Given:
In ΔKLM, l = 48 inches, ∠K=55° and ∠L=46°.
To find:
The length of k, to the nearest inch.
Solution:
According to Law of sine,

In ΔKLM, using law of sine, we get



On further simplification, we get



Approximate the value to the nearest inch.

Therefore, the length of k is 55 inch.
These are alternate interior angles.
you would set them equal to eachother and solve for x.
10x=9x+7
subtract 9x from 10x.
x=7
the answers are bolded.
I hope this helps
Answer:
The approximate height of the paint can is 8.2 in
Step-by-step explanation:
we know that
The volume of the cylinder ( can of paint) is equal to

we have



Substitute the values and solve for h
231=(3.14)(3)^{2} h
h=231/(3.14*9)=8.2 in
Reduces to ,7=19. no solutions