100 pts, need help, please. Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
For the right triangle shown, the lengths of the two sides are given. Find the third side. Leave your answer in simplified, radical form.

a = 4, b = 4, c =

4 sqrt(2) = c

Step-by-step explanation:

We can use the Pythagorean theorem to solve

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

4^2 + 4^2 = c^2

16+16 = c^2

32 = c^2

Take the square root of each side

sqrt(32) = sqrt(c^2)

sqrt(16*2) = c

sqrt(16) sqrt(2) = c

4 sqrt(2) = c

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180