Find the value of x RT=4x+10 SW= 5x-20

Answers

Answer 1

Answer: Well, as you can see from the rectangle RT and SW should have equal lengths. So to find the value of x, we need to do.....

4x + 10 = 5x - 20
-x + 10 = -20 (Subtraction property of equality)
-x = -30 (Subtraction property of equality)
x = 30 (Division property of equality)

To check our work:

4(30)+10 = 130
5(30)-20 = 130

So, the value of x is 30!

Related Questions

Fourteen decreased by twice a number equals -32
Michael Jordan is 6'6'' tall and could jump 4 feet of vertical distance off the ground.A basketball net's rim is 3.9 meters off the ground.With Jordan's combined height and vertical ,will his head reach the rim?
Solve for e:(-7)=e/3+14? show your work
Please help really fast
estion 15 of 20 : Select the best answer for the question. 15. In order for a button to fit through its buttonhole, the hole needs to be the size of the button's diameter. What size buttonhole is needed for a button with a circumference of 9.42 centimeters?

A DVD club charges nonmembers $20. 50 to purchase a DVD. With a $25 one-time membership fee, members pay $18 per DVD. For what number of DVDs is the cost the same for members and nonmembers on the first purchase? Write an equation that models the situation. Let d represent the number of DVDs. Solve the equation. For what number of DVDs is the cost the same for members and nonmembers’ first purchase from the DVD club?

Answers

A DVD club charges nonmembers $20. 50 to purchase a DVD. Members pay $18 per DVD for a one-time membership cost of $25. The cost is the same for members and nonmembers on the first purchase is 10.

Let's call the number of DVDs "d". For non-members, the cost of purchasing d DVDs is:

Cost for non-members = 20.50d

For members, the cost of purchasing d DVDs is:

Cost for members = 25 + 18d

We want to find the value of d for which the cost is the same for members and non-members. In other words, we want to find the value of d that satisfies the equation:

20.50d = 25 + 18d

To solve for d, we can start by subtracting 18d from both sides of the equation:

2.50d = 25

Then, we can divide both sides by 2.50:

d = 10

Therefore, the cost will be the same for members and non-members on the first purchase if the number of DVDs purchased is 10.

To learn more about cost, refer:-

brainly.com/question/28851110

#SPJ4

an employess new salary is 28,140 after getting 5% raise what was salary before increase _and what was last years salary _?

Answers

He got a 5% raise, so 28,140 is 105% of what it used to be.

105% means 1.05

(1.05) x (salary before increase) = 28,140

Divide each side by 1.05 :

Salary before increase = 28,140 / 1.05 = 26,800 .

The rest of the question is nonsense. The salary
before increase IS last year's salary.

Find the unit rate with the second given unit in the denominator. 1090 heartbeats in 15 min

Answers

1,090 beat / 15 min = (1,090 / 15) beat/min = (72 and 2/3) beats per minute

Solve the following system of equations graphically on the set of axes belowy = 3x - 6
y = -x+2

Answers

Answer:

y = 3x - 6

y = -x+2

Final answer:

To solve the system of equations graphically, graph both equations on a set of axes, then find the intersection point, which is the solution to the system.

Explanation:

To solve the system of equations graphically, we first need to graph each equation on a set of axes.

The first equation, y = 3x - 6, is a straight line with a slope of 3 and a y-intercept (where the line crosses the y-axis) at -6. To graph this, start at point (0, -6) on the y-axis, then move up 3 units and to the right 1 unit to find the next point. Repeat this process to plot several points, then draw a straight line through them.

The second equation, y = -x + 2, is also a line, but with a slope of -1 and a y-intercept at 2. Start at point (0, 2) on the y-axis, then move down 1 unit and to the right 1 unit. Draw a straight line through the points.

The solution to the system of equations is the point where the two lines intersect on the graph. By examining the graph, you can determine this point.