Answer:1
Step-by-step explanation:
-12 - 8(5)= -52
-6> -52
Answer:
they are congruent so 47 is also the measurement for its corresponding angle(aka the corner that doesn't have a variable)
and in a triangle, interior angles add to 180 so 47+x+y=180
90 + 43 = 133
+47= 180
so your answer is a
hope this helps!!
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)
[2, 7] [3, −3]
![\sqrt{[-3 + 2]^{2} + [3 + 7]^{2}} = D](https://tex.z-dn.net/?f=%5Csqrt%7B%5B-3%20%2B%202%5D%5E%7B2%7D%20%2B%20%5B3%20%2B%207%5D%5E%7B2%7D%7D%20%3D%20D)
![\sqrt{[-1]^{2} + 10^{2}} = D](https://tex.z-dn.net/?f=%5Csqrt%7B%5B-1%5D%5E%7B2%7D%20%2B%2010%5E%7B2%7D%7D%20%3D%20D)


** 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.
Answer:
840 courses
Step-by-step explanation:
One third of the people ate a two course meal: 105 people ate two course meals.
Two thirds of the people ate a three course meal: 210 people ate three course meals.
105X2 + 210X3 = 210 + 630 = 840 courses