Athree-person relay race consists of ten times around a football field. if tomiko runs three and one-sixth times and brianna runs two and two-thirds times around the field, how many times around the field does the third person have to run to finish the race?

the third person have to run   times to finish the race.

Explanation:

Since a race consists 10 times around a football field.

Number of times tomiko runs =

Number of times brianna runs =

According to question,

∴  x=   times

So, the third person have to run   times to finish the race.

true !

step-by-step explanation:

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.