Joseph leans a 20-foot ladder against a wall so that it forms an angle of 69° with the ground. How high up the wall does the ladder reach? Round your answer to the
nearest hundredth of a foot if necessary.

Sara made $253 for 11 hours of work. at the same rate how much would he make for 7 hours of work?

Given: ab ≅ cd and ad ≅ bc prove: abcd is a parallelogram. statements reasons 1. ab ≅ cd; ad ≅ bc 1. given 2. ac ≅ ac 2. reflexive property 3. △adc ≅ △cba 3. ? 4. ∠dac ≅ ∠bca; ∠acd ≅ ∠cab 4. cpctc 5. ∠dac and ∠bca are alt. int. ∠s; ∠acd and ∠cab are alt. int. ∠s 5. definition of alternate interior angles 6. ab ∥ cd; ad ∥ bc 6. converse of the alternate interior angles theorem 7. abcd is a parallelogram 7. definition of parallelogram what is the missing reason in step 3? triangle angle sum theorem sas congruency theorem sss congruency theorem cpctc

Alex buys a home for $276,400. his home is predicted to increase in value 3.5% each year. what is the predicted value of alex’s home in 25 years? a. 621,357 b. 635,191 c. 653,201 d. 673,415