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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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10. A In the adjoining Figure, ab is perpendicular to bc and ed is to cd while bc=cd . prove i) triangle abc is corresponding to
xxTIMURxx [149]

<u>Part</u><u> </u><u>(</u><u>i</u><u>)</u>

1) AB is perpendicular to BC, ED is perpendicular to CD, BC = CD (given)

2) Angles ABC and CDE are right angles (perpendicular lines form right angles)

3) Angles ABC and CDE are equal (all right angles are equal)

4) Angles ACB and DCE are equal (vertical angles are equal)

5) Triangles ABC and EDC are congruent (ASA)

<u>Part</u><u> </u><u>(</u><u>ii</u><u>)</u>

6) AB = DE (corresponding parts of congruent triangles are equal)

4 0
2 years ago
A department store is having a sale in which every item is 38% off its original price. The regular price of a suit is $112. How
lara [203]

Answer: $42.56

Step-by-step explanation:

Percent discount in department store = 38%

The regular price of suit = $112.

Price taken off the regular price of the suit =

38% of $112

So, 38% of $112

= (38/100) x $112

= 0.38 x $112

= $42.56

(i.e the customer will pay $112 - $42.56 = $69.44 only for the suit)

Thus, the price taken off the regular price of the suit is $42.56

3 0
3 years ago
Suppose triangle bca is congruent to triangle ecd. which statement is not necessarily true?
natali 33 [55]
Answer is <span>a) line BC is congruent to line CD

this is not true

BC should be </span>congruent to line EC, not CD
5 0
4 years ago
While shopping, janet bought a shirt for $8, a pair of jeans for $22, mittens for $5, and a hat for $10. how much money did jane
Talja [164]
Janet spent $45 in all
5 0
4 years ago
On a scale drawing inch = 1 foot. What are the dimensions on the scale for a room that is 27 feet by 20 feet?
Rufina [12.5K]
If 1 inch = 1 foot then 1 foot = 1 inch.
With this, you can make a ratio of 1 foot:1 inch, or 1:1.
Starting with the first dimension, 27 feet, just change the 1 to 27 in the ratio.
27:?
To find how many inches this is in the scale drawing, find how much 1 had to be multiplied by to get to 27. This is 27, since anything times 1 is itself.
Just multiply the other side by 27 as well to get the answer for the first dimension.
1 • 27 = 27
So 27 feet = 27 inches in the scale drawing.
Now do the same for the second dimension.
1:1
20:?
1 • 20 = 20
20:20
The answer is that the scale drawing has dimensions of 27 inches by 20 inches if 1 inch = 1 foot is the scale
7 0
4 years ago
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