Asa received scores of 72, 97, and 82 on her last three math tests. She needs a mean test score of 82 to qualify for the math team. What is the first step in determining how many points she needs on her next test to qualify for the team? Find the sum of all the numbers in the problem, 72 + 97 + 82 + 82.
Find the average score for the three tests that Asa has taken.
Determine the total number of points that she needs on the last test.
Determine how many total points are needed to have an average of 82.

final answer is : )

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.

okay..i will pick 8!