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2 years ago

∠A and ∠B are adjacent. The sum of their measures is 92∘. ∠A measures (2x+5)∘. ∠B is three times the size of ∠A.

Mathematics

1 answer:

Ilia_Sergeevich [38]2 years ago

5 0

Answer:

Equation: 2x + 5 + 6x + 15 = 92

Solution: x = 9

m∠A =23° m∠B = 69°

Step-by-step explanation:

measure of ∠B = 3(2x + 5) = 6x + 15

The sum of the angles = 92 = 2x + 5 + 6x + 15

92 = 8x + 20

72 = 8x

x = 9

m∠A = 2(9) + 5 = 18 + 5 = 23

m∠B = 6(9) + 15 = 54 + 15 = 69

Check: 23 + 69 = 92 and 23(3) = 69

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Using proportions, it is found that:

The fraction that shows the proportion of customers who voted for cheddar flavor is $\frac{42}{75}$

56% of customers voted for cheddar flavor.

A proportion is the number of desired outcomes divided by the number of total outcomes.

A percentage is the proportion multiplied by 100%.

In this question, 42 out of 75 customers voted for the cheddar flavor, hence:

$p = \frac{42}{75}$

That is, the fraction that shows the proportion of customers who voted for cheddar flavor is $\frac{42}{75}$

The percentage is:

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To learn more about proportions, you can take a look at brainly.com/question/24372153

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2 years ago

Rewrite the expression with a rational exponent as a radical expression.

tatiyna

Answer:

First option is correct.

$\sqrt[10]{4}$

Step-by-step explanation:

Given:

The given expression is $(4^{\frac{2}{5}})^{\frac{1}{4}}$

We write the given expression with a rational exponent as a radical expression such as.

$=(4^{\frac{2}{5}})^{\frac{1}{4}}$

Simplify the above equation by multiplication of powers.

$=(4^{\frac{2}{5}\times \frac{1}{4}})$

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Therefore, The answer is $=\sqrt[10]{4}$ .

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3 years ago

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Galina-37 [17]

Answer:

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Step-by-step explanation:

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