Answer:
Third placer consumed 24 hot dogs.
Winner consumed 48 hot dogs.
Step-by-step explanation:
Lets assume that the third runner up eats x hot dogs.
The total time for the contest is 15x seconds.
Given is that the winner ate (x+24) hot dogs
The winner's rate of eating is 1 hot dog per 7.5 seconds.
And we know the rate =
We get;
x = 24 (third placer)
And the winner consumed hot dogs.
Answer:
(i) In triangle RTO and QSR
Given,
⇒∠RTO=∠OSR=90
o
(QS⊥PR and RT⊥PQ)
⇒QS=RT
⇒QR=RO ....Hypotenuse
∴△RTQ≅△QSR ....RHS criterion
(ii) By using part(1) of a solution, we get
∠TQR=∠SRQ ....By C.P.C.T
⇒∠PQR=∠PRQ
Step-by-step explanation: