Answer:
Explanation:
2. DF = 9, and DE = 5. Find EF.
Well, 9 - 5 = 4, so EF = 4.
3. XZ = 22 Find YZ.
The two segments are equal, so each would equal 11.
So, YZ = 11.
6. GH = 18, FH = 30. Find FG.
Since the whole thing equals 30, and we're given that one segment is equal to 18, we'd subtract the two numbers.
30 - 18 = 12.
So, FG = 12.
7. AD = 27, Find BC.
Well, we're given that AB = 6 and CD = 11, so we'd add those two to get 17.
Now, all we need is BC. Since the whole thing is equal to 27, we'll subtract the two numbers:
27 - 17 = 10.
So, BC = 10.
8. EF = GH, FH = 32. Find EF.
Well, we're given that FG = 24, and FH as a whole is equal to 32, so we'll subtract the two to find GH.
32 - 24 = 8
So, GH equals 8, and since the equation said that EF = GH, EF would equal 8 as well.
9. JL = 21. Find x.
We're given that JK = 2x, and KL equals x.
So, the equation will look like this:
2x + x = 21
Combine like terms.
3x = 21
Divide both sides by 3.
x = 7
11. QS = 30. Find RS.
We're given that QR = x, and RS = 7x + 6
So, we'll set it up like this:
x + 7x + 6 = 30
Combine like terms.
8x + 6 = 30
Subtract 6 from both sides.
8x = 24
Divide both sides by 8.
X = 3
Then, we'll substitute in 3 for x to find RS:
7(3) + 6
21 + 6
RS = 27
13. B is between A and C. AB = 24, BC = 9. Find AC.
We'll just add the two numbers.
24 + 9 = 33
AC = 33.
15. R is the midpoint of QS. RS = 18. Find QS.
Both sides will be equal then if R is the midpoint.
So, if one side equals 18, the other will too.
18 + 18 = 36
QS = 36.