Someone please help me out!!

D 3/4

Step-by-step explanation:

imagine a circle with its center in point A and going through point C.

the radius of that circle is 50 (AC).

remember, tan of an angle is sin/cos of that angle.

now rotate in our imagination that triangle to the right around point A, so that the side AB becomes the bottom base line.

now you see that 30 = sin(A)×radius = sin(A)×50

and 40 = cos(A)×radius = cos(A)×50

so, tan(A) = (sin(A)×50)/(cos(A)×50) = sin(A)/cos(A) = 30/40

= 3/4

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

something over 10 so ? /10

step-by-step explanation: