Mom signs up for a new cell phone plan for $110. The Plan includes 4GB data time each month without additional charge. If more data is needed, it will cost $10 for each additional GB of data time.
1. Write an equation for "C" (total monthy cost of the plan) including the additional cost of any GB used beyond 4 GB.

2. What does X stand for?

3. Challenge:How many extra GB would be needed to increase the cost of the plan to $200 in one month? (hint: use your equation
to help you).

4. Challenge Pt 2: Does your answer to #3 make sense? Why or why not?

Given: ad¯¯¯¯¯ is an altitude. prove: ab2+ac2=cb2 right triangle a b c with right angle a. point d lies on side b c and segment a d is drawn. angle a d c is a right angle. drag and drop a reason into each box to correctly complete the two-column proof. statement reason ad¯¯¯¯¯ is an altitude, and ∠bac is a right angle. given ∠adb and ∠adc are right angles. definition of altitude ∠bac≅∠bda ? ∠bac≅∠adc ? ∠b≅∠b ? ∠c≅∠c reflexive property of congruence △abc∼△dba ? △abc∼△dac aa similarity postulate abbd=cbab ? ab2=(cb)(bd) cross multiply and simplify. acdc=cbac polygon similarity postulate ac2=(cb)(dc) cross multiply and simplify. ab2+ac2=ab2+(cb)(dc) addition property of equality ab2+ac2=(cb)(bd)+(cb)(dc) substitution property of equality ab2+ac2=(cb)(bd+dc) ? bd+dc=cb segment addition postulate ab2+ac2=cb2 substitution property of equality