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Firlakuza [10]
2 years ago
9

Find the value for a.

Mathematics
1 answer:
Airida [17]2 years ago
6 0

Answer:

a = 25

Step-by-step explanation:

The exterior angles of a polygon sum to 360°

Sum the exterior angles and equate to 360

a + a + 40 + 51 + 55 + 54 + 2a + 60 = 360, that is

4a + 260 = 360 ( subtract 260 from both sides )

4a = 100 ( divide both sides by 4 )

a = 25

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A triangle has side lengths measuring 2x 2 ft, x 3 ft, and n ft. which expression represents the possible values of n, in feet?
swat32

The expression x – 1 < n < 3x + 5 represents the possible values of n, in feet whose side lengths are (2x+2) ft, (x+3) ft, and n ft.

<h3>What is the triangle?</h3>

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have a triangle whose side lengths measures are (2x+2) ft, (x+3) ft, and n ft.

If we take the first two sides are (2x+2) ft, (x+3) ft, and third is n ft.

By the triangle property, that sum of the two sides is always greater than the third side.

2x+2+x+3 > n

3x+5 > n  .....(1)

Now take first two sides as n ft, (x+3) ft, and third side (2x+2) ft

n+x+3 > 2x+2

n > x-1 .....(2)

From the inequality (1) and (2), we get:

x – 1 < n < 3x + 5

Thus, the expression x – 1 < n < 3x + 5 represents the possible values of n, in feet whose side lengths are (2x+2) ft, (x+3) ft, and n ft.

Learn more about the triangle here:

brainly.com/question/25813512

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2 years ago
At a car dealership yesterday, the ratio of trucks sold to cars sold was 5.6. If the dealership sold 30 cars, how many trucks we
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25

Step-by-step explanation:

ratio 5:6

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Answer:

The correct answer is (FALSE)

Step-by-step explanation:

(APEX)

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