Answer:
Angle 1 and angle 3 are congruent by Vertical Angle theorem. It can also be proven using reflection.
Step-by-step explanation:
Two line segments which intersect form one intersection point which has 4 angles from it. Angles 1 and 3 will be directly across from each other off this intersection point. Vertical Angle Theorem states these are congruent.
Angles can be reflected across this intersection point. Since reflection preserves size and shape, these two angles will land on one another and be the same angle.
Answer:
Here’s how you find the mean. Find the sum of all the data combined. Then divide the sum by how many numbers of data there are!!
Step-by-step explanation:
Answer:
<u><em>24,501.42 m³</em></u>
Step-by-step explanation:
Volume (cylinder) = πr²h
r = d/2 = 34/2 = 17 m
h = 27 m
V = 3.14 x 17 x 17 x 27
= 53.38 x 459
= <u><em>24,501.42 m³</em></u>
Answer:
You are correct. Remember: rise over run.
m = 
Answer:
bags of snack = x = 6
bottles of water = y = 5
Step-by-step explanation:
The system of equations can be used to determine how many of each item they bought.
20.00=2.50x+1.00y
11=x+y
how many bags of snack mix did they buy?
Let
bags of snack = x
bottles of water = y
20.00 = 2.50x + 1.00y (1)
11 = x + y (2)
From (2)
x = 11 - y
Substitute x = 11 - y into (1)
20.00 = 2.50x + 1.00y
20.00 = 2.50(11 - y) + 1.00y
20.00 = 27.5 - 2.50y + 1.00y
20.00 - 27.5 = -2.50y + 1.00y
-7.5 = -1.5y
y = -7.5/-1.5
y = 5
Substitute y = 5 into (2)
11 = x + y
11 = x + 5
11 - 5 = x
x = 6
bags of snack = x = 6
bottles of water = y = 5
