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: A) movies for less cost $5 more
Step-by-step explanation:
10 × 3 =30
15 × 2= 30+10=40 movie plus
15 × 3= 45 movies for less
it’s the 3rd one. so.. 5/8
Use pi•r^2 for the formula of a circle. filling it in, you get 3.14•64 which is 200.96
Answer:
$11.08 to the nearest penny
Step-by-step explanation:
So I do it like
10.26 is 100 percent
We’re adding 8 percent so technically multiplying by 108
SO 10.26*108 is 11.08 to the nearest penny
It so much easier, easy 1 step
