Answer:
m < 1 = 72
Step-by-step explanation:
Since we know that line l and line m are parallel and that p is one of their transversals, it sets up a situation where we can identify which angles are congruent (equal) to one another according to their positions.
In this case, we can see that < 3 and < 1 are in the same matching corners created by the transversal. When angles are in the same matching corners they are called corresponding angles - and according to the Corresponding Angles Postulate, corresponding angles are congruent.
Therefore, m < 3 = m < 1, and since it's given that m < 3 = 72, we know that m < 1 = 72 too.
You only need to flip the inequality if you multiply or divide the inequality by a negative number.
-3t + 7 ≥ 9
Subtract both sides by 7.
-3t + 7 - 7 ≥ 9 - 7
-3t ≥ 2
Divide both sides by -3.
-3t / -3 ≥ 2 / -3
t ≤ 2/-3
So, yes, you will need to flip around the inequality sign.
Answer:
We have the value as 3m-7
Step-by-step explanation:
It is given that we have the real number m. Now we are required to find the simplified form or the value of the expression: ![8 + 3(m - 5)](https://tex.z-dn.net/?f=8%20%2B%203%28m%20-%205%29)
Thus we can write it as:
![8 + 3(m - 5)\\=8 + 3m-3\cdot \:5](https://tex.z-dn.net/?f=8%20%2B%203%28m%20-%205%29%5C%5C%3D8%20%2B%203m-3%5Ccdot%20%5C%3A5)
Here we have to use the property:
![a\left(b-c\right)=ab-ac](https://tex.z-dn.net/?f=a%5Cleft%28b-c%5Cright%29%3Dab-ac)
So now we have:
![8 + 3m-3\cdot \:5\\=8+3m-15\\=3m-7](https://tex.z-dn.net/?f=8%20%2B%203m-3%5Ccdot%20%5C%3A5%5C%5C%3D8%2B3m-15%5C%5C%3D3m-7)
So this is the required final value of the expression.
We have a system of equations 2x - 4y = 5 and 6x - 3y = 10.
We want to eliminate one variable when we add up the equations.
If we want to eliminate the x variable, we need to multiply the top, bottom or both of the equations with a number that when the equations are added together will eliminate the x variable.
Multiply the top equation by -3.
-3(2x - 4y) = 5 * -3
-6x + 12y = -15
Now when we add the two equations together, the x's will be eliminated.
-6x + 12y = -15
6x + 6y = 10
18y = -5
The x's were eliminated.