Answer:
<KJM and <IJH
Step-by-step explanation:
Those are supplementary angles because when put together they give you an angle of 180°
Answer:
h = 8
Step-by-step explanation:
The formula for the volume of a prism is:
V = l x w x h
In this case, both your length and width are the same (8in).
You plug the numbers into the formula to get:
512 in³ = 8 in · 8 in ·h
512 = 64 · h
h = 8
Also, while the figure doesn't say to scale, it looks like a cube. So I probably would've went ahead and tried 8³ to see if it worked out lol!
Good luck ~
Answer:
(x,y) = (
,
)
Step-by-step explanation:
We have to find point of intersection of two lines.
the given equations of line are:
10x - 4y = 43 - (1)
-3x - 3y = -15 - (2)
Multiplying the first equation by 3 we have:
(10x - 4y = 43)×3 = 30x - 12 y = 129 - (3)
Multiplying second equation by 10 we have :
(-3x - 3y = -15)×10 = -30x -30y = -150 - (4)
Now, adding equation (3) and (4) we have:
-42y = -21
⇒ y =
Now, putting this value of y in equation (1), we have
10x - 2 = 43
⇒ 10x = 45
⇒x =
Hence, the intersection of given two lines is (x,y) = (,)
Answer: 19.5 gallons
Step-by-step explanation:
Hi, to answer this question, we have to use proportions:
Nathaniel buys 28 gallons of gas for $56, so the proportion is:
$56 / 28 gallons.
For $39:
$39 / x gallons
Solving for x (number of gallons)
56/28 = 39/x
x = 39 / (56/28)
x = 19.5 gallons
Feel free to ask for more if needed or if you did not understand something.
