Beatrice used a slingshot to launch an egg into the air. She recorded the egg's path using a motion detector. The following data represents the height (in feet) of the egg at certain time points (in seconds). Distance is the dependent variable and time is the independent variable: {(0.0, 16), (1.7, 20.46), (2.5, 23.16), (3.7, 23.51), (5.1, 20.07), (6.6, 12.4), (7.3,5.62), (8.0, 0.15)}

Which pair of quantities best describes the approximate maximum altitude of the egg and the estimated time the egg reached the maximum altitude?

A). 25.00 feet at 3 seconds
B). 23.65 feet at 3 seconds
C). 23.65 feet at 3.7 seconds
D). 23.57 feet at 3.7 seconds
E). 23.57 feet at 3 seconds

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.

12

step-by-step explanation:

12 + 5 = 17

12x2=24

24-7=17

look at the picture i have filled out a table for it. hope this .