a department store has 39 cartons of new shirts to unpack and display. Each carton contains 25 shirts. Each display rack holds 19 shirts.how many racks will the store need to hold all the shirts?

Answer:

x = 8

Step-by-step explanation:

11x - 34 and 7x - 2 are vertical angles and congruent, thus

11x - 34 = 7x - 2 ( subtract 7x from both sides )

4x - 34 = - 2 ( add 34 to both sides )

4x = 32 ( divide both sides by 4 )

x = 8

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11x - 34 = 11(8) - 34 = 88 - 34 = 54

18y and 11x - 34 are adjacent angles and supplementary , thus

18y + 54 = 180 ( subtract 54 from both sides )

18y = 126 ( divide both sides by 18 )

y = 7

x=4

4x+2=18

x has to be alone, so you dived both sides by 2

4x=18-2

4x=16

divide both sides by 4

x=4

Answer:

Addition property of equality and multiplication property of equality

Step-by-step explanation:

Addition Property of Equality: This property states that you can add or subtract the same value to both sides of an equation without changing its solution.

Here's the step-by-step solution, emphasizing the properties used:

Start with the equation:

4x + 2 = 18

Use the Addition Property of Equality to isolate the variable "x." Subtract 2 from both sides to move the constant term to the other side of the equation:

4x + 2 - 2 = 18 - 2

Simplify both sides by applying the Addition Property of Equality:

4x = 16

To further isolate "x," use the Multiplication Property of Equality, which states that you can multiply or divide both sides of an equation by the same nonzero value. Divide both sides by 4 to solve for "x":

(4x) / 4 = 16 / 4

Simplify both sides using the Multiplication Property of Equality:

x = 4

So, in solving the equation 4x + 2 = 18, you primarily used the Addition Property of Equality and the Multiplication Property of Equality to isolate and solve for "x."

Answer:

Theres no picture below

Step-by-step explanation: