Solve for x using common denominators. 3/4(x + 2)=x/(x+2)

x = 3/4

Step-by-step explanation:

The lowest common denominator is 4(x + 2) so we multiply each side by this:

3 = 4x

x = 3/4.

13 or -1

Step-by-step explanation: 3/4(x+2)=x/(x+2)

3x+6/4=x/(x+2) we cross multiply

4x+(3x+6)(x+2)

4x=3x²+6x+6x+12

4x²=3x²+12x+12

4x²-3x²-12x-12=0

x²-12x-12=0

-b+or -√b²-4x/2x

12=or-√12²-4×1x-12/2×1

12+or-√144-48/2

12=or-√192/2

12+14/2 or 12-14/2

13or -2/2

13 or -1

mean, 40.6

step-by-step explanation:

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240