Question

Please help!! work due tmrw and im stuck on the first half

Answer 1

Answer: 9. x=4 ST=11

10. x=17 UW=67

Explanation:

9.

`RS+ST=RT\\RS=6x+1\ \ \ \ \ ST=x+7\ \ \ \ RT=36\\Hence,\\6x+1+x+7=36\\7x+8=36\\7x+8-8=36-8\\7x=28\\`

Divide both parts of the equation by 7:

`x=4\\ST=x+7\\ST=4+7\\ST=11`

10.

`UV+VW=UW\\UV=19\ \ \ \ UW=4x-20\ \ \ \ UW=6x-35\\Hence,\\19+4x-20=6x-35\\4x-1=6x-35\\4x-1-4x=6x-35-4x\\-1=2x-35\\-1+35=2x-35+35\\34=2x`

Divide both parts of the equation by 2:

`17=x\\UW=6x-36\\UW=6*17-35\\UW=102-35\\UW=67`