Plese, me understand this!

what is the value of x?

Explanation:

The angles shown are vertical angles. Any pair of vertical angles are always congruent (i.e. equal)

Set the two expressions equal to each other and solve for x.

2(x+10) = 3x-30

2x+20 = 3x-30 ... distribute

2x+20-2x = 3x-30-2x ... subtract 2x from both sides

20 = x-30

20+30 = x-30+30 ... add 30 to both sides

50 = x

x = 50

Check:

Plug x = 50 into the equation. Both sides should result in the same value

2(x+10) = 3x-30

2(50+10) = 3*50-30

2(60) = 3*50-30

120 = 150-30

120 = 120

The answer is confirmed.

can you complete your sentence? i could !

this is a direct variation proportion. y = kx

y is the total amount due, k is the constant of variation, and x is the number of texts sent.

plug in the 3.20 and the 16 to solve for the "k". this is the constant of proportionality. it is the value that will not change.

3.20 = k(16). solving you get $.20 per text.

the equation would then be y = .20x