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In Isosceles Triangle RST RSST\overline { R S } \cong \overline { S T }

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In isosceles triangle RST , RSST\overline { R S } \cong \overline { S T } . If RS=2x+3R S = 2 x + 3 , RT=xR T = x , and the perimeter of RST\triangle R S T is 36, find the value of x .


Definitions:

Repeated Games

A series of game theory scenarios in which the same game is played multiple times, allowing for strategy development based on previous outcomes.

Reciprocity

A mutual exchange of privileges, goods, or services between two parties, based on a principle of giving and receiving in equal measure.

Payoffs

The returns or benefits received from a particular action or investment.

Kinked-Demand Curve

A theory in economics suggesting that a firm's price will be rigid and unlikely to change because competitors will match price decreases but not price increases.

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