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:
the answer is d
Step-by-step explanation:
so for one do y-intercept has to be at (0,25) so we can eliminate answer choices B and C
the reason why it is not a is because a is moving out of constant rate of 25 when it needs to be moving at a constant rate like 10 D is the answer because it's moving at a constant rate of 10 and it has a y intercept of (0,25)
10 to the second power=100
74.75/100= .7475
Answer:
2
Step-by-step explanation:
4x^3 + 2 = 34
4x^3 = 32
x^3 = 8
x=2
The answer is x=11
4x-30=14
You add 30 to each side=4x=44
Then you divide 44 by 4 which=11
