Answer:
x<2
Step-by-step explanation:
I didnt feel like typing it out but the explanation is in the picture hope this helps :)
I believe it should be ∆LKD because the parts should correspond with each other. D is a right angle in the first triangle and appears in the middle, so since K is the right angle of the second, it should also go in the middle.
I believe this is proven by HL because both hypotenuses are congruent, as is a pair of legs, and they are both right triangles.
Let X be the width of the path.
The width of the path would be the width of the pool plus 2x, so 2x +16
The length of the path would be the length of the pool plus 2x, so 2x+22
The total area is 832 square feet.
Area is found by multiplying the length by the width.
So you have:
(2x+16) (2x+22) = 832
Use the Foil Method:
(2x+16) (2x+22) = 4x^2 +76x+352
Now you have:
4x^2 +76x+352 = 832
Subtract 832 from both sides:
4x^2 +76x+352-832 = 0
Simplify:
4x^2 +76x -480
Factor the left side:
4(x-5)(x+24) = 0
Divide both sides by 4:
(x-5)(x+24) = 0
Set both parenthesis to equal 0 and solve for x:
x=5 and x = -24
The width of the path cannot be a negative number, so the width is 5 meters.
A) x * 7 = y
B) y + 7 +1 = 9x
A) x = y / 7
Substituting this into B)
B) y + 8 = 9(y/7)
Multiplying both sides by 7
B) 7y + 56 = 9y
2 y = 56
y = 28
x = 4
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Double Check
4 * 7 = 28 + 7 = 35
9*x = 36
