Question

Find q
(7q-46)
(3q+6)

Answer 1

need pts

Explanation:

Answer 2

`q = 22`

Explanation:

The angle measure of a straight line is (180) degrees As given in the picture, line (AC) is a straight line, thus its angle measure is (180) degrees. Angles (ABD) and (DBC) make up line (AC). Therefore, one can conclude that the sum of angles (ABD) and (DBC) is (180) degrees. Form an equation, simplify and use inverse operations to solve for the unknown parameter (q).

`(<ABD) + (<DBC) = (AC)`

Substitute for the angle measures,

`(7q-46)+(3q+6)=180`

Simplify,

`10q-40=180`

Inverse operations,

`10q-40=180\\\\10q = 220\\\\q = 22`