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:
The probability is 9.80%.
Step-by-step explanation:
The u.s. senate consists of 100 members, 2 from each state.
A committee of five senators is formed.
P(at least one from Your state) = 1- 
= 1- 
= 
= 0.098
That is, 9.80%.
Answer:
The measure of arc EF = 41°
Step-by-step explanation:
Given:
Arc DE = 73°

Now, we know from central angle theorem that the measure of central angle by an arc is twice that of the angle made by the same arc at the circumference. Therefore,

Now, we know that sum of all arcs on a circle is equal to 360°.
Therefore, arc DGF + arc DE + arc EF = 360°

Therefore, the measure of the arc EF is 41°.
Answer:
Step-by-step explanation:
1a) use letter "P" for perimeter
1b) use letter "L" or "x"
1c) Formula: P=4L or P=4x
2) the formula for the perimeter of a square is P=4L or P=4x because to find the perimeter you have to add up all the sides, and for a square, all the sides are equal, so it is P=4L or P=4x.
Answer:
A
Step-by-step explanation:
the a and b i put on my triangles should be E and E'. sorry