Answer:
10 cm
Step-by-step explanation:
If we assume that DC is parallel to AB, then triangle DOC is similar to triangle AOB.
However, even with this assumption, there is not enough information in the diagram to solve for DO. We would also need to know the length of CO. Then we could write a proportion:
DO / (DO + 20) = CO / (CO + 24)
Edit: OD is 2 cm shorter than OC. If we call x the length of OD, then the length of OC is x+2.
Putting this into our proportion:
x / (x + 20) = (x + 2) / (x + 2 + 24)
x / (x + 20) = (x + 2) / (x + 26)
Cross multiply:
x (x + 26) = (x + 2) (x + 20)
Distribute:
x² + 26x = x² + 20x + 2x + 40
x² + 26x = x² + 22x + 40
4x = 40
x = 10
So the length of DO is 10 cm.
Answer:
The vertex is (4,-17)
Step-by-step explanation:
Answer:
1. k + 2 (or other way around, it doesn't matter)
2. PY or P×Y
3. 10 - z
Step-by-step explanation:
1. You are adding here, so you add the two terms together.
2. If we had the amount of rulers and how much they cost, we could multiply to find these. Since we don't, we just leave the two variables to be multiplied.
3. It is asking the difference between two numbers, meaning that you need to subtract. With these types of problems, you always use the first number that appears in the problem to start the expression. For instance, if it had listed z first, then you would have done z - 10.
1. 44
2. 126.854
3. 9 5/12
4. so 0.00635
5. 5*5*11
6. 704
7. 4
8. 8,3'9
9. $1296
10. absolute value meas that whatever the result is in between the abolute value signs you make it positive so if 2-3 wer in absolute value signs the answer would be +1
11. prime 2=2
12. composite 9=3*3
13. prime 29=29
14. composite 51=3*17
15. composite 77=
16. prime 101=101
17. composite 231=3*7*11
18. composite 4924=2*2*1231
19. prime 1=1
20. prime 31=31