20 !
given pqr find the values of x and y. in your final answer, include all of your calculations.

• x = 9

• y = 6√2

Step-by-step explanation:

The right triangles are all similar, so the ratios of hypotenuse to short side are the same:

27/x = x/3

x^2 = 81 . . . . . multiply by 3x

x = 9 . . . . . . . . take the square root

Then y can be found from the Pythagorean theorem:

x^2 = y^2 + 3^2

81 - 9 = y^2 = 72 . . . . . subtract 9

y = √72 = 6√2 . . . . . . .take the square root

The values of x and y are 9 and 6√2, respectively.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

the correct answer is you spend $55.78 more in a brand store that buy ing in a normal store.

step-by-step explanation:

brand = spend   $ 135.85 total

store = spend $80.07 total