Hint: it will help to change all denominators to the same one using gcf or lcm
Step-by-step explanation:
- Since m∠ACM = 90°, then by angle addition, m∠ACP + m∠PCM = 90°.
- Since CP⊥ AM, then by definition of perpendicular, m∠APC = 90°. Since angles of a triangle add up to 180°, that means m∠PAC + m∠ACP = 90°.
- By substitution, m∠PCM = m∠PAC.
- Since m∠PCM + m∠CMP = 90°, then by substitution, m∠CMP = m∠PAC.
- Therefore, by AAA, △ACP and △CMP are similar.
Having proven that the triangles are similar, we can write the proportion:
AP / CP = CP / MP
9 / CP = CP / 16
CP² = 144
CP = 12
Now, we can simply use Pythagorean theorem to find the other sides.
AC² = AP² + CP²
AC² = 9² + 12²
AC = 15
CM² = CP² + PM²
CM² = 12² + 16²
CM = 20
Answer:
23/100 or 23/10
Step-by-step explanation:
2.3/1
(2.3 x 10) / (1 x 10) =23/10
find lcm (lowest common multiple) for 23 and 10
1 is the lcm for 23 and 10
23/10 is a simplest fraction for the decimal point number 2.3
Answer:
Okay?
Step-by-step explanation:
I think m a week or 2 late
Answer:
20
Step-by-step explanation:
The area of a circle is equal to pi*radius^2
We can then write this as
314.1592=π*r^2
We then divide pi to get
100=r^2
take the square root and you find that the radius equals around 10
The diameter is always equal to the radius times two which means that the diameter is 20
hope this helps
