Answer:
x = 26
Step-by-step explanation:
The parallel lines are Line l and Line m. The other line shown is the transversal.
When 2 parallel lines are cut by a trasversal it creates 4 euqual angles and another 4 equal angles of different measure.
The angle "5x + 7" is equal to the angle "8x - 71" since they are <em><u>alternate exterior angles.</u></em>
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So, we can equate both expressions and use algebra to solve for "x". The process is shown below:
![5x+7=8x-71\\8x-5x=71+7\\3x=78\\x=\frac{78}{3}\\x=26](https://tex.z-dn.net/?f=5x%2B7%3D8x-71%5C%5C8x-5x%3D71%2B7%5C%5C3x%3D78%5C%5Cx%3D%5Cfrac%7B78%7D%7B3%7D%5C%5Cx%3D26)
Hence,
the value of x is 26
Answer:Perry and Lorna take the maximum time and Maria and Lorna take the minimum time when they work together.
Explanation: Since, according to the question- Perry takes time when he works alone = 3 hours
Similarly, Maria takes = 2 hours, While Lorna takes= 2 hours 30 minutes or 2.5 hours.
since, there are three people thus their are three possibility to choose any two of them.
1- when Perry and Maria work together then time taken by them is
=
= 6/5= 1 hour 12 minutes.
2- when Maria and Lorna work together then time taken by them is
= 10/9= 1 hours 1/9 minutes ≈ 1 hours 7 min
3- when Perry and Lorna work together then time taken=
= 15/11= 1 hour 4/11 minutes≈ 1 hours 21 minutes
From the above explanation, it has been proved that when we talk about 2 members team then Perry and Lorna take the maximum time. While Maria and Lorna take the minimum time when they work together.
Answer:
2x + 3y = 0
Step-by-step explanation:
It is clear from the graph that the straight line passes through the point (0,0) i.e. origin.
So, in the slope-intercept form of the equation, there will be no y-intercept.
Hence, the equation of the straight line will be simply y = mx ...... (1)
Now, it is already shown in the graph that the straight line (1) passes through the point (3,-2) point.
So, from equation (1), -2 = 3m, ⇒
Therefore, the equation (1) becomes
⇒ 2x + 3y = 0 (Answer)
Answer:
question 10 is B
Step-by-step explanation: