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
A variable by itself doesn't have a co efficient
Answer:
roam
Step-by-step explanation:
free points
Answer:
20 square meters
Step-by-step explanation:
area = length x width
area of grass = 4 x 4 = 16
area of grass and cement = 6 x 6 = 36
<em>Now you subtract to find the area of the cement.</em>
36 - 16 = 20
Answer:
-1/root2
Step-by-step explanation:
7pi/4 radians is the same as -pi/4 radians
sin(-pi/4) is -sin(pi/4) = -1/root2
