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Naddika [18.5K]
2 years ago
15

An angle measures 64.8° less than the measure of its complementary angle. What is the measure of each angle?

Mathematics
1 answer:
kirill115 [55]2 years ago
5 0

Answer:

<u>77.4 degrees and 12.6 degrees</u>

Step-by-step explanation:

Let the angles be x and x - 64.8.

Therefore, on the basis of knowledge that complementary angles add up to 90 degrees :

x + x - 64.8 = 90

2x = 154.8

x =  <u>77.4 degrees</u>

x - 64.8 = 77.4 - 64.8 = <u>12.6 degrees</u>

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Which expression is equivalent
Tatiana [17]

Given expression is

\sqrt[4]{\frac{16x^{11}y^8}{81x^7y^6}}

Radical is fourth root

first we simplify the terms inside the radical

\frac{x^{11}}{x^7}=x^4

\frac{y^(8)}{y^6}=y^2

So the expression becomes

\sqrt[4]{\frac{16x^4y^2}{81}}

Now we take fourth root

\sqrt[4]{16} = 2

\sqrt[4]{81} = 3

\sqrt[4]{x^4} = x

We cannot simplify fourth root (y^2)

After simplification , expression becomes

\frac{2x\sqrt[4]{y^2}}{3}

Answer is option B


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3 years ago
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2 years ago
WHAT IS THE ANSWER ?? PLEASE HELP !!
Jlenok [28]

Answer:

B. 43°

Step-by-step explanation:

Internal angles of the triangle are:

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So It is a right triangle and the missing angle is:

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8 0
2 years ago
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a suit is being sold at a 20 % off (discount). The sale price is $ 270. What was the original price ?
Lisa [10]

Answer:

The original price is 337.50

Step-by-step explanation:

If we get 20% off, we still have to pay 100-20 =80%

Let x be the original price

x *80% = 270

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Divide each side by .80

.80x/.80 = 270/.80

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The original price is 337.50

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3 years ago
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Can someone help or show me how to simplify this equation 22.5+7(n-3.4)
Scorpion4ik [409]
<span>22.5+7 (n-3.4)=19.8n

We simplify the equation to the form, which is simple to understand
<span>22.5+7(n-3.4)=19.8n

Reorder the terms in parentheses
<span>22.5+(+7n-23.8)=19.8n

Remove unnecessary parentheses
<span>+22.5+7n-23.8=+19.8n

We move all terms containing n to the left and all other terms to the right.
<span>+7n-19.8n=-22.5+23.8

We simplify left and right side of the equation.
<span><span>-12.8n=+1.3

</span>We divide both sides of the equation by -12.8 to get n.
<span>n=-0.1015625</span></span></span></span></span></span></span>
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3 years ago
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