Find the lengths of the diagonals of rectangle QRST when QS = 20x - 5 and RT = 14x + 7 . A) 70

B) 99.7

C) 17.5

D) 35

Simplifying

20x + -5 = 14x + 7

Reorder the terms:

-5 + 20x = 14x + 7

Reorder the terms:

-5 + 20x = 7 + 14x

Solving

-5 + 20x = 7 + 14x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-14x' to each side of the equation.

-5 + 20x + -14x = 7 + 14x + -14x

Combine like terms: 20x + -14x = 6x

-5 + 6x = 7 + 14x + -14x

Combine like terms: 14x + -14x = 0

-5 + 6x = 7 + 0

-5 + 6x = 7

Add '5' to each side of the equation.

-5 + 5 + 6x = 7 + 5

Combine like terms: -5 + 5 = 0

0 + 6x = 7 + 5

6x = 7 + 5

Combine like terms: 7 + 5 = 12

6x = 12

Divide each side by '6'.

x = 2

Simplifying

x = 2

Step-by-step explanation: I'm so sorry if wrong im only in 6th grade :(

the correct answer is option c.   3

step-by-step explanation:

points to remember

equation of the line with coordinates (x₁, y₁) and (x₂, y₂) is given by,

slope m = (y₂ - y₁)/(x₂ - x₁)

from the figure we can see a line with two coordinates given

to find the slope of given line

here   (x₁, y₁)   = (-1, -1 ) and (x₂, y₂) = (1, 5)

slope m = (y₂ - y₁)/(x₂ - x₁)

  = (5 - -1)/(1 - -1)

  = (5 + 1)/(1 + 1)

  = 6/2 = 3

therefore the correct answer is option c.   3

heyyy

step-by-step explanation: