Answer:
C
Step-by-step explanation:
Answer:
y = 10°
x = 64°
Step-by-step explanation:
Parallelogram is a quadrilateral with the opposite sides parallel to each other. Opposite sides are equal in length. Opposite angles are equal in a parallelogram.
For the figure to be a parallelograms, since opposite angle are equal
12y + 8 = 2x
2x - 12y = 8 ...................(i)
2x + 5y + 2 = 180(supplementary angle)
2x + 5y = 178..............(ii)
combine the equation
2x - 12y = 8 ...................(i)
2x + 5y = 178..............(ii)
make x subject of the formula in equation (i)
2x - 12y = 8 ...................(i)
2x = 8 + 12y
x = 4 + 6y
put the value of x in equation (ii)
2x + 5y = 178..............(ii)
2(4 + 6y) + 5y = 178
8 + 12y + 5y = 178
8 + 17y = 178
17y = 170
divide both sides by 17
y = 170/17
y = 10°
Put the value of y in equation (i)
2x - 12y = 8 ...................(i)
2x - 12(10) = 8
2x - 120 = 8
2x = 128
x = 128/2
x = 64°
Answer:
Total number of milkshakes sold on Monday = 300
Number of milkshakes without whipped cream = 90
Step-by-step explanation:
Given:
Adrienne adds whipped cream to 210 milk shakes which is 70% of the total milk shakes sold.
To find the total milkshakes sold.
Solution:
Let the total number of milkshakes sold on Monday be = 
Percentage of milkshakes with whipped cream added to them = 70%
Number of milk shakes with added whipped cream can be given as:
⇒ 
⇒ 
⇒ 
[Representing percent in fraction form]
⇒ 
[evaluating in decimals]
We know that the number of milkshakes with whipped cream added to them = 210.
So, we have:
Solving for
Dividing both sides by 0.7
∴ 
Thus, total number of milkshakes sold on Monday = 300
Number of milkshakes without whipped cream = 
= 90
Answer:
C'D' = 4
Step-by-step explanation:
When the figure is reflected, the length of the segments does not change.
CD = 4 so C'D' = 4
