Join the IDNLearn.com community and start exploring a world of knowledge today. Ask your questions and receive comprehensive, trustworthy responses from our dedicated team of experts.
Answer: 9. x=4 ST=11
10. x=17 UW=67
Step-by-step explanation:
9.
[tex]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\\[/tex]
Divide both parts of the equation by 7:
[tex]x=4\\ST=x+7\\ST=4+7\\ST=11[/tex]
10.
[tex]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[/tex]
Divide both parts of the equation by 2:
[tex]17=x\\UW=6x-36\\UW=6*17-35\\UW=102-35\\UW=67[/tex]