Answer:
62 degrees
Step-by-step explanation:
Since lines i and k are parallel, angle b and h are interior angles and are equal to each other. Set up the equation by setting the two equal to each other.
8x-34=5x+2
Subtract 5x from both sides. (it cancels on the right side)
3x-34=2
Add 34 to both sides. (cancels on the left side)
3x=36
Divide both sides by 3.
x=12
Now plug it into either equation since they are equal. I'm gonna use the one for angle h so that it's less confusing.
5(12)+2
60+2
62
The measure of angle h is 62 degrees.
Answer:
B
Step-by-step explanation:
Answer:
6000 in³
Step-by-step explanation:
To solve this problem, we simply have to find the volume of the shipping container that will be just enough to contain the 20 soda boxes.
To do this, we find the volume of each soda box and multiply it by the total number of soda boxes held by the shipping container.
Volume of the box = L * B * H
L = length = 15 in
B = breadth = 4 in
H = height = 5 in
V = 15 * 4 * 5 = 300 in³
This is the volume of each soda box.
The volume of 20 soda boxes will then be:
V = 20 * 300 = 6000 in³
This is the volume of 20 soda boxes and hence, the minimum size the shipping container can be.
Answer:
y = 6 when x = 18
Step-by-step explanation:
The appropriate formula for this direct proportion is y = kx, where k is the constant of proportionality.
We know y = 3 when x = 9: 3 = k(9)
This yields k = 3/9, or k = 1/3
Then the formula is y = (1/3)x
and when x = 18, y = (1/3)(18) = 6
y = 6 when x = 18
Answer:
12 cubes
Step-by-step explanation:
If the total volume of the box is 24 cm³ and the volume of each cube is 1 cm³ then that means that 24 total cubes can fit perfectly inside the box. Since there can only be two layers of cubes then we simply need to divide the total amount of cubes that will fit in the box by 2 to find the number of cubes in each layer...
24 / 2 = 12 cubes
Finally, we can see that each layer within the box will contain 12 cubes
