AB is congruent to DE because segment DE was constructed so that DE = AB. BC is congruent to EF because segment EF was constructed so that EF = BC. Since ADEF is a right triangle, DE+ EF? = DF? by
the
We are given that AB + BC2 = AC? Since DE = AB and EF = BC,
DE2 + EF2 = AC? by the
Also, DF2 = AC2 by
the
Taking the square root of both sides of the equation gives DF = AC.
So, AC is congruent to DF by the definition of congruence. Applying the
AABC - ADEF. By
CPCTC, ZB _ZE. Therefore ZB is a right angle and AABC is a right triangle.

What is (28 + 7 + 6 + 3) x 1/2 show your work

Ariana starts with 100 milligrams of a radioactive substance. the amount of the substance decreases by 20% each week for a number of weeks, w. the expression 100(1−0.2)w finds the amount of radioactive substance remaining after w weeks. which statement about this expression is true? a) it is the difference between the initial amount and the percent decrease. b) it is the difference between the initial amount and the decay factor after w weeks. c) it is the initial amount raised to the decay factor after w weeks. d) it is the product of the initial amount and the decay factor after w weeks.

72 the length of a side of a triangle is 36. a line parallel to that side divides the triangle into two parts of equal area. find the length of the segment determined by the points of intersection between the line and the other two sides of the triangle.