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:
4x2−24x4x2-24x
Factor 4x4x out of 4x24x2.
4x(x)−24x4x(x)-24x
Factor 4x4x out of −24x-24x.
4x(x)+4x(−6)4x(x)+4x(-6)
Factor 4x4x out of 4x(x)+4x(−6)4x(x)+4x(-6).
4x(x−6)4x(x-6)
4x2−24x4x2-24x
Step-by-step explanation:
tried
Answer:
The first blank is m, the rest aren’t very clear
Step-by-step explanation:
It would most like be $43 with tax if I’m not mistaken
First one single solution second no solution 3rd one single forth one infinity and last 2 are single and infinity