pls solve these problems
IF YOU HELP ME TO SOLVE THIS PROBLEM THEN U WILL GET 20 POINTS
AND I WILL MARK YOU AS BRAIN LIST AND THANK U ALSO
BUT GIVE A PROPER ANSWER
Answers
Step-by-step explanation:
1.a. 5 cars carry 375 people
Then,
I car carries=(375/5)=75 people
Therefore,
No. of cars required to carry 675 people=(675/75)
= 9 cars
b. Let the two numbers be 7x and 3x,
Then according to question,
7x-3x=36
4x=36
x=(36/4)=9
Therefore,
Bigger number=(7*9)=84
c. ⅓(2y-1)=3
(2y-1)=3*3
2y=9-1
y=8/2=4
d.i. No, because the 75° angle doesn't correspond to the same angle on the two triangles.
ii. In the ΔABE & ΔCDE,
AB=CD (given)
BE=CE (given)
∠BEA=∠CED (vertically opposite angles)
Therefore,
ΔABE≅ΔCDE (by SAS)
2.a. Please check the question. Anyone who is older than you cannot be the same age as you at any particular time.
b. In ΔABO & ΔAOC,
∠BAO=∠CAO (because OA bisects angle A)
AO=AO (common)
∠OBA=∠OCA (given)
So,
ΔABO≅ΔAOC (by ASA)
Therefore,
OB=OC (by CPCT)
c.i. In ΔABD & ΔACD,
AB=AC (given)
∠ABD=∠ADC (given)
AD=AD (common)
ii. ΔABD≅ΔACD (by SAS) (proved above)
iii. BD=BC (by CPCT)
Therefore,
D is mid-point of BC
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