Find the measures of the angles of a triangle if the smallest angle measures 107º less than the largest angle, and the third angle is one third of the measure of the largest angle

Step-by-step explanation:

x        - the measure of the largest angle

x - 107°        - the measure of the smallest angle

¹/₃x     - the measure of the third angle

x + x - 107° + ¹/₃x = 180°

2¹/₃x = 180° + 107°

⁷/₃x = 287°

x = 287°÷⁷/₃

x = 287° · ³/₇

x = 123°

x-107° = 123° - 107° = 16°

¹/₃x = ¹/₃ · 123° = 41°

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

10 b/c 5*2 =10

step-by-step explanation: