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Marysya12 [62]
3 years ago
13

Mrs Kelly and mr Martin are orgainzing a relay race for field day the relay is 3 complete laps around the field each relay team

has 4 students, but they are not sure how many laps each of the runners will run if the 3 lap are divided equally among 4 runners, how many laps will each team member need to run?
Mathematics
1 answer:
love history [14]3 years ago
7 0

Answer:Each student will run 0.75 lap

Step-by-step explanation:

The relay race is 3 complete laps around the field and each relay team has 4 students. This means that the four students will run the 3 complete laps. If the total distance of the 3 laps is divided equally among the 4 students, then the amount or length of lap that each of them will run will be determined by dividing the total number of laps for the relay by the total number of runners. It becomes

3/4 = 0.75

Each student will run 0.75 lap

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First of all, we will find the measure of arcs ED and CB using our given information.

We know that measure of an inscribed angle is half the measure of intercepted arc.

We can see that angle EBC is inscribed angle of arc EDC, so measure of arc EDC will be twice the measure of angle EBC.

\widehat{EDC}=2\times m\angle EBC

\widehat{EDC}=2\times 80^{\circ}

\widehat{EDC}=160^{\circ}

Similarly, we will find the measure of arc DCB.

\widehat{DCB}=2\times m\angle DEB

\widehat{DCB}=2\times 70^{\circ}

\widehat{DCB}=140^{\circ}

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\widehat{ED}=160^{\circ}-88^{\circ}

\widehat{ED}=72^{\circ}

\widehat{ED}+\widehat{DCB}+\widehat{EAB}=360^{\circ}

72^{\circ}+140^{\circ}+\widehat{EAB}=360^{\circ}

212^{\circ}+\widehat{EAB}=360^{\circ}

\widehat{EAB}=360^{\circ}-212^{\circ}

\widehat{EAB}=148^{\circ}

Therefore, the measure of arc EAB is 148 degrees and option C is the correct choice.

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3 years ago
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Answer:

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telo118 [61]

Answer:

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