Given: m || n, ∠1 ≅ ∠3 Prove: p || q

Horizontal parallel lines n and m are cut by transversals q and p. At the intersection of lines q and m, the uppercase right angle is angle 3. At the intersection of lines p and m, the uppercase right angle is angle 2. At the intersection of lines p and n, the bottom left angle is angle 1.

Complete the two-column proof.

♣ =

♦ =

♠ =

The data shown in the table below represents the weight, in pounds, of a little girl, recorded each year on her birthday. age (in years) weight (in pounds) 2 32 6 47 7 51 4 40 5 43 3 38 8 60 1 23 part a: create a scatter plot to represent the data shown above. sketch the line of best fit. label at least three specific points on the graph that the line passes through. also include the correct labels on the x-axis and y-axis. part b: algebraically write the equation of the best fit line in slope-intercept form. include all of your calculations in your final answer. part c: use the equation for the line of best fit to approximate the weight of the little girl at an age of 14 years old.

Arefrigeration system at your company uses temperature sensors fixed to read celsius (°c) values, but the system operators in your control room understand only the fahrenheit scale. you have been asked to make a fahrenheit (°f) label for the high temperature alarm, which is set to ring whenever the system temperature rises above –10°c. what fahrenheit value should you write on the label

Which expression is equivalent to 3^3 + 2^2?