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2 years ago

Solve for X, and show the equation you would use to solve.

Mathematics

1 answer:

kompoz [17]2 years ago

7 0

Answer:

x = 20

Step-by-step explanation:

There are both consecutive interior angles and are supplementary.

The equation should be written like this:

5x + 50 + x + 10 = 180

Step 1: Simplify both sides of the equation.

5x + 50 + x + 10 = 180

(5x+x) + (50+10) = 180 (Combine Like Terms)

6x + 60 = 180

Step 2: Subtract 60 from both sides.

6x + 60 − 60 = 180 − 60

6x = 120

Step 3: Divide both sides by 6.

$\frac{6x}{6} = \frac{120}{6}$

x = 20

Hope it helps!!

You might be interested in

Which ratio is different? 3 : 7 3 to 7 3/7 7 to 3

Masteriza [31]

Answer:

7 to 3 is this answer

Step-by-step explanation:

if you noticed, with all the other ones they all have 3 : 7 in it. So by the process of elimination it's 7 to 3 that is different. I'll tell you why,

3 : 7, that is the ratio we have as an example. That's why it isn't the different one.

3 to 7, you say 3 : 7 as 3 to 7 to it still has the same ratio

3/7, this is how to type the fraction version of the ratio so it makes sense that it is the same one as 3 : 7.

7 to 3, if you haven't noticed yet, all of them has 3 : 7 as a counterpart. They are all the same but this one, this is 7 : 3 or 7 to 3. So with logic, this is the different ratio.

5 0

3 years ago

The frequency table was made using a box containing slips of paper. Each slip of paper was numbered 0, 1, 2, 3, or 4.

inna [77]

In order to make a frequency plot first we need to find the proportion of each outcome.

Total number of results = 15+20+5+5+5 = 50

Frequency of 0 = 15
Proportion of 0 = 15/50 = 0.3

Frequency of 1 = 20
Proportion of 0 = 20/50 = 0.4

Frequency of 2 = 5
Proportion of 2 = 5/50 = 0.1

Frequency of 3 = 5
Proportion of 3 = 5/50 = 0.1

Frequency of 4 = 5
Proportion of 4 = 5/50 = 0.1

Now we need to plot the data on a frequency plot. The x-axis shows the outcomes from 0 to 4 and y-axis shows the frequency of each outcomes. The frequency plot is shown in the figure attached with.

4 0

3 years ago

Read 2 more answers

What is the numerator of the simplified sum?

sashaice [31]

Answer:

4x + 6

Step-by-step explanation:

$\frac{x}{x² + 3x + 2} + \frac{3}{x + 1}$

To determine what the numerator would be, after simplifying both fractions, take the following steps:

Step 1: Factorise the denominator of the first fraction, x² + 3x + 2.

Thus,

x² + 2x + x + 2

(x² + 2x) + (x + 2)

x(x + 2) +1(x + 2)

(x + 1)(x + 2)

We would now have the following as our new fractions to add together and simplify:

$\frac{x}{(x + 1)(x + 2)} + \frac{3}{x + 1}$

Step 2: find the highest common factor of the denominator of both fractions.

Highest common factor of (x + 1)(x + 2) and (x + 1) = (x + 1)(x + 2)

Step 3: To add both fractions, divide the highest common factor gotten in step 2 by each denominator, and then multiply the result by the numerator of each fraction.

Thus,

$\frac{x}{(x + 1)(x + 2)} + \frac{3}{x + 1}$

$\frac{x + 3(x + 2)}{(x + 1)(x + 2)}$