In circle a, m∠aed = 48° and m∠dae = 44°. determine if ac is perpendicular to ef. explain why or why not and show all work.

If you look at triangle ADE, you can see that angles AED and DAE have been given to you. Since only one angle in that triangle is missing, and the sum of all of the angles in a triangle is always 180, you can add angles AED and DAE together and then subtract that from 180. 44+48= 92, 180-92=88. Angle ADE= 88. Perpendicular lines make 90 degree angles, and since angle ADE= 88 which is not 90 degrees, AC is not perpendicular to EF.

Ithink it’s d as the answer.

Prove that every odd prime number can be written as a difference of two squares.prove also that this presentation is unique.is such presentation possible if p is just an odd natural number? can 2 be represented this way?

answers

\3. yes the presentation (i.e. odd numbers being written as differences of two squares) is possible for all odd natural number however the presentation may not be unique. for example,  57=112−82=292−28257=112−82=292−282.

\4. 2 can't be written as a difference of two squares because 4-1=3 and 1-1=0 and the difference of squares grows to integers larger that 3.

can i get some in proving questions 1 and 2?