Answer:
x = -4
Step-by-step explanation:
2x+4(2x+7)=3(2x+4)
Distribute
2x+8x + 28 = 6x +12
Combine like terms
10x +28 = 6x +12
Subtract 6x from each side
10-6x+28 = 6x +12 -6x
4x +28 = 12
Subtract 28 from each side
4x+28-28 = 12-28
4x = -16
Divide each side by 4
4x/4 = -16/4
x = -4
I think it proved by the arc intercepting kl making it an interior alternate angle which means it equal to each other
Answer:896.9
Step-by-step explanation:
Let x denotes excess premium over claims
, There are two possibilities
(i)Only husband survives
This can be possible with a possibility of 0.01
Claims=10,000
Premium collected
Thus x=1000-10,000=-9000
(ii)Both husband and wife survives
This can occur with a probability of 0.96
Here claims will be 0 as both survives
Premium taken=1000
thus x=1000
The probability that the husband survives is the sum of above cases
=0.96+0.01=0.97
Hence the desired conditional Expectation 
Answer:
18 square inches
Step-by-step explanation:
Surface Area of original prism: 54 square inches
Surface Area of similar prism:
1/3 x 54
=18 square inches