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oksano4ka [1.4K]
2 years ago
7

Please help me Find X

Mathematics
1 answer:
solmaris [256]2 years ago
7 0

The labeled angle is what's called an inscribed angle. There's a theorem (fittingly called the inscribed angle theorem) that says the measure of this angle is half the measure of the circular arc that it subtends.

In this case, the angle is subtended by an arc measuring 180°. So

(4x + 6)° = 1/2 • 180°

4x + 6 = 90

4x = 84

x = 21

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3) Find two consecutive even integers such that their sum is equal to the difference of 3 times the larger & 2 times the sma
swat32

Answer:

In assumption, x is the smaller even integer and x+2 is the next so it will be larger.

The integers are 4 and 6

Step-by-step explanation:

Let the two consecutive even integers be x and x+2

Here x is the smaller even integer and x+2 is the next so it will be larger.

Now according to the given statement

Sum of both: x+x+2

difference of 3 times the larger & 2 times the smaller:3(x+2)-2x

Putting the sum and difference equal:

x+x+2 = 3(x+2)-2x

Solving the equation

2x+2 = 3x+6-2x\\2x+2 = x+6\\2x+2-x = x+6-x\\x+2 = 6\\x+2-2 = 6-2\\x = 4

The next integer will be:

x+2 = 4+2 = 6

Hence,

In assumption, x is the smaller even integer and x+2 is the next so it will be larger.

The integers are 4 and 6.

3 0
3 years ago
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Answer:

C. (0, 7)

Step-by-step explanation:

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3 years ago
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A and  C

Step-by-step explanation:

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3 years ago
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