Question 1. If m∠5 = 115 degrees, find m∠1 = 115°
because they form corresponding Angle pair
Question 2. If m∠7 = 30 degrees, find m∠2 = 30°
because they form Alternate Exterior angle pair
Question 3. If m∠6 = 50 degrees, find m∠4 = 50°
because they form Alternate Interior Angle pair
Question 4. If m∠4 = 72 degrees, find m∠1 = 108°
because they form linear pair, their sum = 180°
Answer:
Alex will need 14 bags
Step-by-step explanation:
B= 4(2x+7)+3(2x+7)
and
2x+7=2
First, we should solve the second equation to obtain x:
2x+7=2
2x=2-7
x= -5/2
Then, we use this answer to calculate B:
B=4(2(-5/2)+7)+3(2)
B=4(-5+7)+6
B=4(2)+6
B=8+6
B=14
Alex will need 14 bags
36pi = 4/3 * pi * r^3
27 = r^3
r = 3 in
Answer:
10 cm
Step-by-step explanation:
The volume of a sphere is given by the formula ...
V = 4/3πr³
The volume of a cone is given by the formula ...
V = 1/3πr²h
The ratio of the volume of the cone to that of the sphere is ...
Vcone/Vsphere = (1/3πr²h)/(4/3πr³) = h/(4r)
In order for the ratio to have a value of 1, we must have ...
h = 4r
The height of the cone must be 4×2.5 cm = 10 cm to fit all of the ice cream.
Order of the people does not affect the total number of ways. Thus, we use combinations.
Total combinations: 20C5 = 15,504 ways.
