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3 years ago

14

The angles with measures x and 4x are complementa angles.which is the value of x

1 answer:

pochemuha3 years ago

8 0

Answer:

$\huge\boxed{x=18^o}$

Step-by-step explanation:

Two angles are Complementary when they add up to 90°.

Therefore

$x+4x=90\qquad|\text{combine like terms}\\\\5x=90\qquad|\text{divide both sides by 5}\\\\\dfrac{5x}{5}=\dfrac{90}{5}\\\\\boxed{x=18}$

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jackie’s report is 5 pages longer than half the number of pages in kane’s report. there are 14 pages in kane’s report. how many

Vitek1552 [10]

Oh! I answered this question last week! Don't know if it was the same exact one, but whatever. So first cut the number of pages in Kate's report in half, then add 5 to that. So, (14÷2)+5

6 0

3 years ago

Read 2 more answers

Students in a world geography class want to determine the distances between cities in Europe. The map gives all

galina1969 [7]

Using a proportional relationship, we have that:

a) The constant of proportionality is of 0.625, hence the equation is: $y = 0.625x$ .

b) The distance of two cities that are 5 miles apart is of 8 kilometers.

c) When they are 200 kilometers apart, we have that the distance in miles is of $y = 0.625(200) = 125$ .

<h3>What is a proportional relationship?</h3>

A <em>proportional relationship</em> is a function in which the <u>output variable is given by the input variable multiplied by a constant of proportionality</u>, that is:.

$y = kx$

In which k is the constant of proportionality.

Item a:

From the graph, when x = 8, y = 5, hence:

$y = kx$

$5 = 8k$

$k = \frac{5}{8}$

$k = 0.625$

The constant of proportionality is of 0.625, hence the equation is: $y = 0.625x$ .

Item b:

From the graph, when y = 5, x = 8, hence:

The distance of two cities that are 5 miles apart is of 8 kilometers.

Item c:

When they are 200 kilometers apart, we have that the distance in miles is of $y = 0.625(200) = 125$ .

You can learn more about proportional relationship at brainly.com/question/13550871

4 0

2 years ago

If 32% of a number is 64, what is the number?

Verdich [7]

Hey!

------------------------------------------------

Steps To Solve:

~Turn into decimal

32% = 0.32

~Divide

64 / 0.32 = 200

------------------------------------------------

Hence, the answer is $\Large\boxed{\mathsf{200}}$

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Hope This Helped! Good Luck!

7 0

3 years ago

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A group of 4 friends paid a total of $50.24 for tickets to a museum. Each friend paid the same amount for a ticket. Solve this a

Dmitry_Shevchenko [17]

Answer:

$12.56

Step-by-step explanation:

$50.24 divided by the 4 friends = $12.56

I divided the total cost by the amount of friends who went to the museum and so I did $50.24 divided by the 4 friends = $12.56.

6 0

2 years ago

the density of a certain material is such that weighs 6900 grams for every 4.5 quarts of volume express this density in pounds p

dlinn [17]

Answer:

$d=101.4\ \text{pounds}/\text{feet}^3$

Step-by-step explanation:

Given that,

Mass of material, m = 6900 grams

Volume of the material, V = 4.5 quarts

We need to find the density in pounds per cubic foot

We know that,

1 pound = 453.59 grams

⇒ 6900 grams = 15.21 pounds

Also, 1 cubic foot = 29.92 quarts

4.5 quart = 0.15 feet³

Density = mass/volume

Or

$d=\dfrac{15.21\ \text{pounds}}{0.15\ \text{feet}^3}\\\\d=101.4\ \text{pounds}/\text{feet}^3$

Hence, the density of the material is $101.4\ \text{pounds}/\text{feet}^3$

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3 years ago