<h2>
Answer:</h2>
LP = 8 because LR + PR = LP according to the Segment Addition Postulate, and 8 + 4 = 12 using substitution
<h2>
Step-by-step explanation:</h2>
From this problem, we know that:
LR = 12
PR = 4
So here we have a Line segment. Recall that a line segment has two endpoints, places where they end or stop and they are named after their endpoints, so the line segment here is LR whose measure is 12. Then, according to Segment Addition Postulate it is true that:
LP + PR = LR
By substituting LR = 12 and PR = 4, we have:
LP + 4 = 12
Subtracting 4 from both sides:
LP + 4 - 4 = 12 - 4
LP + 0 = 8
Finally:
LP = 8
Answer:
12m²
Step-by-step explanation:
For a rectangle, with length L and width W,
the perimeter is given as
Perimeter,
P = (2 x Length) + (2 x Width)
P = 2L + 2W
It is given that the perimeter is 48, hence
48 = 2L + 2W (divide both sides by 2)
24 = L + W
or
L = 24 - W -----> eq 1
Also realize that the Area of a Rectangle is given by
A = L x W -----> eq 2
Substituting eq 1 into eq 2,
A = (24 - W) x W
A = -W² + 24W
Recall that for a quadratic equation y = ax² + bx + c, the maxima or minima is given by y(max) = -b/2a
In this case, b = 24 and a = -1
-b/2a = -24/[ 2(-1) ] = 12
Hence for A to be maximum A(max) = 12m² (Answer)
Answer:
30%
Step-by-step explanation:
if 60% were thin mint and 10% were Samoas that is 70% of cookies. remaining 30% must be trefoils. hope this helps
Answer:
x = 135
Step-by-step explanation:
The three triangles are similar.
144/y = y/81
y^2 = 144 * 81
y = 12 * 9
y = 108
81^ + 108^2 = x^2
x^2 = 18225
x = 135
