Answer:
x = 90, y = 43
Step-by-step explanation:
By the SAS theorem (as you can tell by the picture) angles B and C are similar, which means they are both 47 degrees.
Since the triangles are similar (SAS theorem) then angle x must be equal to 90 degrees, because they are on a straight line both angles would need to add up to 180 degrees.
Now that you have two angles out of three, you can solve for the last angle by setting up this equation:
B + D + A = 180
47 + 90 + A = 180
Add 47 and 90 together.
137 + A = 180
Subtract 137 from both sides.
A = 43
x = D and y = A, therefore x = 90 and y = 43.
Answer:
20% profit margin!
Step-by-step explanation:
Let suppose If the cost of a bucket is $100.
As the bucket is sold to 1/5 of the bucket cost.
i.e. 1/5 × 100 = $20
We know that 20% of 100 is 20.
i.e. 20/100 × 100 = 20
It mathematically means if the cost of the bucket was 100, and he sold at a profit equal to one - fifth of its cost price. It indicates that he earned a $20 profit. In other words, the person got a 20% profit percentage.
Note: I tried to take sample costs like $100 to make you understand as simple as I can.
Thus, if a bucket is sold at a profit equal to one - fifth of its cost price, the profit margin will always 20%, because if there are 5 parts of an object, 1 part makes the 20%.
I hope you get my point.
Answer:
Yes, because they both have two sets of parallel lines.
Hope that helps!
Step-by-step explanation:
Answer:
251.20 cm square
Step-by-step explanation:
As given in figure
height of cylinder = 2 cm
radius of cylinder = 8 cm
lateral surface area of cylinder is given by = 
where r is the radius and l is the height
Therefore, lateral surface area of given cylinder
area of base is give by 
since there is only one base area of that base
= 
Thus,
Total surface area of open cylinder = 50.24 + 200.96 = 251.20 cm square
Answer:
1080000
Step-by-step explanation:
