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:
Option A - 32 cm³
Step-by-step explanation:
Volume of a pyramid is given by the formula :
V = 
Substituting values given gives us :
V = (4)(4)(6)/3
V = (16)(6)/3
V = 96/3
V = 32
Units will be cm³ as this is volume
Hope this helped and have a good day
Its point P because the lines between 1 and 2 are 1/4 2/4 and 3/4 and its looking for 1 1/4 so the correct is the line after number 1 on the x axis and the y axis is 2 which you can see p is located it
Answer: 3,19 which is larger than the original
Step-by-step explanation: if you consider that the original average is 3 you can say that all 25 students have 3 siblings so the average is 3, if you add another students with 8 siblings and do some math (25*3+8)/26 its 3,19
Answer:
7-5m/m
Step-by-step explanation:
