Abcd is a quadrilateral inscribed in a circle as shown. what equation can be used to described to solve for angle c? a) (x+16) + (x) = 180 b) (x+16) + (6x-4) = 180 c) (x+16) - (2x+16) = 180 d) (x+16) + (x) = 90

B is the wright answer. i.e. (x+16) + (6x-4)= 180°

because the sum of opposite angles inclosed in a circle is straight angle.

B.

Step-by-step explanation:

When we have a quadrilateral inscribed in a circle, the opposite angles (those are the angles in the diagonal, for example A and C) add 180°. Then, to find C we take the opposite angle, that is A and add:

C+A = 180

as the angles are with a unknown x, the sum will be an equation to solve:

(6x-4)+(x+16) = 180. So, the answer is B.

d) 48

step-by-step explanation:

16,32,48,64,80,96,112,128,144,160,176,192,208,224,240,256,272,288,304,320,336

see explanation

step-by-step explanation:

a

(6r + 7) + (13 + 7r) ( remove brackets and collect like terms )

= 6r + 7 + 13 + 7r

= 13r + 20

b

remove brackets and collect like terms

13 - r - 1 + r

= 12 - r

c

remove brackets and collect like terms

= - 8 - r + 2r - 4

= - 12 + r

d

remove brackets and collect like terms

= 7r - - - 6r

[-   - = - - = - ]

= r -