10 pts + brainliest for best answer. answer quickly.

m∠AOC = m∠AOB + m∠BOC

We have m∠AOC = 19°, m∠AOB = 4x - 15 and m∠BOC = 2x + 10. Substitute:

19 = (4x - 15) + (2x + 10)

19 = (4x + 2x) + (-15 + 10)

19 = 6x - 5          add 5 to both sides

24 = 6x       divide both sides by 6

4 = x

m∠BOC = 2x + 10 → m∠BOC = 2(4) + 10 = 8 + 10 = 18

m∠AOB = 4x - 15 → m∠AOB = 4(4) - 15 = 16 - 15 = 1

-4

step-by-step explanation:

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950