Ethan starts the week with a balance of $275.00 in his checking account. During the week, he uses his debit card to spend $27.50 on food, $12.00 at the movies,
and $6.75 for music downloads. He earns and deposits $45.00 for mowing lawns.
What is Ethan's balance at the end of the week?

1234567891011 match the reasons with the statements in the proof. given: j | | k m 1 = m 3 prove: l | | m 1. j||k, m∠3 = m∠1 if lines are ||, then corresponding angles are =. 2. m∠1 = m∠2 if alternate interior angles are =, then lines are ||. 3. m∠2 = m∠3 substitution 4. l||m given

Solve this system of equations. 12x − 18y = 27 4x − 6y = 10

Give the functions f(x) = |x + 2| - 3, what is the domain? a, b,c, or d all real numbers x > 2 x < -2 all real numbers and x cannot equal to 2