Fill in the blank
a valid expression for c in terms of x is
this is due

c=  x/sin 30

or

c = x / cos 60

Step-by-step explanation:

sin theta = opposite side / hypotenuse

sin 30 = x /c

Multiply each side by c

c sin 30 = x/c *c

c sin 30 = x

Divide each side by sin 30

c sin 30/sin 30 = x/ sin 30

c=  x/sin 30

Another valid expression would be

cos  theta = adjacent side / hypotenuse

cos 60 = x/c

Multiply by c

c cos 60 = x/c *c

c cos 60 =x

Divide by cos 60

c cos 60/ cos 60 = x / cos 60

c = x / cos 60

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation:

the battle of gettysburg is considered the "high water mark" of the confederacy because it marked the greatest advance of the confederate forces against the union.