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stepan [7]
2 years ago
8

In the diagram below, AB is parallel to CD. what is the value of x?

Mathematics
1 answer:
goldfiish [28.3K]2 years ago
6 0

Answer:

C. 150

Step-by-step explanation:

The given angle and angle x are supplementary. This means that when added together they add to 180. So, to solve you can set up an algebraic equation like 180=x+30. Then, subtract 30 from both sides to get 150=x.

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Read 2 more answers
Is y-4=2(x-2) and 4x-2y=5 perpendicular
djyliett [7]

Answer:

Therefore,

Slopes are Equal, Hence the Lines are not Perpendicular.

Step-by-step explanation:

Given:

y-4=2(x-2)=2x=-4\\\\y=2x .......Equation ( 1 )

4x-2y=5\\2y=4x-5\\\\y=2x-\dfrac{5}{2}  .......Equation ( 2 )

Comparing with,  

y=mx+c ......General Slope point form  

Where m =slope  

We get  

Slope = m1 = 2   For Equation ( 1 )

Slope = m2 = 2   For Equation ( 2 )

Hence,

m1=m2[=2

Therefore, Slopes are Equal Hence the Lines are Parallel not Perpendicular.

For Perpendicular we require

m1\times m2=-1

Therefore,

Slopes are Equal, Hence the Lines are not Perpendicular.

7 0
3 years ago
I just cant with word problems. PLEASE help.
marshall27 [118]
Below is the solution:

<span>8 weeks to earn;
plane ticket 2200 dollars;
job 20(hours/week), 11.5(dollars/hour) versus job 40(hours/week), 100(dollars)+9(dollars/hour) 

Part of the question is how many weeks to work to get the needed money $2200.
Let w be how many weeks. w needs to be a Natural Number, when finished. 

</span><span>Tech Internship

8 x weeks x 20 x (hours/week) x 11.5 x (dollars/hours)
20 x 11.5 w
230w >/ 2200
23w >/ 220 

</span><span>Amusement Park
8 x weeks x 40 x (hours/week) x 9 x (dollar/hour) + 100 dolarrs 
40 x 9 x w + 100
360w + 100 >/ 2200
36w +10 > 0220
18w + 5 >/ 110</span>
4 0
2 years ago
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