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m=45

RPS =45

Step-by-step explanation:

the sum of angles of triangle=180 degrees

90+45+m=180

triangle PST is the image of triangle PQR

m=180-135=45 degrees

Angle RPS = 45 degrees ( two angles are adjacent when they have common side, ad do not overlap )

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

c

step-by-step explanation: