For an entire grading period at school, James played video games for 70 minutes a day, and has a GPA of 2.3. For the next grading period his parents said he was not allowed more than 45 minutes of video games each day and his GPA increased to 3.58. Which statement about this situation is true?

A) The number of minutes playing video games varies inversely with GPA with a constant of variation k = 30.4.

B) The number of minutes playing video games varies inversely with GPA with a constant of variation k = 161.

C) The number of minutes playing video games varies directly with GPA with a constant of variation k = 161.

D) The number of minutes playing video games varies directly with GPA with a constant of variation k = 30.4.

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step-by-step explanation:

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,

step-by-step explanation:

1

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.