The numbers of choices in each category are multiplied together. We assume the order of paint choices matters: using color 1 in area A and color 2 in area B is not the same as using color 2 in area A and color 1 in area B.
P(7,2)*4*3*2 = 42*4*3*2 = 1008 ways
_____
P(n, k) = n!/(n-k)!
P(7, 2) = 7*6 = 42
Answer:
B. 31.62
Step-by-step explanation:
First, find the distance of the line using the distance formula, 
. Plug the two points (-1,0) and (5,2) into the formula and solve. This gives you 6.32, then this is only one line of a pentagon, which has 5 sides, so you need to multiply. Since you are finding the perimeter, which is all of the sides added together, multiply the one side by 5. 6.32*5=31.62.
Answer:
The slope is 2/1.
Step-by-step explanation:
y2 - y1 /x2 - x1
6 - 4/ 2 - 1
2/1
M<GJI=(x+60)°=?
We need to find x. The angle GJI and FJH are opposite by the the vertex, then they must be congruents:
(x+60)°=(5x)°
x+60=5x
Solving for x
x+60-x=5x-x
60=4x
60/4=4x/4
15=x
x=15
Replacing x by 15 in m<GJI:
m<GJI=(x+60)°=(15+60)°→m<GJI=75°
Answer: Option b. 75
