Answer:
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
One property of a parallelogram is that diagonals bisect each other. This means that it "divides" each other in to two equal parts.
Since FK is 6, that means that KH is also 6.
Then you have to add both of those because FK and KH both make up the diagonal FH, FH is 12.
Answer:
x cubed minus y cubed is equal to 504
Step-by-step explanation:
First we need to know what the values of x and y are. We can do this pretty easily, by just solving both equations for x, and equating them to each other:
With the first:
x + y = 10
x = 10 - y
And with the other
x - y = 6
x = 6 + y
Now that we have two definitions of x, we can say that the expressions are equal, and solve for y:
10 - y = 6 + y
10 - 6 = y + y
4 = 2y
y = 2
And now that we know what y is, we can find x:
x = 10 - y
x = 10 - 2
x = 8
So x is equal to eight. We can check our answer by plugging x into the other equation and seeing if we get the same value for y:
x - y = 6
8 - y = 6
-y = 6 - 8
-y = -2
y = 2
So we know we solved that correctly.
Now if we cube each number, eight cubed is equal to 512, and 2 cubed is equal to 8. If we subtract the latter from the former we get 504.
so x cubed minus y cubed is equal to 504
Answer: 22.6°
Approximately: 23°
Step-by-step explanation:
Sin B = Opp/Hyp
Sin B = 5/13
Sin B = 0.3846
Inverse of Sin B
B = 22.6°
Approximately: 23°