<u>Given</u>:
Given that the triangles ABD and CAD are similar.
The length of AB is 12.
The length of BD is x.
The length of AC is 27.
We need to determine the value of x.
<u>Value of x:</u>
Let us use the leg rule to determine the value of x.
Thus, we have;

Substituting the values, we get;

Cross multiplying, we get;


Dividing both sides by 27, we have;

Thus, the value of x is 
Hence, Option D is the correct answer.
Answer:
1/6
Step-by-step explanation:
A six sided die has 6 options, you can roll a 1,2,3,4,5,6. You cannot "remove" numbers and with a single die, you can't roll anymore than one number at a time. 2 is one option out of 6, therefore your answer is 1/6.
Answer:
B.
Step-by-step explanation:
For reference, the median for housecats is 11 and the median for small dogs is 9. So, by process of elimination, B is the correct answer.
The answer to the problem is 8
Answer:
2/(x-3) = 4. 4x-12 = 2. x=7/2. G) 7/(2x+5) = 2/3. 21 = 4x + 10. x = 21/4. H) 7/(x-9) = 5. 7 = 5x-45. x = 52/5
Step-by-step explanation: