Answer:
- Option <u>B </u>is correct i.e. <u>2</u><u>1</u>
Step-by-step explanation:
In the question we're provided with an equation that is :
And we are asked to find the solution for the equation .
<u>Solution</u><u> </u><u>:</u><u> </u><u>-</u>
<u>
</u>
Multiplying by 7 on both sides :

On further calculations , we get :

- <u>Therefore</u><u> </u><u>,</u><u> </u><u>solution</u><u> </u><u>for</u><u> equation</u><u> </u><u>is </u><u>2</u><u>1</u><u> </u><u>.</u><u>That </u><u>means</u><u> </u><u>option </u><u>B </u><u>is </u><u>the </u><u>correct</u><u> answer</u><u>.</u>
<u>Verifying</u><u> </u><u>:</u>
We are verifying our answer by substituting value of v in the equation given in question :

Putting value of v :

By dividing 21 with 7 , we get :



- <u>Therefore</u><u> </u><u>,</u><u> </u><u>our </u><u>answer</u><u> is</u><u> valid</u><u> </u><u>.</u>
<h2>
<u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>
Answer:
x = 14
m∠SOP = (7x - 2)° = 96°
m∠SOR = (5x + 14) = 84°
Step-by-step explanation:
`From the given picture,
Angle SOP and angle SOR are the linear pairs.
Therefore, sum of these angles will be equal to to 180°.
m∠SOP + m∠SOR = 180° -----(1)
Since, m∠SOP = (7x - 2)° and m∠SOR = (5x + 14)°
[There is a misprint in this question. There should be x in place of y in the measures of the angles]
By substituting these values in the equation (1),
(7x - 2) + (5x + 14) = 180
12x + 12 = 180
12x = 180 - 12
12x = 168
x = 
x = 14
m∠SOP = (7x - 2)° = 96°
m∠SOR = (5x + 14) = 84°
Number of people that chose salad = 81
Percentage of people that chose salad over meat dish = 27%
Let us assume the number of people on the survey = x
Then
27% * x = 81
(27/100) * x = 81
27x = 81 * 100
27x = 8100
x = 8100/27
= 300
So a total of 300 people participated in the survey.I hope the procedure is clear enough for you to understand. Based on this method you can always solve similar types of problems without requiring any kind of help from outside.
When you have two squares stacked on top of each other, pretend the angle in the bottom left of the top square is a 90 degree angle, that means that the angle of the square right underneath, also sharing the line, is a 90 degree angle. Or whatever you would need to get it equal to 180, my example was 90/90.
The probability would be 2/6 or 1/3