Triangle q r s is shown. angle q r s is a right angle. angle r s q is 30 degrees and angle s q r is 60 degrees. the length of r s is 5 startroot 3 endroot, the length of s q is 10, and the length of r q is 5.
given right triangle qrs, what is the value of sin(30°)?

startfraction startroot 3 endroot over 3 endfraction
one-half
startfraction startroot 3 endroot over 2 endfraction
startfraction 2 over 1 endfraction

If you prove that ∆wxz is congruent to ∆yzx, which general statement best describes what you have proved?

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

Hundred and tens tables to make 430 in five different ways