Py +7 = 6y + qp
Solve the equation for y
To solve the equation for y we need to get y alone
Py +7 = 6y + qp
Subtract 6y from both sides
Py - 6y +7 = + qp
Subtract 7 from both sides
Py - 6y = + qp - 7
Now factor out y
(P - 6)y = qp - 7
Divide by P - 6 from both sides
![y =\frac{qp - 7}{(P - 6)}](https://tex.z-dn.net/?f=y%20%3D%5Cfrac%7Bqp%20-%207%7D%7B%28P%20-%206%29%7D)
![\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}](https://tex.z-dn.net/?f=%5Chuge%5Cunderline%7B%5Coverline%7B%5Cmid%7B%5Cbold%7B%5Cred%7BANSWER%7D%7D%5Cmid%7D%7D%7D)
1. Both are corresponding angles, hence they both are equal, so,
![44x + 2 = 45x \\ = > 2 = 45x - 44x \\ = > 2 = x \\ = > x = 2](https://tex.z-dn.net/?f=44x%20%2B%202%20%3D%2045x%20%5C%5C%20%20%3D%20%20%3E%202%20%3D%2045x%20-%2044x%20%5C%5C%20%20%3D%20%20%3E%202%20%3D%20x%20%5C%5C%20%20%3D%20%20%3E%20x%20%3D%202)
Ans. C) 2
2. They both are in interior corressponding, hence their sum is equal to 180°, so,
![10x + 6 + 104 = 180 \\ = > 10x + 110 = 180 \\ = > 10x = 180 - 110 \\ = > 10x = 70 \\ = > x = \frac{70}{10} \\ = > x = 7](https://tex.z-dn.net/?f=10x%20%2B%206%20%2B%20104%20%3D%20180%20%5C%5C%20%20%3D%20%20%3E%2010x%20%2B%20110%20%3D%20180%20%5C%5C%20%20%3D%20%20%3E%2010x%20%3D%20180%20-%20110%20%5C%5C%20%20%3D%20%20%3E%2010x%20%3D%2070%20%5C%5C%20%20%3D%20%20%3E%20x%20%3D%20%20%5Cfrac%7B70%7D%7B10%7D%20%20%5C%5C%20%20%3D%20%20%3E%20x%20%3D%207)
Ans. D) 7
3. They both are in interior corressponding, hence their sum is equal to 180°, so,
![x + 75 + x + 125 = 180 \\ = > 2x + 200 = 180 \\ = > 2x = 180 - 200 \\ = > 2 x = - 20 \\ = > x = \frac{ - 20}{2} \\ = > x = - 10](https://tex.z-dn.net/?f=x%20%2B%2075%20%2B%20x%20%2B%20125%20%3D%20180%20%5C%5C%20%20%3D%20%20%3E%202x%20%2B%20200%20%3D%20180%20%5C%5C%20%20%3D%20%20%3E%202x%20%3D%20180%20-%20200%20%5C%5C%20%20%3D%20%20%3E%202%20x%20%3D%20%20-%2020%20%5C%5C%20%20%3D%20%20%3E%20x%20%3D%20%20%5Cfrac%7B%20-%2020%7D%7B2%7D%20%20%5C%5C%20%20%3D%20%20%3E%20%20x%20%3D%20%20-%2010)
Ans. A) -10
4. Both are corresponding angles, hence they both are equal, so,
![12x + 3 = 11x + 9 \\ = > 12x - 11x = 9 - 3 \\ = > x = 6](https://tex.z-dn.net/?f=12x%20%2B%203%20%3D%2011x%20%2B%209%20%5C%5C%20%20%3D%20%20%3E%2012x%20-%2011x%20%3D%209%20-%203%20%5C%5C%20%20%3D%20%20%3E%20x%20%3D%206)
Ans. A) 6
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Answer:
It will take 6/13 hours to walk one mile
Step-by-step explanation:
Here, we want to calculate the number of hours it take to walk one mile
From the question, 1 1/2 miles take 3 1/4 hours
the number of hours it will take to walk 1 mile will be;
1 1/2 divided by 3 1/4
= 3/2 divided by 13/4
= 3/2 * 4/13 = 6/13 hours
Answer: 9
Step-by-step explanation: Multiply 3 to itself and you will get nine.
3^2