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Phoenix [80]
3 years ago
7

What is the value of x, given that OP II NQ?

Mathematics
1 answer:
Semenov [28]3 years ago
6 0

Answer:

Option C. x = 12

Step-by-step explanation:

we have that

Traingles MOP and MNQ are similar

therefore

The ratio of its corresponding sides is proportional

\frac{MO}{MN}=\frac{MP}{MQ}

substitute the values

\frac{21+7}{21}=\frac{36+x}{36}

28*36=21*(36+x)\\ \\1,008=756+21x\\ \\21x=252\\ \\x=12\ units

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A high school football pennant is in the shape of an isosceles triangle. The base is 18 inches long. The sides meet at an angle
Oksanka [162]

Answer:

The length of each side is 26.3 cm

Step-by-step explanation:

Opposite sides of an isoceles triangle are equal

The isoceles triangle is divided into 2 right-angled triangles so the length of one side can be calculated using trigonometric ratio

When the isoceles triangle is divided, the angle in the right-angled triangle is 20° (1/2 of 40°) and the base is 9cm (1/2 of 18 cm), the hypotenuse side is calculated using trigonometric ratio

Let the length of the hypotenuse side be y

9/y = sin 20°

y = 9/0.3420 = 26.3

Length of each side is 26.3 cm

3 0
4 years ago
3. Rewrite the expression as simply as you can:<br> 3x + 11y - 2x - 4y
vfiekz [6]

Answer:

x+7y

Step-by-step explanation:

First off, lets split the question into both x and y.

3x - 2x for the x

11y - 4y for the y

You can solve both of them to get x + 7y

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11y - 4y = 7y

Then, add them back up and get x + 7y

7 0
3 years ago
Read 2 more answers
Why is -9an acceptable answer to the equation x2=81 ?
Arte-miy333 [17]

Answer:

X=9 or x=-9

Step-by-step explanation:

X^2=81

Can be written as

x^2-81=0

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a^2-b^2=(a-b)(a+b)

So the expression becomes:

(x-9)(x+9)=0

Therefore, either x-9=0or x+9=0

Then the solutions are x=9 or x=-9

8 0
4 years ago
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deff fn [24]

Answer:

The answer is 16

Step-by-step explanation:

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3 years ago
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Murljashka [212]

Answer:

18/44

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To turn 9/22 into something over 44, we need to figure out what to multiply it by.

44 / 22 = 2.

Multiply 9/22 by 2:

9/22 * 2 = 18/44

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3 years ago
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