Answer:
A. JK = 12, JK is parallel to LM
D. JK = 8, JM = 12
Step-by-step explanation:
Based on the given figure above, the additional facts that would guarantee that JKLM is a parallelogram are answers A and D.
By definition, a parallelogram is a figure that has opposite sides parallel or it has two pairs of sides that are parallel.
Given:
Cone shape: radius = 24 cm ; height = 6cm
Cylinder: radius = 16cm
We need to find the volume of each shape.
Volume of a cone = π r² h/3 = 3.14 * 24² * 6/3 = 3.14 * 576 * 2 = 3,617.28
Volume of a cylinder = π r² h
3,617.28 = 3.14 * 16² * h
3,617.28 = 3.14 * 256 * h
3,617.28 = 803.84 h
3,617.28 / 803.84 = 803.84h/803.84
4.5 = h
The height of the cylinder is 4.5cm
Just "plug n chug" as my teacher would say. In other words, replace the letters with the values.
Choice A is (7,19) which means x = 7 and y = 19. Let's replace the x and y value with these numbers in both equations. If we get a true equation, then we found the answer.
2x-y = -5
2*7-19 = -5
14-19 = -5
-5 = -5 ... true
So that works. Let's try the other equation
x+3y = 22
7+3*19 = 22
7+57 = 22
64 = 22 ... false
So choice A is NOT the answer because of this. Let's try out choice B
2x-y = -5
2*4-9 = -5
-1 = -5 ... false
so B doesn't work either. How about C?
2x-y = -5
2*8-21 = -5
-5 = -5 ... that works
x+3y = 22
8+3*21 = 22
71 = 22 ... but this is false
So D has to be the answer. Let's check to confirm or not
2x-y = -5
2*1-7 = -5
-5 = -5 ... true
x+3y = 22
1+3*7 = 22
22 = 22 ... true
BOTH equations are true at the same time so (1,7) is definitely the final answer
Answer:
The answer is A. y =32x + 15
Step-by-step explanation:
The reason behind this is the rate. The amount of money each month is the slope (m). The additional fee would be the b.
