Step-by-step explanation:
-7x + 2y = 18
6x + 6y = 0
21x - 6y = - 54
6x + 6y = 0
27x = -54
x = -2
6(-2) + 6y = 0
-12 + 6y = 0
6y = 12
y = 2
(-2,2)
The answer to 3/4 divided by 5/6 = 9/10
My understanding is that the 2 angles add up to 180 degrees, so 9x+9y-54=180. Also, 9x=90 and 9y-54=90. 9x=90, so x=10. 9y=90+54. 9y=144. y=16.
Answer:

Step-by-step explanation:
Given


See attachment for prism
Required
Find x
The prism has a regular hexagon base
The base area is calculated as:

This gives:




Side x represents the height.
So, we have:

Make x the subject




--- approximated
Given:
Consider the below figure attached with this equation.
To find:
Length of side ZX.
Solution:
From the figure it is clear that, WXY is a right angled triangle.
According the 30°-60°-90° theorem, the longer leg (opposite to 60° angle) of the right-angled triangle is
times of shorter leg (opposite to 30° angle).
In the below figure, WY is longer leg and XY is shorter leg.



So, the length of XY is 8 units.
VWYZ is a rectangle, so

Now,



So, the length of ZX is 18 units.
Therefore, the correct option is C.