Answer:
Hank = 9
Step-by-step explanation:
Let Sam = S
Let Hank = H
S + H = 24
S/H = 5/3 Cross multiply
3S = 5H
S = 5/3 * H
S + H = 24
(5/3)*H + H = 24
(5/3)*H + 3/3*H = 24
8/3 * H = 24
8/3 * 3/8 * H = 3/8 * 24
H = 9
Answer:

Step-by-step explanation:
We know that we have a 9 foot long ladder resting upon a wall, with an unknown height, but the ladder is 4.5 feet away from the wall.
This can be represented as a triangle, where x is the unknown side.
|\
| \
x | \ 9
| \
| \
|_____\
4.5
We can use The Pythagorean Theorem to find the value of x. The theorem states that
, where a and b are the lengths of the legs and c is the length of the hypotenuse.
However, we already know the hypotenuse and one leg. Therefore we can substitute inside the equation to find the missing value.

Hope this helped!
Answer:
Step-by-step explanation:
38.

37.

Answer:
its equals the same, the third one. this is very easy.
Answer:

Step-by-step explanation:
We are given that K is the midpoint of JL. Using this information, we want to find JL.
By the definition of midpoint, this means that:

Substitute them for their equations:

Solve for <em>x.</em> Subtract 8<em>x</em> from both sides:

Add 1 to both sides:

And divide both sides by 6. Hence:

JL is the sum of JK and KL. Hence:

Since JK = KL, substitute either one for the other:

Substitute JK for its equation:

Since we know that <em>x</em> = 2:

Thus:
