Answer:
![m =-4](https://tex.z-dn.net/?f=m%20%3D-4)
Step-by-step explanation:
Given
![p(m-3 , -6) = p(-7 , -6)](https://tex.z-dn.net/?f=p%28m-3%20%2C%20-6%29%20%3D%20p%28-7%20%2C%20-6%29)
Required
Find m
![p(m-3 , -6) = p(-7 , -6)](https://tex.z-dn.net/?f=p%28m-3%20%2C%20-6%29%20%3D%20p%28-7%20%2C%20-6%29)
By comparison:
![m-3 = -7](https://tex.z-dn.net/?f=m-3%20%20%3D%20-7)
Add 3 to both sides
![m = -7+3](https://tex.z-dn.net/?f=m%20%3D%20-7%2B3)
![m =-4](https://tex.z-dn.net/?f=m%20%3D-4)
Answer:
The value of a is 8
Step-by-step explanation:
If the three lines are collinear, they all lie on the same line
So let us have the equation of a line that passes through the known ends
the slope will be;
m = (6-2)/(3 + 5) = 4/8 = 1/2
The general form is;
y = mx + b
so, we have
y = 1/2x + b
To get b, we use any of the two known points
6 = 3/2 + b
b = 6-3/2
b = (12-3)/2 = 9/2
So the equation of the line is;
y = 1/2x + 9/2
Multiply through by 2
2y = x + 9
So for the point , to get a , we have that
2(a) = 7 + 9
2a = 16
a = 16/2
a = 8
The correct answer (the one that isn't true) is the last one, "angle 1 and angle 2 are equal"
Answer:
VRT AND WRS
Step-by-step explanation:
it's not possible for the others to be vertical angles like VRU and TRS are not the same on opposite sides.
The mistake is that Francine divided 80 by 4 instead of 86. She could correct her work by dividing 86 by 4