Jeremiah and Noah are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Jeremiah is 273 miles away from
the stadium and Noah is 252 miles away from the stadium. Jeremiah is
driving along the highway at a speed of 51 miles per hour and Noah is driving
at speed of 44 miles per hour. Let J represent Jeremiah's distance, in miles,
away
from the stadium t hours after noon. Let N represent Noah's distance,
in miles, away from the stadium t hours after noon. Write an equation for
each situation, in terms of t, and determine whether Jeremiah or Noah is
closer to the stadium 2 hours after noon.

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