{{ item.displayTitle }}

No history yet!

Student

Teacher

{{ item.displayTitle }}

{{ item.subject.displayTitle }}

{{ searchError }}

{{ courseTrack.displayTitle }} {{ statistics.percent }}% Sign in to view progress

{{ printedBook.courseTrack.name }} {{ printedBook.name }} We know that $SM$ has the same length as $MP$ because they have matching tick-marks. This means that $M$ is the midpoint of $SP.$ Therefore, $M$ is the segment bisector.

Since $SM$ and $MP$ are the same, the expressions for their lengths must be equal. We can set the two expressions equal to one another and solve for $x.$ The length of $SM$ is given by $7x+5.$ We can substitute $5$ for $x$ to find $SM.$