During the summer, Owen works at the local Park District. He earns $10 per hour working as a lifeguard and $8 per hour at the concession stand. Owen can work 30 hours per week and he wants to earn $250 each week. Write the system of equations to determine how many hours at each job Owen needs to work to meet his goal.

The radical equation 2+√2x-3 = √x+7 has a solution set [x= a0} and an extraneous root x = a1.

If m∠abc = 70°, what is m∠abd? justify your reasoning.  using the addition property of equality, 40 + 70 = 110, so m∠abd = 110°.  using the subtraction property of equality, 70 − 30 = 40, so m∠abd = 30°.  using the angle addition postulate, 40 + m∠abd = 70. so, m∠abd = 30° using the subtraction property of equality.  using the angle addition postulate, 40 + 70 = m∠abd. so, m∠abd = 110° using the addition property of equality.

Solve each quadratic equation by factoring and using the zero product property. x^2 + 18x = 9x