Complete the following statements to prove that likl and zjld are supplementary angles.
it is given that zeij zgji.
also, eijzikl and zgji jlk, as they are corresponding angles for parallel lines cut by a transversal.
by the definition of congruent angles, mzeij= mzgji, mzeij = mzikl, and mzgji = m_jlk
so, mzikl = m_jlk by the
angle jlk and zjld are supplementary angles by the
v. so m_jlk + mzjld = 180°.
by the
m_ikl + mzjld = 180°
therefore, zikl and zjld are supplementary angles by definition.

An electronics manufacturer wants to know if customers would be interested in a detachable keyboard for their tables and if so, what the most important features would be. the manufacturer partners with an electronics store to include copies of the survey with every purchase at that store for one week. which of the following best explains why this random sample is unlikely to be a good representative sample of tablet owners' preferences for a detachable keyboard? a) one week is likely not enough time to get a large enough sample. b) most people won't bother to send in the survey, which is likely to skew the results c) there is no way to verify whether the responders to the survey actually own a tablet d) the survey is biased because it was conducted through an electronics store, not the general population

The table shows the balance of a money market account over time. write a function that represents the balance y (in dollars) after t years.

You are a male who just graduated from college with a bachelor's degree. you have a job paying $50,780.00/yr. a. how does your salary compare to the yearly median earnings for a male with a bachelor's degree? b. what is the difference between the yearly median earnings for a male with a bachelor's degree compared to a male who does not attend college after earning a high school diploma?