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:
(0,-3)
Step-by-step explanation:
hi, with this we can just do substitution (substitute x for y+3)
6(y+3)-5y=15
evaluate
6y+18-5y=15
y+18=15
y=-3
then we plug that in
x=-3+3
x=0
Answer:
LHS.= Sin 2x /( 1 + cos2x )
We have , sin 2x = 2 sinx•cosx
And. cos2x = 2cos^2 x - 1
i.e . 1+ cosx 2x = 2cos^2x
Putting the above results in the LHSwe get,
Sin2x/ ( 1+ cos2x ) =2 sinx•cosx/2cos^2x
=sinx / cosx
= Tanx
.•. sin2x/(1 + cos2x)= tanx
Step-by-step explanation:
Answer:
<h2>$175 per week </h2>
Step-by-step explanation:
In this problem we are expected to calculate the amount Mary will save per week based on her 25% plan on her weekly earning of $700
hence we have to calculate 25% of $700 and that will be the answer to the problem
we have
weekly savings = (25/100)*700
weekly savings = 0.25*700
weekly savings= $175
<em>Hence Mary will save $175 per week if she follows the 25% plan of her weekly earnings</em>
Answer: I think its 4 + 2m
