Answered

Find solutions to your problems with the help of IDNLearn.com's knowledgeable users. Ask your questions and receive comprehensive, trustworthy responses from our dedicated team of experts.

point t bisects line uv. Find uv if ut=2 7/8

Point T Bisects Line Uv Find Uv If Ut2 78 class=

Sagot :

[tex]If\ T\ bisects\ \overline{UV}\ then\ |UT|=|VT|\ and\ |UT|+|VT|=|UV|.\\\\|UT|=2\frac{7}{8}\to|VT|=2\frac{7}{8}\\\\|UV|=2\frac{7}{8}+2\frac{7}{8}=4\frac{14}{8}=4\frac{7}{4}=5\frac{3}{4}\\\\Answer:\boxed{|UV|=5\frac{3}{4}}[/tex]
Kate200468idn
[tex]|SM|= \frac{1}{2} |SU|\\\\\Rightarrow\ \ \ \frac{1}{4} |SU|=x+15\ \ \ and\ \ \ \frac{3}{4} |SU|=4x-45\\\\|SU|=4(x+15)\ \ \ and\ \ \ |SU|= \frac{4}{3} (4x-45)\\\\4(x+15)=\frac{4}{3} (4x-45)\ /\cdot \frac{3}{4} \\\\3(x+15)=4x-45\\3x+45=4x-45\\3x-4x=-45-45\\-x=-90\\x=90\\\\|SU|=4(x+15)=4\cdot(90+15)=4\cdot105=420[/tex]
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Your questions are important to us at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.