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PtichkaEL [24]
3 years ago
12

Two town on a map are 2 1/4 inches apart.the actual distance between the towns is 45 miles. Which of the following could be the

scale on the map?
Mathematics
2 answers:
raketka [301]3 years ago
8 0

Answer:

20 miles per inch

Step-by-step explanation:

Divide the miles by inches

45/ 2.25 = 20

20 miles for every inch

1/4 of an inch is equal to 5 miles

so 2 inches = 40 miles

    0.25 inches = 5 miles

2.25 inches = 45 miles

Leokris [45]3 years ago
7 0

Answer:

i have no clue if its for ALBERGA BUT Here

Step-by-step explanation:

the scale is 4.5in/24mi

since 1 mile = 63360 in, that means the scale is

4.5 : 24*63360 = 4.5 : 1520640 = 1:337920

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What is the value of x?
andrey2020 [161]

Answer:

x = 30°.

Step-by-step explanation:

To calculate the value of 'x', we can first derive the value of one of the angles that make up the triangle.

Notice that there is an angle with a measure of 100°. The angle that makes up the angle of the triangle is called a Vertical Angle. Therefore, if the angle in red is 100°, the vertical angle, or the third angle of the triangle, is 100°.

There are two congruent sides to the triangle, as seen by the congruent lines. This means that both of the other two angles must be equal. Find the value of 'x' by:

180 - 100 = 80. Since the value of one angle was 100°, and the angles in a triangle must add up to 180°, you can simply subtract to find the sum of the other two angles.

(x + 10) + (x + 10) = 80

2x + 20 = 80

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3 years ago
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Divide 29 into two parts so that the sun of the squares of the parts is 425.Find the value of each Part.
Taya2010 [7]

Answer:

13 and 16

Step-by-step explanation:

let the 2 parts be x and y, then

x + y = 29 → (1) and

x² + y² = 425 → (2)

From (1) → x = 29 - y → (3)

substitute x = 29 - y into (2)

(29 - y)² + y² = 425 ( expand factor )

841 - 58y + y² + y² = 425 ( rearrange into standard form )

2y² - 58y + 416 = 0 ← in standard quadratic form

divide all terms by 2

y² - 29y + 208 = 0

Consider the factors of 208 which sum to - 29

These are - 13 and - 16, hence

(y - 13)(y - 16) = 0

equate each factor to zero and solve for y

y - 13 = 0 ⇒ y = 13

y - 16 = 0 ⇒ y = 16

substitute these values into (3)

x = 29 - 13 = 16 and x = 29 - 16 = 13

The 2 parts are 13 and 16


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3 years ago
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Usimov [2.4K]
Option B is correct
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