Question
Consider this system of equations. Which shows the second equation written in slope-intercept form?
A. 
B. 
C. 
D. 
Answer:
B.
Step-by-step explanation:
Given
Equation 1:
Equation 2:
Required:
Equivalent of equation 2
To get an equivalent of equation 2 (in slope intercept form), first we have to simplify equation 2
Open the bracket
Simplify fraction
Divide through by 2
Re-arrange
The next step is to compare each of option A through D with
A.
is not equal to
We check the next available option
B.
is equal to
This option is equivalent to the second equation in slope-intercept form.
We check further if there are more equivalent options
C.
Convert fraction to decimal
This is not equal to
D.
Convert fraction to decimal
This is not equal to
Hence, the only equation that is equivalent to the second equation written in slope intercept form is Option B
Answer:
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Step-by-step explanation:
Answer:
There are 10 cards in total.
The probability of choosing card with the number 4 is 1/10.
The probability of choosing card with the number 1 is 2/10 = 1/5 (since there are 2 cards with the digit 1 - 1, 10)
1. The value of x is 40
m ∠2x + 10 = 90
m ∠3x = 120
m ∠2x +5 = 85
m ∠2x -15 = 65
2. The value of x is 15
m ∠5x = 75
<h3>Calculating angles</h3>
From the question, we are to determine the value of x and the given angles
Since sum of angles is 360°
3x + 2x + 10 + 2x + 5 + 2x -15 = 360°
Collect like terms
3x + 2x + 2x + 2x = 360° - 10° - 5° + 15°
9x = 360
x = 360 / 9
x = 40
∴ x = 40
Then,
m ∠2x + 10 = 2(40) + 10
m ∠2x + 10 = 80 + 10
m ∠2x + 10 = 90
m ∠3x = 3(40)
m ∠3x = 120
m ∠2x +5 = 2(40) + 5
m ∠2x +5 = 80 + 5
m ∠2x +5 = 85
m ∠2x -15 = 2(40) - 15
m ∠2x -15 = 80 - 15
m ∠2x -15 = 65
Hence, the measure of angle 2x-15 is 65
2.
Since sum of angles is 180°
Then,
5x° + x° + 90° = 180°
6x° = 180° - 90°
6x° = 90°
x = 90/6
x = 15
m ∠5x = 5(15)
m ∠5x = 75
Hence, the measure of angle 5x is 75
Learn more on Calculating angles here: brainly.com/question/15820650
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This is wanting you to find the average. So add up the services and divide them by the number of services. The answer is Allcante Royal Hotel, which has a mean of 8. The other one has a mean of 7
