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kari74 [83]
3 years ago
10

The triangles are similar.

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
3 0
I set up a proportion, the answer should be x=21
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The scale of a map is 1 inch : 9.5 miles.
DedPeter [7]

Answer:

  • 2.526 in
  • 4.211 in

Step-by-step explanation:

To find the number of inches, divide miles by 9.5.

__

a) 24 miles = (24 mi)×(1 in)/(9.5 mi) = (24/9.5) in ≈ 2.526 in

__

b) 24 miles + 16 miles = 40 miles = (40 mi)×(1 in)/(9.5 mi) = 40/9.5 in ≈ 4.211 in

_____

Comment on units conversion

I find it convenient to work units conversion problems by writing a fraction that is equal to 1 and multiplying by that to change units. My fraction has the "to" units in the numerator, and the "from" units in the denominator. That way, the unwanted units cancel when the multiplication is carried out.

The fraction is equal to 1 because the measurement in the numerator is equal to the measurement in the denominator.

__

Some folks prefer proportions. If you do it that way, be sure "like" is matched with "like".

  map inches/ground miles = 1/9.5 = x/24

  route inches/scale inches = route miles/scale miles = x/1 = 24/9.5

6 0
3 years ago
Which number(s) from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, if any, will solve this equation?
8090 [49]
Hello!

You solve this algebraically

2x + 3 = 5x - 3

Subtract 2x from both sides

3 = 3x - 3

Add 3 to both sides

6 = 3x

Divide both sides by 3

2 = x

The answer is A) 2

Hope this helps!
8 0
3 years ago
Math problem for highschool
tresset_1 [31]

Answer:

297 units squared

Step-by-step explanation:

You just have to break the squares down and compare them to the other sides of the squares.  For example, F is a 4 by 4 square and B is a 5 by 5 square, to find the dimensions of square E, you would just subtract 5 by 4.  By looking at the side relationships of the squares, you can easily find the dimensions of each one.

A - 9 by 9

B - 5 by 5

C - 6 by 6

D - 7 by 7

E - 1 by 1

F - 4 by 4

G - 8 by 8

H - 5 by 5

Multiply and add to get 297

7 0
3 years ago
Read 2 more answers
Find the area of the figure.<br> 5ft<br> 85°<br> 9ft
Natali5045456 [20]

Answer:

where is your figure

Step-by-step explanation:

8 0
3 years ago
Which option best shows X ≤ -3
seraphim [82]

Step-by-step explanation:

the answer is b because the circle is filled with color as it should be and shows that x is equally to number 3 too

3 0
3 years ago
Read 2 more answers
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