Alex took out a 7/1 variable-rate mortgage for $140,000. the interest rate for the first period was fixed at 5.25%, and the loan was amortized over 30 years. at the end of the initial loan period, the interest rate was 6.75%, plus a 1.5% margin. what was alex's monthly mortgage payment during the initial fixed-rate period?

Write 5(6x+4)-2(5x-2) in the form a(bx+c) where a, b and c integers and a> 1

What is the name of a polygon that has four congruent sides and theses angle measures 60,120,60,120?

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