Which expression is equivalent to 1/2 (2+ 3x – 6)?
3x - 5
3/2x - 5
3x – 4
3/2x - 2
The Answer Is B
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
-2a
Step-by-step explanation:
steps:1. first write the question again : 8ab/-4b
2.first 8 divide by -4=-2
3.write ' a' with -2because u don't have another 'a' down belowso that u can pair it up and cancel
so: -2a.
4. cancel 'b' on top and 'b' at the bottom.
Answer:
12 windows
Step-by-step explanation:
Number of windows broken = 40% of 30
