Answer:
(4, ``6)
Step-by-step explanation:
The midpoint formula is
((x sub 2 - x sub 1)/2, (y sub 2 -y sub 1)/2). As shown, its written like a coordinate
Your x sub 1 is the x-coordinate of your first coordinate pair, and the rest follow the same pattern.
So, (5-(-3)/2, 8-(-4)/2)
5-(-3)=5+3=8
8-(-4)=8+4=12
(8/2, 12/2)
(4,6)
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
(-2)^4=16
(-2)^-1=-1/2
-1/2x16=-8
Answer: -8
Answer:
I Believe Grace Is Dead Dreamer?!
Step-by-step explanation: