The arc angle AC is measured as 55 degrees.
<h3>How to find arc angle?</h3>
If two secant intersect in the exterior of a circle, then the measure of the angle formed is half the positive difference of the arcs intercepted.
Therefore, the secants intersect outside the circle at point E.
The arc angle AC can be found as follows:
Therefore,
m∠BED = 1 / 2 (arc angle AC - arc angle BD)
arc angle AC = x
arc angle BD = 23 degrees.
m∠BED = 16 degrees.
m∠BED = 1 / 2 (arc angle AC - arc angle BD)
16 = 1 / 2 (x - 23)
16 = 1 / 2x - 23 / 2
16 + 11.5 = 0.5x
27.5 = 0.5x
x = 27.5 / 0.5
x = 55 degrees.
Therefore,
arc angle AC = 55 degrees.
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Answer:
5/12 barrel/hour
Step-by-step explanation:
Type this as a fraction:
(1/6) barrel
--------------------
(2/5) hours
Division by 2/5 is equivalent to multiplication by 5/2:
1 5
--- barrel * -------------- = 5/12 barrel/hour
6 2 hours
Alternatively, this problem could be done using decimal fractions:
0.1667 barrel
-------------------- = 0.416666 barrel/hour = 5/12 barrel/hour
0.4 hours
f is given as -3
-3 is greater than -4, so use the second equation 3x-5.
replace x with -3 and calculate:
3(-3) - 5 = -9 - 5 = -14
The answer is -14.
Answer:
We conclude that (4, 2) is NOT a solution to the system of equations.
Step-by-step explanation:
Given the system of equations
Important Tip:
- In order to determine whether (4, 2) is a solution to the system of equations or not, we need to solve the system of equations.
Let us solve the system of equations using the elimination method.
Arrange equation variables for elimination
Subtract the equations
Now, solve -2x = 6 for x
Divide both sides by -2
Simplify
For y - x = -2 plug in x = -3
Subtract 3 from both sides
Simplify
The solution to the system of equations is:
(x, y) = (-3, -5)
Checking the graph
From the graph, it is also clear that (4, 2) is NOT a solution to the system of equations because (-3, -5) is the only solution as we have found earlier.
Therefore, we conclude that (4, 2) is NOT a solution to the system of equations.
Answer:
The domain of this exponential function is (all real numbers).
Step-by-step explanation:
The domain is all real numbers because according to the x-axis the function passes through all numbers the negative and positive. As you see the graph is continuous which means it will keep on going.
I hope this helps!
