Answer:
your right it is 12 great job!
Step-by-step explanation:
Answer:
please mark me as brainlist please
Step-by-step explanation:
we know, ∠BGA = 90
In right angled triangle BGA
AB = 12 cm (diameter of circle)
⇒ (AB)2 = (AG)2 + (BG)2
⇒ 122 = 82 + (BG)2
⇒ BG = 4√5
In right angled triangle BCG
Let CG be x cm.
⇒ (BC)2 = (CG)2 + (BG)2
⇒ (BC)2 = x2 + (4√5)2 ----(1)
As we know,
⇒ (BC)2 = CG × CA ----(2)
From equation (1) and equation (2)
⇒ x2 + (4√5)2 = x × (x + 8)
⇒ x2 + (4√5)2 = x2 + 8x
⇒ 8x = 80
⇒ x = 10 cm
From equation (2)
⇒ (BC)2 = CG × CA
⇒ (BC)2 = 10 × 18 = 180
⇒ BC = √180 = 6√5
6 × 5 = 30
Answer:
undefined/no solution
Step-by-step explanation:
you use elimination to solve. So multiply 2x+4y=-12 by 1 and x+2y=-2 by 2. then you subtract 2x+4y=-12 by 2x+4y=-4 and get 0y=-8. Anything divided by 0 is undefined/no solution because you can't divide anything by 0.
Answer:
Laura is 30 years old and Maria is 18 years old.
Step-by-step explanation:
Let x be the present age of Laura and y be that of Maria.
Laura was 3 times older than Maria when Laura had Maria's present age.
Lets say Laura had Maria's present age(y) k years before.Then Maria's age at that time will be y-k where k=(x-y).
Then:
y=3(y-k)
y=3(y-(x-y))
y=3(2y-x)
3x=5y -------1
After two years Laura will become x+2 years old and 2 years ago Maria was y-2 years old. Then:
x+2=2(y-2)
x=2y-6--------2
Solving 1 and 2 we get:
x=30 and y=18
Hence Laura's present age is 30 and Maria's present age is 18.
