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.
Answer:
1/15
Step-by-step explanation:
You have a 1/3 chance of being an elf.
You have a 1/5 change of having the magic tool.
1/3 × 1/5 = 1×1/3×5 = 1/15
Answer:
c=6
Step-by-step explanation:
c+7=13
-7 -7
c=13-7
c=6
Answer:
D. difference of squares
Step-by-step explanation:
Both of the terms x^2 and 9 are squares, so their difference is the difference of squares. The factorization of that is a "special form" that can be usefully memorized.
a^2 -b^2 = (a -b)(a +b)
x^2 -9 = (x -3)(x +3)
Formula is:
Number of reams per case x number of cases
11 x 12 = 132 reams