An outside angle of a triangle is equal to the sum of the two opposite inside angles.
Using the information in the picture, 132 is an outside angle and x and (3x-24) are the two opposite inside angles.
Setting up the equation you would have: 132 = x + (3x-24)
Now solve for x:
132 = x + (3x-24)
Simplify:
132 = 4x -24
Add 24 to both sides:
156 = 4x
Divide both sides by 4:
x = 156/4
x = 39
Answer:
Six
Step-by-step explanation:
Find the greatest common factor of each number.
Factors of 30 = 1, 2, 3, 5, 6, 10, 15, 30
Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24
The greatest common factor of 30 and 24 is 6.
Jane can make six fruit baskets if she divides the fruit evenly among them.
Answer: 28.26
Step-by-step explanation:
Formula : 
or
Answer:
for soln 1: X < -2; for soln 2: X < 1
Step-by-step explanation:
This is two set problem involving inequality. Therefore, you have to solve for each side of the inequality to know the values of X for each sides.
1 < X + 3 < 4
Soln 1. solve for the first side of the inequality
1 < X + 3
1 - 3 < X
-2 < X
X > -2
soln 2: solve for the second side of the inequality
X +3 < 4
X < 4 - 3
X < 1
Therefore, X > -2; X < 1
translates to 
translates to 