In the right-angled triangle abc, ac is the hypotenuse with length 8cm, and ab=6 cm. Work out the length of bc, giving your answer as a simplified surd.

Step-by-step explanation:

Hypotenuse = AC = 8 cm

AB = 6 cm

 BC² + AB² = AC²

BC² = AC² - AB²

       = 8² - 6²

       = 64 - 36

       = 28

BC = 5.29 cm

(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