9. If LK MK, LK = 7x - 10, KN = x + 3, MN = 9x - 11, and KJ = 28, find LJ.

Step-by-step explanation:

Given:

Required:

LJ

Solution:

Step 1: create an equation to find the value of x

Since we are given that LK = MK, and LK = 7x - 10, let's find the expression for MK to get an equation.

(segment addition postulate)

(Subtract KN from each side)

(subtitution)

LK = MK, therefore,

Subtract 8x from each side

Add 10 to both sides of the equation

Divide both sides by -1

Step 2: Find LJ

(segment addition postulate)

Plug in the value of x

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.

hope this .

r3t40