The graph below shows the distance, y, in miles, of a bee from its hive, for a certain amount of time, x, in minutes: Graph titled Distance Vs Time is shown with Time in minutes along the x-axis and Distance from Hive in miles along the y-axis. The scale on the x-axis shows the numbers 0 to 25 at increments of 5, and the scale on the y-axis shows the numbers 2 to 16 at increments of 2. A straight line joins the ordered pairs 0, 4 and 5, 6 and 10, 8 and 15, 10 and 20, 12.

Based on the graph, what is the initial value of the graph and what does it represent?

0.4 mile per minute; it represents the speed of the bee
0.4 mile; it represents the original distance of the bee from its hive
4 miles; it represents the original distance of the bee from its hive
4 miles per minute; it represents the speed of the bee

The line containing the midpoints of the legs of right triangle abc where a(-5,5), b(1, 1), and c(3, 4) are the vertices.

Select the correct answer what is the most direct use of a compass in geometric constructions? a. to draw congruent angles b. to draw arcs of a given size c. to draw perpendicular lines d. to draw straight lines reset next next

Given: ad¯¯¯¯¯ is an altitude. prove: ab2+ac2=cb2 right triangle a b c with right angle a. point d lies on side b c and segment a d is drawn. angle a d c is a right angle. drag and drop a reason into each box to correctly complete the two-column proof. statement reason ad¯¯¯¯¯ is an altitude, and ∠bac is a right angle. given ∠adb and ∠adc are right angles. definition of altitude ∠bac≅∠bda ? ∠bac≅∠adc ? ∠b≅∠b ? ∠c≅∠c reflexive property of congruence △abc∼△dba ? △abc∼△dac aa similarity postulate abbd=cbab ? ab2=(cb)(bd) cross multiply and simplify. acdc=cbac polygon similarity postulate ac2=(cb)(dc) cross multiply and simplify. ab2+ac2=ab2+(cb)(dc) addition property of equality ab2+ac2=(cb)(bd)+(cb)(dc) substitution property of equality ab2+ac2=(cb)(bd+dc) ? bd+dc=cb segment addition postulate ab2+ac2=cb2 substitution property of equality