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Leokris [45]
3 years ago
12

Will Mark brainliest

Mathematics
2 answers:
Zarrin [17]3 years ago
8 0

Answer:

x = 45

Step-by-step explanation:

The angle measurement of the line is 180 degrees because it is a straight line. Therefore, the shown two angle measurements must add up to 180 as well. So:

(2x+45) + x = 180

Combine like terms to simplify

3x + 45 = 180

-45           -45

Subtract 45 on both sides to isolate the variable

3x = 135

Divide 3 on both sides to isolate the variable as well

x = 45

*Hope this helped! : )*

Artyom0805 [142]3 years ago
5 0

180^{\circ} = (2x + 45)^{\circ} + x^{\circ}\\180^{\circ} = 2x^{\circ} + 45^{\circ} + x^{\circ}\\180^{\circ} - 45^{\circ} = 2x^{\circ} + x^{\circ}\\135^{\circ} = 3x^{\circ}\\x^{\circ} = 45^{\circ}

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3 years ago
The ratio of ebooks to novels is 4:5. if there are 32 ebooks how many novels are there?
12345 [234]
<h3>Answer:  40 novels</h3>

================================================

Work Shown:

n = number of novels

(32 ebooks)/(n novels) = 4/5

32/n = 4/5

32*5 = n*4 ............ cross multiply

160 = 4n

4n = 160

n = 160/4 .............. dividing both sides by 4

n = 40

There are 40 novels.

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3 years ago
Choose the correct response​
lilavasa [31]

Answer:

f(2) = 9

Step-by-step explanation:

It's give in the question,

Two different functions are,

f(x) = 4x + 1

g(x) = -2x

Then we have to find the output value of function 'f' for the input value x = 2.

By substituting the value of x in the function 'f',

f(2) = 4(2) + 1

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5 0
3 years ago
A cuboid has a square base.
padilas [110]

The length of one side of the square base is 8.5 centimeters.

<u>Given the following data:</u>

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To find the length of one side of the square base:

Mathematically, the volume of a cuboid is given by the formula:

Volume = Base \; area × Height

Substituting the given values, we have:

867 = Base \; area × 12

Base\;area = \frac{867}{12}

Base area = 72.225 cm^2

Now, we can find the length by using the formula:

Area \;of\;a \;square = length^2

72.25 = length^2

Length = \sqrt{72.25}

<em>Length</em><em> = </em><em>8.5 centimeters</em>.

Therefore, the length of one side of the square base is 8.5 centimeters.

Find more information: brainly.com/question/11037225

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Dima020 [189]

Answer:

-2.7  g/min

Step-by-step explanation:

Given: a graph

To find: the average rate of change of the amount of the element over the 10-minute experiment

Solution:

A rate of change of one quantity with respect to another quantity is known as rate of change. If y is the dependent variable and x is the independent variable then average rate of change = change in y /change in x.

From the graph,

change in x (time) = 10-0=10 minutes

change in y ( amount of the element) = 3.22-30=-26.78 g

So, average rate of change = \frac{-26.78}{10} =-2.7  g/min

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