Answer:
24 steps
Step-by-step explanation:
Given
Required
The total number of experimental outcomes (n)
This calculated by multiplying the results in each step.
Simplifying
8.7 = 3.5m + -2.5(5.4 + -6m)
8.7 = 3.5m + (5.4 * -2.5 + -6m * -2.5)
8.7 = 3.5m + (-13.5 + 15m)
Reorder the terms:
8.7 = -13.5 + 3.5m + 15m
Combine like terms: 3.5m + 15m = 18.5m
8.7 = -13.5 + 18.5m
Solving
8.7 = -13.5 + 18.5m
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-18.5m' to each side of the equation.
8.7 + -18.5m = -13.5 + 18.5m + -18.5m
Combine like terms: 18.5m + -18.5m = 0.0
8.7 + -18.5m = -13.5 + 0.0
8.7 + -18.5m = -13.5
Add '-8.7' to each side of the equation.
8.7 + -8.7 + -18.5m = -13.5 + -8.7
Combine like terms: 8.7 + -8.7 = 0.0
0.0 + -18.5m = -13.5 + -8.7
-18.5m = -13.5 + -8.7
Combine like terms: -13.5 + -8.7 = -22.2
-18.5m = -22.2
Divide each side by '-18.5'.
m = 1.2
Simplifying
m = 1.2
The answer is The second choice (B)
Answer:
The image will be congruent to ΔMNP.
Line EG will be perpendicular to the line segments connecting the corresponding vertices.
The line segments connecting corresponding vertices will all be parallel to each other.
Step-by-step explanation:
The reflected image will be the mirror image of ΔMNP, so it will be congruent. The lines connecting each vertex to the corresponding vertex will be parallel, and all three lines are perpendicular to EG.
It would be helpful to draw out a diagram but I'll explain in words.
We start at 0, ground level.
Then up a 100 metre hill, so now we are at 100m.
It plunges down 72, so we take away 72 to get 28m.
Then it takes them back up 48m, so we add 48 to get 76m.
That means that they are 76m above from where they started, ground level.
Hope I helped!
