A right triangle's longest side is the hypotenuse
let x=longest, y=middle, and z=shortest
x=y+2
y=2z-1
therefore x=(2z-1)+2=2z+1
find z
z^2+y^2=x^2 by Pythagorean theorem
plug in x and y in terms of z
z^2+(2z-1)^2=(2z+1)^2
z^2+4z^2-4z+1=4z^2+4z+1
subtract the right-hand side's value from the left-hand side's
z^2-8z=0
z(z-8)=0
z=0, 8
z cannot be zero as the sides must have some value to it.
Therefore the shortest side is equal to 8
Answer:
Step-by-step explanation:
let X be the quantity of 100% acid
let Y be the quantity of 10% acid
X + Y = 90
Y = 90 - X
X(100) + Y(10) = 90(81)
X(100) + (90 - X)(10) = 90(81)
100X + 900 - 10X = 7290
90X = 6390
X = 71 L
I think it’s the third one
Answer: Line R and Line P are perpendicular because they intersect at a point and create a pair of equal angles.
Step-by-step explanation:
Answer:
<em>B) x = 3</em>
Step-by-step explanation:
lets plug in the first option to see if it works
3x=9
3*27=9
<em>thats not right</em> ( 3*27 = 81 )
Next, we try the second option
3x=9
3*3=9
<em>that looks more like a resonable answer right?</em>
<em>now to check our work</em>
3+3+3=9
<em>Its correct!</em>
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<em>Hope that helps</em>
May~
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