Answer:

Step-by-step explanation:
Method #1
We can draw a <em>right triangle</em> on the graph upon where the points are located and use the Pythagorean Theorem:





* Whenever we talk about distance, we ONLY want the NON-NEGATIVE root.
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Method #2
Or, we can use the Distance Formula:
![\sqrt{[-x_1 + x_2]^{2} + [-y_1 + y_2]^{2}} = D](https://tex.z-dn.net/?f=%5Csqrt%7B%5B-x_1%20%2B%20x_2%5D%5E%7B2%7D%20%2B%20%5B-y_1%20%2B%20y_2%5D%5E%7B2%7D%7D%20%3D%20D)
<em>B</em>[7, 10] <em>A</em>[13, 2]
![\sqrt{[-2 + 10]^{2} + [-13 + 7]^{2}} = D](https://tex.z-dn.net/?f=%5Csqrt%7B%5B-2%20%2B%2010%5D%5E%7B2%7D%20%2B%20%5B-13%20%2B%207%5D%5E%7B2%7D%7D%20%3D%20D)
![\sqrt{8^{2} + [-6]^{2}} = D](https://tex.z-dn.net/?f=%5Csqrt%7B8%5E%7B2%7D%20%2B%20%5B-6%5D%5E%7B2%7D%7D%20%3D%20D)



* Whenever we talk about distance, we ONLY want the NON-NEGATIVE root.
** You see? It does not matter which method you choose, as long as you are doing the work correctly.
I am delighted to assist you anytime.
1/2x + 42 = 4x
-1/2x -1/2x
------------------------
42 = 3.5x
/3.5 /3.5
------------------------
12 = x
the number is 12
explanation: 42 more than 1/2 of a number can be written as 1/2x + 42
four times a number can be written as 4x.
42 more than 1/2 of a number is equal to 4 times a number. So 1/2x + 42 = 4x.
Hope this helps :)
Answer: 192
Step-by-step explanation:
48/6= 8 and 192/24= 8
Answer:In geometry, an angle measure can be defined as the measure of the angle formed by the two rays or arms at a common vertex. Angles are measured in degrees ( °), using a protractor. Fun Facts. The protractor was invented by Joseph Huddart in 1801. It was a more complex form of protractor.
Step-by-step explanation: