Our goal is to solve for x
We will first add 7 to both sides
9x = 27
We will then divide both sides by 9
x = 3
Answer:
(-1,2)
Step-by-step explanation:
The solution to the system graphed is where both of the lines intersect. That's because the intersecting point means that when you substitute x into both of the equations, you'll get the same y value.
If you look on the graph, the intersecting point is (-1,2)
The answer is: 2(m+1)
First combine like terms.
<em>we do 6m-4m which is 2m</em>
2m+2=?
Second we factor. We notice that both terms have 2.
2(m+1)
<em>by distributive law, the 2 is distributed to m and 1.
</em>
(a) One unique triangle. This is an equilateral triangle since all sides are the same length. Through the SSS property, we can prove that only one triangle is possible here.
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(b) Cannot make a triangle. The triangle inequality theorem says that adding any two sides of a triangle must result in a value larger than the third side. Add up the first two sides (1 and 2) to get 1+2 = 3, which is not larger than the third side (3 units long). I recommend cutting out strips of paper that are 1 inch, 2 inches and 3 inches long, and trying to form a triangle. You'll find that a triangle is not possible. The 1 inch and 2 inch strips will line up to form a straight line that is 3 inches long, and basically you have a flat line (or a triangle with area 0)
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(c) More than one triangle. The angles add up to 180 since 35+60+85, so we can form a triangle. It turns out we can form infinitely many of them. The AA (angle angle) similarity theorem allows us to scale any triangle to make it larger or smaller compared to the original.
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(d) Cannot make a triangle. I'm assuming the 509 should actually be 50°. If so, then a triangle is not possible because the three angles (50, 50, 50) do not add to 180. We have instead 50+50+50 = 150. For any triangle, the three angles must always add to 180 degrees.
One way to I solve this is by listing all the ways it can be multiplied by:
72: 1*72, 2*36, 3*24, 4*18, 6*12, 8*9.
80: 1*80, 2*40, 4*20, 5*16, 8*10.
Group the factors that they have in common.
Which are 1, 2, 4, and 8.
After that, find the greatest common factor that they both share.
Answer: 8
