow:

6 1/5 = 31 / 5

6 1/5 = 6.2 in

Finally, we shall convert 6.2 in to miles. This can be obtained as follow:

1 in = 20 miles

Therefore,

6.2 in = 6.2 in × 20 miles / 1 in

6.2 in = 124 miles

Thus, 6 1/5 in is equivalent to 124 miles.

Therefore, there are 124 miles between the two towns.

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vovikov84 [41]

Answer:

The sum of this entire line is 180, so to solve this we would subtract 20 from 180, which means x = 160.

(っ◔◡◔)っ ♥ Hope It Helps ♥

7 0
3 years ago
Read 2 more answers
Is RS perpendicular to DF? Select Yes or No for each statement. R (6, −2), S (−1, 8), D (−1, 11), and F (11 ,4) R (1, 3), S (4,7
guajiro [1.7K]

I'll do the first one to get you started.  

Find the slope of the line between R (6,-2) and S (-1,8) to get

m = (y2-y1)/(x2-x1)

m = (8-(-2))/(-1-6)

m = (8+2)/(-1-6)

m = 10/(-7)

m = -10/7

The slope of line RS is -10/7

Next, we find the slope of line DF

m = (y2 - y1)/(x2 - x1)

m = (4-11)/(11-(-1))

m = (4-11)/(11+1)

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From here, we multiply the two slope values

(slope of RS)*(slope of DF) = (-10/7)*(-7/12)

(slope of RS)*(slope of DF) = (-10*(-7))/(7*12)

(slope of RS)*(slope of DF) = 10/12

(slope of RS)*(slope of DF) = 5/6

Because the result is not -1, this means we do not have perpendicular lines here. Any pair of perpendicular lines always has their slopes multiply to -1. This is assuming neither line is vertical.

I'll let you do the two other ones. Let me know what you get so I can check your work.

3 0
3 years ago
What is the length of the hypotenuse
podryga [215]
Pythagoras’ Theorem = a^2+b^2=c^2

c^2= 5^2+12^2
=25+144
=169

c= sqrt of 169
c=13

Hypotenuse=13cm
7 0
3 years ago
Read 2 more answers
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Answer:

Step-by-step explanation:

x+10=0

x=-10

so vertex is (-10,-105)

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3 years ago
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Answer:

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x+136=180

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8 0
3 years ago
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