Answer:
x=4
Step-by-step explanation:
<u>Step 1</u>:-
given the lengths of two sides of a right angle are represented by 2x and 3(x+1) and longest side is 17 units.
AB = 2x and BC = 3(x+1) and longest side AC= 17
by using Pythagoras theorem
<u>step 2:-</u>
The hypotenuse is longest side is AC = 17 units
(17)^2 = 4x^2 +9(X+1)^2
on simplification, we will use formula
289 = 4x^2 +9(x^2+2x+1)
finding factors 70 X 52 = 3640
Taking common , we get
13x(x-4)+70(x-4)=0
x-4=0 and 13x+70=0
x=4 and
x=4 and
we can not choose negative value so x value is 4
Final answer:- x = 4
<u>verification:-</u>
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289 = 4(4)^2+9(4+1)^2
289 = 64 +9(25)
289=289
Answer:
It is a solution
Step-by-step explanation:
8d+6= -8d-186
Add 8d to each side
8d+8d+6= -8d+8d-186
16d +6 = -186
Subtract 6 from each side
16d +6-6 = -186 -6
16d = -192
Divide each side by 16
16d/16 = -192/16
d = -12
Answer:
About 11.4
Step-by-step explanation:
There are 3.78541178 liters in a gallon.
Round that up to the nearest 100 and you get 3.8
Multiply 3.8 by 3.
You get 11.4
I believe the answer is 2/3n