Answer:
As shown in picture, the circle is divided into 2 arcs, one of them is 142 deg.
Then the other one A is 360 - 142 = 218 deg (property of sum of all arcs on circle).
As the property of angle created by a tangent line:
x = (1/2) x arc A = (1/2) x 218 = 109 deg
Hope this helps!
:)
1) Option C is correct
2) Option B is correct
Step-by-step explanation:
Question no 1:
We need to find the constant of proportionality
The constant of proportionality can be found by using the formula y/x = k, where k is the constant of proportionality.
Finding k:
x = Hot pepper corn
y = chedder corn
So, y/x = 10/4 = 2.5
y/x = 20/8 = 2.5
y/x= 30/12= 2.5
So, Constant of proportionality is k = 2.5
Hence Option C is correct.
Question No 2
Every female rabbit has 5 baby rabbits. We need to find ratio of baby rabbits to female rabbits.
Baby rabbits = 5
female rabbits = 1
Ratio of baby rabbits to female rabbits: 5: 1 or 5/1 = 5
So, ratio of baby rabbits to female rabbits is 5
Option B is correct.
Keywords: ratio and direct proportion
Learn more about Ratio and direct proportion at:
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Answer:
Juan has 35 orders
Step-by-step explanation:
you subtract 40 from 75 to get 35
Answer: 4/9
Step-by-step explanation:
The probability that annie picks a duck Pt= the probability of picking a duck without accounting for the added one (Po)+ probability of picking the added bird and it's a duck(Pi)
Pt = Po+Pi
Since the total number of birds in the right pond is 10 after the addition of one by john
Po= 4/10
Pi= the of john adding a duck × the probability of annie picking the added bird
Pi= 4/9 × 1/10
Pi = 4/90
Pt= 4/10 + 4/90
Pt = (36+4)/90
Pt=40/90
Pt= 4/9
(This implies that the probability of picking a duck remain the same even after the addition of one bird from the left ponds because they both have equal proportions of duck and geese i.e the initial number of duck and geese in both right and left ponds are 4 and 5 respectively)
Thanks.
He would be 120 yrs old because 60 times 4 is 240 and the son is half of his age so 240 divided by 2 is 120 hope this helped