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:
I think its c I'm not sure
Answer:
b
Step-by-step explanation:
because it passes the vertical line test and A does not if you look at x = 1 there are 2 points along that point (1,3) (1,-1)
The missing step 2 should be;
The quantity of the sum of thirty six plus two divided by 0.5 − 14.8 ÷ 8
The missing step 6 would be that; 76 - 1.85
<h3>How to Solve Mathematical Order of Operations?</h3>
We want to know the steps to solving the expression the quantity of the sum of six squared plus two divided by the absolute value of negative 0.5 − 14.8 ÷ 8
This can be expressed as;
6² + 2 ÷ |-0.5| - 14.8 ÷ 8
Thus, the next step which is step 2 should be;
The quantity of the sum of thirty six plus two divided by 0.5 − 14.8 ÷ 8
The missing step 6 would be that;
76 - 1.85
Read more about Order of Operations at; brainly.com/question/27529825
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Answer:
44.2545
Step-by-step explanation:
you can find the third angle by taking 180-(90+55)=a
a=35
use law of sines
Sin(angle)/(opposite side of angle)=Sin(another angle)/(opposite side of another angle)
so, sin(a)/A=sin(b)/B
sin(35)/33=sin(55)/x
x=sin(55)/(sin(35)/33)
x=44.2545
Hope this helps :)