Given:
A figure ABCP.
To find:
The measure of CP.
Solution:
In triangles ABP and CBP,
(Given right angles)
(Given)
(Common side)
Now,
(By AAS property of congruence)
We know that the corresponding parts of congruent triangles are congruent.


Therefore, the measure of CP is 8 units.
Answer:

Step-by-step explanation:
Given



Required
Determine the probability of selecting two fakes
The probability can be represented as thus: 
Using the following probability formula, we have:

Each probability is calculated by dividing number of fakes by total number of gems:

The minus 1 (-1) represent the numbers of fake and total gems left after the first selection




<em>Hence, the required probability is approximately 0.504</em>
Answer:
$40.86
Step-by-step explanation:
just multiply 49.99 times 0.15 then multiply 49.99 times 0.10 then add those together to get 12.49 then multiply 49.99 times 0.0675 to get 3.37 then subtract 12.49 from 49.99 then add 3.37 to that so like
(49.99 - 12.49) + 3.37 = 40.86
Answer:
Took the test on K12 and your answer would be 5.21
Step-by-step explanation: