Solve for x in the diagram

x in the diagram is 12°

Step-by-step explanation:

There are three angles on the straight line drawn on the picture, which are 90° , (6x - 2)° , and 20°.

To solve for x;

Sum of all angles on a straight line is 180°

90° + (6x - 2)° + 20° = 180°

open the bracket

90° + 6x° - 2° + 20° = 180°

6x° + 108° = 180°

collect all like terms to a side

6x° = 180° - 108°

6x° = 72°

divide both sides by 6

x° = 72/6

x° = 12°

AnswerCheck

(6x - 2)° + 20° = 90°

[6(12) - 2]° + 20° = 90°

[72 - 2]° + 20° = 90°

70° + 20° = 90°

90° = 90°

correct !!

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation: