MATH SOLVE

9 months ago

Q:
# If TU=6 units, what must be true? SU+UT=RT RT+TU=RS RS+SU=RU TU+US=RS

Accepted Solution

A:

In the provided figure of line segment RS, the statement which is true is su + ut = rt. Option A is correct.What is the length of line segment?Length of a line segment is the distance of both the ends of it. The length of the line segment TU is 6 units. [tex]TU=6\rm\; units[/tex]In the figure attached below, the length of line segment RT is 12 and RS is 24. Thus, the value of RS is double than the value of RT.[tex]RT=2RS\\RS=\dfrac{RT}{2}[/tex]RS is the total length of the segment, which is equal to the length of RT and ST.[tex]RT+ST=24\\12+(SU+UT)=24\\(SU+UT)=24-12\\SU+UT=12[/tex]12 is the length of RT. Thus,[tex]SU+UT=RT[/tex]Hence, in the provided figure of line segment RS, the statement which is true is su + ut = rt. Option A is correct.Learn more about the line segment here;