Given: ΔABC is an isosceles triangle where AB = BC. Prove: m∠BAC = m∠BCA Proof: Statement Reason 1. Let ΔABC be an isosceles triangle where AB = BC. given 2. Create point D on so that bisects ∠ABC as shown. constructing an angle bisector 3. m∠ABD = m∠DBC definition of angle bisector 4. BD = BD 5. ΔABD ≅ ΔCBD SAS 6. m∠BAC = m∠BCA Corresponding angles of congruent triangles are equal. 16 What is the reason for statement 4 in this proof? A. Transitive Property of Equality B. definition of midpoint C. definition of parallel lines D. Reflexive Property of Equality

Which of the following tools can be used to determine humidity? select all that apply. barometer: hygrometers: anemometer: hair: thermometer

Which best describes the t in a smart goal?

The following table lists the birth rate, death rate, and net migration rate for egypt over the past 20 years. on a coordinate plane, plot the birth rate data and death rate data for egypt. clearly, show each data point and label each curve. be sure to label the graph and axes. save a copy of your graph. then answer the following questions: (14 points) a. what was the annual growth rate for egypt in 1990? what is the estimated annual growth rate in 2010? be sure to show your work for each answer. b. where does egypt most likely fall on the demographic transition model? explain your answer using data from the table. describe two changes within egyptian society that would likely be necessary for egypt to transition to the next stage in the model. c. assuming egypt’s current birth rate, death rate, and net migration rate trends continue, what will the country’s annual growth rate likely be in 2030? if this growth rate is accurate, what would its doubling time be in 2030?