Using vertical angles, it is found that:
A. The solution for y is of y = 4.
B. The angle measures are given as follows:
<h3>Vertical Angles</h3>
If two angles are opposite by the same vertex in crossing segments, these angles are called vertical angles, and they are congruent, that is, they have the same measure.
In the context of this problem, the angles of 6y + 42 and of 66 are vertical, hence the value of y is calculated as follows:
6y + 42 = 66
6y = 24
y = 24/6
y = 4.
Angles A and C are supplementary, meaning that the sum of their measures is of 180º, hence:
<C + 66º = 180º
<C = 180º - 66º
<C = 114º.
Angles C and D are vertical, hence the measure of angle D is calculated as follows:
<D = 114º.
More can be learned about vertical angles at brainly.com/question/1673457
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Answer: y=-3x+10
Step-by-step explanation:
M= 2-0/3-5 = -3
Y-1= -3(x-3)
-3x+9+1
Y=-3x+10
Answer:
We conclude that apartments are 1200 square feet, on average, as advertised.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 1200 square feet
Sample mean, = 1160
Sample size, n = 9
Alpha, α = 0.01
Sample standard deviation, s = 120
First, we design the null and the alternate hypothesis
We use one-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,
We fail to reject the null hypothesis and accept the null hypothesis.
Thus, we conclude that apartments are 1200 square feet, on average, as advertised.
Answer:
Step-by-step explanation:
The temperature T(d) in degrees Fahrenheit in terms of Celsius d is given by:
And the temperature C(v) in degrees Celsius in terms of Kelvin v is given by:
We want the formula for the temperature F(v) in degrees Fahrenheit in terms of the Kelvin temperature.
So, we can use a composition of functions. Since T(d) outputs the temperature in Fahrenheit and C(v) inputs the temperature in Kelvin, T(C(v)) will be the temperature in Fahrenheit given the temperature in Kelvin. So:
Substitute:
Therefore: