Answer:
AC
Step-by-step explanation:
First, let's find m∠B and m∠C by solving for x. Since the sum of interior angles in a triangle is 180°, we know that:
60 + 3x - 2 + 2x + 7 = 180
5x + 65 = 180
5x = 115
x = 23° so m∠B = 3(23) - 2 = 67° and m∠C = 2(23) + 7 = 53°. The longest side of a triangle is always opposite to the largest angle of the triangle, and since m∠B is the largest, we know that the side opposite to ∠B is the longest. That side is AC.
Answer:
The GCF is 12t
Step-by-step explanation:
Here, we want to calculate the greatest common factor of the given polynomials
To do this, we need to write each as the product of its prime factors
We have this as;
48t = 2 * 2 * 2 * 2 * 3 * t
60st = 2 * 2 * 3 * 5 * s * t
we then bring out pairs of similar terms
So the GCF would be;
2 * 2 * 3 * t = 12t
Answer:
(-1, 3) and (1, 5).
Step-by-step explanation:
Remember that graphically, the solutions for a system of equations are all the points where the graphs intersect.
In the graph of the system of equations, we see that the they intersect once at (-1, 3) and again at (1, 5).
Therefore, our two solutions to the system are (-1, 3) and (1, 5).
A rational number is a number, which can be expressed as a fraction. Since 3 can be expressed as 3=31=62=124 and so on, it is a rational number
I'd start by listing out the multiplies of all three past 100, like this:
102, 104, 106, 108, 110, 112, 114, 116, 118, 120, 122, 124, 126, 128, 130
104, 108, 112, 116, 120, 124, 128, 132, 136
110, 120, 130, 140
Now it's just a matter of finding the number that is the same for all three of them, which is 120.
