Jack jogs and rides his bike for a total of 75 minutes every day. he rides his bike 15 minutes more than he jogs. part a: write a pair of linear equations to show the relationship between the number of minutes jack jogs (x) and the number of minutes he rides his bike (y) every day. (5 points) part b: how much time does jack spend jogging every day? (3 points) part c: is it possible for jack to have spent 60 minutes riding his bike every day? explain your reasoning. (2 points)

answer:

b) number of minutes he jogs is 30 minutes

number of minutes he rides is bike is 45 minutes

c) it not possible.

step-by-step explanation:

since we have given that

amount of time jack jogs and rides his bike = 75 minutes

part a) write a pair of linear equations to show the relationship between the number of minutes jack jogs (x) and the number of minutes he rides his bike (y) every day.

let number of minutes he rides his bike be y

let number of minutes he jogs be x

so, pair of linear equations will be

part b: how much time does jack spend jogging every day?

so, number of minutes he jogs is 30 minutes

number of minutes he rides is bike is 45 minutes

part c: is it possible for jack to have spent 60 minutes riding his bike every day?

if number of minutes he rides his bike =n 60 minutes

and according to question we have mentioned that he rides his bike 15 minutes more than he jogs .

so, number of minutes he jogs will be

then , total minutes will become

so, it is not possible to get a total of 75 minutes and it will need 105 minutes.

no, it not possible.

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

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step-by-step explanation: