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LenaWriter [7]
4 years ago
6

A map has a scale of 5 inches : 12 miles. if two cities are 13 inches apart on the map, what is the actual distance between the

cities, to the nearest
Mathematics
1 answer:
emmasim [6.3K]4 years ago
8 0
Set up a proportion that looks like 5/12 = 13/x with X being the actual distance between the cities if they are 13 inches apart on the map.

Then cross-multiply to get 5x = 156. Divide by 5 to isolate the X and get X = 31.2

The cities are a distance of 31.2 miles apart.

I'm guessing your question cut off where you put to the nearest... and you mean to round to the nearest whole number in which case your answer would be just 31 miles apart. 
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State if the pair of triangles are similar. If so, state how you know they are similar and
RideAnS [48]
They can’t be similar. Similar triangles have congruent corresponding angles, and two angles are given on each. Neither of those correspond to another on the opposite triangle. Basically, there’s no way to have three congruent angles, so they aren’t similar.
5 0
3 years ago
What is the result of subtracting the second equation from the first? \begin{aligned} x-3y &= 6 \\\\ -8x-y &= 6 \end{ali
Mila [183]

Answer:

Therefore the required result is 9x-2y =0.

Step-by-step explanation:

Given equation are

x-3y =6.....(1)

-8x-y=6 .....(2)

Subtracting equation (2) from (1)

 x  -  3y = 6

-8x  -  y=  6

+     +      -                 [ The sign of equation (2)  will be change in case of          

_________               subtraction and in case of plus the signs remains same ]

(x+8x)-3y+y=6-6   [ adding the like terms]

⇒9x-2y =0

Therefore the required result is 9x-2y =0.

8 0
3 years ago
What is the cosine for F?<br><br>A. 13/12<br><br>B. 13/5<br><br>C. 12/13<br><br>D. 5/13​
GalinKa [24]
The cosine for F is A
5 0
3 years ago
Read 2 more answers
One hundred 50 cent coins have a mass of 690g. What is the mass of one 50 cent coin?
olga nikolaevna [1]
You divide 690 by 100 which is 6.9
Therefore, one 50cent coin is 6.9g
7 0
3 years ago
Read 2 more answers
Can someone explain this? :)
Alchen [17]

I'll do part (a) to get you started.

The angle 'a' pairs up with the 123 degree angle as a corresponding angle pair. Due to the parallel lines, the corresponding angles are congruent. Therefore a = 123.

We also see that b = 123 as well since a = b (they are vertical angles).

Notice how angle c is adjacent to the 123 degree angle. These two angles form a straight line, so they must add to 180 degrees.

c+123 = 180

c = 180-123

c = 57

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

To summarize, we have these three angles

a = 123

b = 123

c = 57

6 0
3 years ago
Read 2 more answers
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