Does someone know how to do this? Pls I will give u brainliest if u do it
1 answer:
Answer: LP=15
Step-by-step explanation:
Ok triangle ΔNPL is congruent to ΔNML because they share side LN so side LN = LN
Angle LNP and LNM are right angles so they are congruent.
Sides PN and MN are marked congruent.
With that information we can use SAS to say those triangles are congruent.
This means that side LP=LM
so 10x-5=7x+1
Now we solve
Now we can sub in x to solve LP
10(2)-5
20-5
15
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Answer:
Maximum area = 800 square feet.
Step-by-step explanation:
In the figure attached,
Rectangle is showing width = x ft and the side towards garage is not to be fenced.
Length of the fence has been given as 80 ft.
Therefore, length of the fence = Sum of all three sides of the rectangle to be fenced
80 = x + x + y
80 = 2x + y
y = (80 - 2x)
Now area of the rectangle A = xy
Or function that represents the area of the rectangle is,
A(x) = x(80 - 2x)
A(x) = 80x - 2x²
To find the maximum area we will take the derivative of the function with respect to x and equate it to zero.
= 80 - 4x
A'(x) = 80 - 4x = 0
4x = 80
x =
x = 20
Therefore, for x = 20 ft area of the rectangular patio will be maximum.
A(20) = 80×(20) - 2×(20)²
= 1600 - 800
= 800 square feet
Maximum area of the patio is 800 square feet.
