Answer:
m ≥ 3
m is greather or equal to 3
Step-by-step explanation:
m + 4 ≥ 7
m ≥ 7 - 4
m ≥ 3
The correct slope is -5/2.
The formula for slope is
m = (y₂-y₁)/(x₂-x₁)
The y-coordinate of the second point is 0, and the y-coordinate of the first point is 2. The x-coordinate of the second point is 0.8 and the x-coordinate of the first point is 0:
m = (0-2)/(0.8-0) = -2/0.8 = -2 ÷ 8/10 = -2 × 10/8 = -2/1 × 10/8 = -20/8 = -5/2
Angles 2 and 6 are corresponding angles, which would explain why they are congruent if lines a and b are parallel, but there is nothing in the problem to explain that any of the angles equals 60 degrees since no measurements were given in the diagram.
Answer:
x=3
z=65
Step-by-step explanation:
6x+97 and 14x+73 are vertical angles which means they are equal
6x+97= 14x+73
Subtract 6x from each side
6x-6x+97= 14x-6x+73
97 = 8x +73
Subtract 73 from each side
97-73 = 8x+73-73
24 = 8x
Divide each side by 8
24/8 = 8x/8
3 = x
Now we need to find z
6x+97 and z are supplementary angles which means they add to 180
6x+97 +z = 180
6(3) +97 +z = 180
18+97+z=180
Combine like terms
115+z = 180
Subtract 115 from each side
115-115 +z=180-115
z = 65
