Answers:
x = 6
Each angle is 45 degrees
The diagram is shown below
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Explanation:
Vertical angles are always congruent
Set the two expressions equal to each other and solve for x.
5x+15 = 3x+27
5x-3x = 27-15
2x = 12
x = 12/2
x = 6
As a way to check the answer, replace x with 6 in each expression. We should get the same thing on both sides
5x+15 = 3x+27
5*6+15 = 3*6+27
30+15 = 18+27
45 = 45
Each angle is 45 degrees, so the answer is confirmed.
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The diagram is shown below. There are infinitely many ways to draw out the diagram. In the version I drew, the angles aren't vertically aligned but instead they are opposite one another in this X configuration. So the vertical angles could be vertically aligned, but they don't have to be.
In short: draw an X shape and mark any two opposite angles to form the vertical angles.
Answer:
-2,-4
Step-by-step explanation:
Answer:
A) f(x) = 2x + 3
B) f(x) = x - 5
C) f(x) = 2x + 4
Step-by-step explanation:
To find - Please write the function(x) from the given rules:
A) Twice the input value plus three.
B) The input value minus five.
C) To get the output, multiply the input by two, then add four.
Proof -
Let us assume that the input = x
The output = f(x)
Now,
A)
f(x) = 2x + 3
B)
f(x) = x - 5
C)
f(x) = 2x + 4
Answer:
475.
Step-by-step explanation:
We have been given that for a normal distribution with μ=500 and σ=100. We are asked to find the minimum score that is necessary to be in the top 60% of the distribution.
We will use z-score formula and normal distribution table to solve our given problem.
Top 60% means greater than 40%.
Let us find z-score corresponding to normal score to 40% or 0.40.
Using normal distribution table, we got a z-score of 
.
Upon substituting our given values in z-score formula, we will get:
Therefore, the minimum score necessary to be in the top 60% of the distribution is 475.
