30 points and \part a: a number is increased by 54. the sum is then divided by 9. the result is 21.

write an equation to represent the description above. use n for the number.

equation:

part b: find the value of n. show your work.

n =

part c: choose two numbers and use them to do the following:

write an equation that shows your first number added to n equal to your second number. solve your equation for n.

equation:

solution:

Part A) The equation that represent the situation is

Part B) The value of n is

Part C) The equation is and the solution is

Step-by-step explanation:

Part A) A number is increased by 54. The sum is then divided by 9. The result is 21.  Write an equation to represent the description above. Use n for the number

Let

n-----> the number

we know that

The linear equation that represent this situation is equal to

Part B) Find the value of n

we have

solve for n

Multiply by 9 both sides

Subtract 54 both sides

Part C) Choose two numbers and use them to do the following:

Write an equation that shows your first number added to n equal to your second number. Solve your equation for n

I choose 35 and 60

Solve for n

Subtract 35 both sides

25/4

step-by-step explanation:

call segment cd's length x. because dc and ab are parallel, angle acd and cab, so triangles adc and abc are similar and we can set up the equation x / ac = ac / ab, or x / 5 = 5 / 4 and x = 25/4.