Daniel is constructing a fence that consists of parallel sides ab and ef. complete the proof to explain how he can show that m_gkb = 120° by filling in the missin
justifications
statement
justification
ab ef
mzelj = 120
given
m_elj + mzelk = 180°
linear pair postulate
m2bkl + m2gkb = 180°
linear pair postulate
mzelj+mzelk= m_bkl + mzgkb transitive property
lelk bkl
melk = m_bkl
mzelj + mzelk=mzelk + m_gkb substitution property
mcelj = m_gkb
subtraction property
mgkb = m_elj
symmetric property
mzgkb = 120
substitution
1. alternate interior angles theorem: 2 definition of congruence
1. alternate exterior angles theorem, 2. substitution property
01 definition of congruence 2. alternate interior angles theorem
1 substitution property 2. alternate exterior angles theorem

Use the function nest to evaluate p(x) = 1 + x + · · · + x50 at x = 1.00001. (use the matlab ones command to save typing.) find the error of the computation by comparing with the equivalent expression q(x) = (x51 − 1)/(x − 1).

An airplane consumes fuel at a constant rate while flying through clear skies, and it consumes fuel at a rate of 64 gallons per minute while flying through rain clouds. let c represent the number of minutes the plane can fly through clear skies and r represent the number of minutes the plane can fly through rain clouds without consuming all of its fuel. 56c+64r < 900056c+64r< 9000 according to the inequality, at what rate does the airplane consume fuel while flying through clear skies, and how much fuel does it have before takeoff? the airplane consumes fuel at a rate of gallons per minute while flying through clear skies, and it has gallons of fuel before takeoff. does the airplane have enough fuel to fly for 60 minutes through clear skies and 90 minutes through rain clouds?

Question 1 of 10 2 points different groups of 50 graduates of an engineering school were asked the starting annual salary for their first engineering job after graduation, and the sampling variability was low. if the average salary of one of the groups was $65,000, which of these is least likely to be the average salary of another of the groups? o a. $64,000 o b. $65,000 o c. $67,000 o d. $54,000