9514 1404 393
Answer:
Step-by-step explanation:
Let k represent Kim's age. Then Jack's age is k-5 and the total of their ages is ...
k + (k -5) = 21
2k = 26 . . . . . . . add 5, collect terms
k = 13 . . . . . . . . . divide by 2; Kim's age
k -5 = 8 . . . . . . . Jack's age
Kim is 13; Jack is 8.
The length of OM is 4/3 the length of OJ, and the length of ON is 4/3 the length of OK. Thus, two pairs of sides from the triangles are proportional to each other.
Also, angle O from one of the triangles is equal to angle O of the other triangle because they are the same angle.
Thus, the two triangles are similar by SAS (side-angle-side) similarity theorem. This theorem is quite similar to the SAS congruence theorem.
To make a similarity statement, we just have to match corresponding parts when naming the triangle.
Similarity statement: ΔOJK~ΔOMN
Answer:
D
Step-by-step explanation:
Since you are trying to make x on its own, you are trying to get rid of the co-efficient. The co-efficient is three, so you divide 3 by 3, which would equal one, leaving x on its own. Whatever you do to one side you do to the other, so you would divide 27 by 3 as well.
x = 9
The first cube can land in any one of 6 ways.
The second cube can land in any one of 6 ways.
Total number of ways that 2 dice can land = (6 x 6) = 36 ways.
For any of these ways, the sum of the numbers rolled is 9 :
3, 6
4, 5
5, 4
6, 3
There are 4 ways to roll a 9, out of a total of 36 ways that
the dice can land. So the probability of rolling a 9 is
4 / 36 = 1 / 9 = <em>11-1/9 percent</em>
Answer:
you are only rolling 1 dice the probability of getting 9 is 0 there are only 6 sides to one die
