About 10 to 12 students did not finish
First, let's put all of the variables together.
4m + 5m + 5 + 40 = 180.
Add them.
M is the same multiplier, so we can add 4 and 5 together to make 9m.
Add 5 and 40.
9m + 45 = 180.
From here, we can go two ways. I will show the first way, which is my personal preference.
We want to get rid of the coefficient on m to isolate it, so we must divide it by its coefficient. The coefficient on m is 9. So, divide m by 9. We must also divide everything else by 9.
9m/9 = 1m
45/9 = 5
180/9 = 20
Plug it in--
m + 5 = 20.
Subtract the 5 from both sides to isolate m.
m = 15.
Answer:
Q1: $1.2 Q2: 5 pens
Step-by-step explanation:
<span>Located at intersection of the angle bisectors. See Triangle incenter definition</span>
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Answer:
(X, Y, Z) = (-2, 3, 3)
Step-by-step explanation:
We can subtract the second equation from the first to get ...
Y -Z = 0
We can add the third equation to the first to get ...
Z = 3
Then ...
Y -3 = 0 ⇒ Y = 3
and ...
X -3 -2(3) = -11
X = -2 . . . . . . . . . add 9
The solution is ...
(X, Y, Z) = (-2, 3, 3)
