Which expression is equivalent to 1/2 (10a − 8b) + 3(4a − 2) + 1/3 (9 − 6b)? a)5a − 5b + 6b)17a − 6b − 3c)20a − 8b + 7d)24a + 6b + 6

Option: B is the correct answer.

          B)   17a − 6b − 3

The expression is given as:

The expression could also be given by:

which is nothing but:

On combining the like terms:

your answer is 228

step-by-step explanation:

add the top and bottom bases together, then divide them by 2, then multiply by the height.

(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