First calculate the Area of MOP by using congruent altitudes.
(Area MOP)/(Area AOM) = PO/OA = (Area BOP)/(Area AOB)
Area MOP = (Area AOM)*(Area BOP)/(Area AOB) = (45)*(15/75) = 9.
Now, let Area CMP = x. And use two sets of triangles with congruent altitudes.
(Area CMP)/(Area BMP) = x/(9+15) = x/24 = (CP)/(BP).
(Area CAP)/(Area BAP) = (x+54)/90 = (CP)/(BP)
So,
(Area CMP)/(Area BMP) = (Area CAP)/(Area BAP)
or
x/24 = (x+54)/90
90x = 24 (x+54) = 24x + 1296
66x = 1296
x = 19 
Answer:
$64.93
Step-by-step explanation:
All you have to do is multiply the amount of money by the percent (in this case, the decimal of 0.2):
324.65*0.2 = 64.93
The ordered pairs which is the solution of the system of Inequalities is;
x > 0 and y < 2
<h3>How to find the ordered pair of inequalities?</h3>
We are given the inequalities;
x + 2y > 4 ----(1)
3x - y < 2 -----(2)
Subtract 2y from both sides in eq 1 to get;
x > 4 - 2y ----(3)
Put 4 - 2y for x in eq 2 to get;
3(4 - 2y) - y < 2
12 - 4y - y < 2
12 - 5y < 2
Subtract 12 from both sides to get;
-5y < -10
Divide both sides by -5 to get;
y < 2
Put 2 for y in eq 3 to get;
x > 4 - 2(2)
x > 0
Read more about Inequality Ordered Pairs at; brainly.com/question/1528681
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<span> 5x + 2y = 7
+
−5x + 4y = 5
____________
6y = 12
y = 12/6
y = 2
</span>5x + 2y = 7
5x + 2*2 = 7
5x + 4 = 7
5x = 7 - 4
5x = 3
x = 3/5
<span>A. ( 3/5, 2) </span>
