Answer:
Area of rectangle PLUM = 75.00 square units
Step-by-step explanation:
Since diagonal of rectangle divides the rectangle into two equal triangles,
Therefore, area of the rectangle PLUM = 2× area of triangle PLM
By the mean proportional theorem,
In ΔPLM,
AP² = AM × AL
6² = AM × 8
AM =
AM = 4.5 units
Area of PLM = 
= 
= 
= 12.5 × 3
= 37.5 units²
Now area of rectangle PLUM = 2×37.5 = 75 units²
Therefore, area of the rectangle is 75.00 square units.
4x+10=-26
Subtract 10 to both sides:
4x=-36
Divide 4 to both sides:
x=-9
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Answer:
6.
Step-by-step explanation:
We can start by defining a couple things.
x = amount of nickels
y = amount of dimes
Since he has the same amount of each, we can say this.
x = y
And because we know it totals 0.90, we can say this.
0.05x + 0.10y = 0.90
then, we substitute and get this.
0.05x + 0.10x = 0.90
Simplify.
0.15x = 0.90
Divide both sides by 0.15.
x = 6
So we have 6 nickels, and they both are the same, so we have 6 dimes.