Aclass trip to a ski resort has been planned for your senior trip. the mountain only allows skiing when the temperature is between −10 degrees and 35 degrees. there is room for 38 people on your trip. write the constraints to represent this real-world problem, where x is the temperature and y is the number of people on your trip.

−10 < x < 35 and 0 < y ≤ 38
x < 35 and y > −10
0 < x ≤ 38 and −10 < y < 35
x > −10 and y < 35

Simplify the expression and find the missing terms. the simplest form of has in the numerator and in the denominator.

How are sas and sss used to show that two triangles are congruent?

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