Geometry
1 answer:
Answer:
Option (C)
Step-by-step explanation:
From the picture attached,
Two lines 'h' and 'k' are the parallel lines and a transversal 'n' is intersecting these parallel lines at two distinct points.
By the theorem of alternate interior angles, angle 8 and angle 11 will be equal in measure.
∠8 ≅ ∠11 [Alternate interior angles]
m(∠8) = m(∠11) = 118°
Therefore, Option (C) will be the answer.
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Hi there! The answer is 10.
We can use PEMDAS (Parenthesis, exponents, multiply, divide, add, subtract) to find our answer.
Since we cannot work inside the parenthesis in this question and since we don't have exponents, we can move on to multiplying.
Our next step would be subtracting. To make the process of subtracting some easier, I'll first change the fraction into a decimal.
Finally subtract.
The answer is 10.
~ Hope this helps you!
We can use PEMDAS (Parenthesis, exponents, multiply, divide, add, subtract) to find our answer.
Since we cannot work inside the parenthesis in this question and since we don't have exponents, we can move on to multiplying.
Our next step would be subtracting. To make the process of subtracting some easier, I'll first change the fraction into a decimal.
Finally subtract.
The answer is 10.
~ Hope this helps you!
Answer:
The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.
Step-by-step explanation:
After consuming the energy drink, the amount of caffeine in Ben's body decreases exponentially.
This means that the amount of caffeine after t hours is given by:
In which A(0) is the initial amount and k is the decay rate, as a decimal.
The 10-hour decay factor for the number of mg of caffeine in Ben's body is 0.2722.
1 - 0.2722 = 0.7278, thus, . We use this to find k.
Then
What is the 5-hour growth/decay factor for the number of mg of caffeine in Ben's body?
We have to find find A(5), as a function of A(0). So
The decay factor is:
1 - 0.8531 = 0.1469
The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.