The distance on a numberline from -10 to 3 is equal to 5x-12.

Mathematics

1 answer:

Viefleur [7K]3 years ago

6 0

Answer:

13
x = 5

Step-by-step explanation:

To find the total distance, we can add.

10 + 3 = 13

Now, we can use 13 to solve for the equation that is the same.

5x - 12 = 13

5x = 25

x = 5

Best of Luck!

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One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times sm

sergey [27]

One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle. Then the lines are parallel

<h3><u>Solution:</u></h3>

Given that, One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle.

We have to prove that the lines are parallel.

If they are parallel, sum of the described angles should be equal to 180 as they are same side exterior angles.

Now, the 1st angle will be 1/6 of right angle is given as:

$\begin{array}{l}{\rightarrow 1^{\text {st }} \text { angle }=\frac{1}{6} \times 90} \\\\ {\rightarrow 1^{\text {st }} \text { angle }=15 \text { degrees }}\end{array}$