On a coordinate plane, points are at (negative 5, 5), (0, 5), (0, negative 1), and (negative 5, negative 1). Daniel is drawing a plan for a new animal pen for his farm. The rectangle plotted in the coordinate plane represents the pen, measured in feet. How many feet of fencing does he need to surround the pen?
10 feet
11 feet
20 feet
22 feet

What are the digits that repeat in the smallest sequence of repeating digits in the decimal equivalent of 24/11?

What are the measures of angles a, b, and c? show your work and explain your answers. 25 points

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