Answer:
50
Step-by-step explanation:
Because of supplementary angles that line has to equal to 180
180-75 = 105
so 105 = (2x + 5)
you can subtract 5 from each side and get
100 = (2x)
then divide each side by 2 and you get
x = 50
you can check it by doing (2 x 50 + 5)
2 x 50 = 100 + 5 = 105 + 75 = 180
 
        
                    
             
        
        
        
This question has to do with making an approximation based on the diagram of the angle. Angle KLM is an obtuse angle meaning it is larger then 90° but is also less than 180°. The only choices that lie within this range are choices B and D. However, it is safe to assume that angle KLM is closer to 180° than to 90° based on the diagram, therefore the answer must be choice B.
I hope this helps.
        
             
        
        
        
When written in the  form, the slope of a line is given by the coefficient
 form, the slope of a line is given by the coefficient  . Moreover, two lines are parallel if the have the same slope.
. Moreover, two lines are parallel if the have the same slope.
Now, the slope of the known line is 4, so our line's slope will be four as well.
In general, when you know the slope  of a line and one of its points
 of a line and one of its points  , the equation of the line can be derived from the following formula:
, the equation of the line can be derived from the following formula:

Which in your case becomes

Expand the right hand side and solve for y:

 
        
             
        
        
        
9514 1404 393
Answer:
   a. $4.17
   b. 233.3%
Step-by-step explanation:
a. The proportion the markup (m) is to the total (t) is ...
   m : t = 7 : 10
The total is the cost (c) plus the markup, so we have ...
   m : t = 7 : 10 = m : (m +c) = 7 : 7 +3
Then the ratio of total price to cost is ...
   t : c = 10 : 3
The menu price of the pie slice will be ...
   $1.25 × 7/3 ≈ $4.17
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b. The ratio of markup to cost is ...
   m : c = 7 : 3 ≈ 2.333 = 233.3%