This figure shows △xyz . mz¯¯¯¯¯¯ is the angle bisector of ∠yzx . what is xm ? enter your answer, as a decimal, in the box. units a triangle with vertices labeled as x, y, and z. side x z is base. side y x contains a midpoint m. a line segment drawn from z to m bisects angle y z x into two parts labeled as y z m and x z m. angles y z m and x z m are marked with single arc. side y z is labeled 7. base x z is labeled 11. side y m is labeled 3.5.

Length of XM is 5.5 units.

Step-by-step explanation:

Given △XYZ where MZ is the angle bisector of ∠YZX . we have to find the length of XM.

A triangle with vertices  X, Y, and Z. Side XZ is base. A line segment drawn from Z to M bisects ∠YZX into two parts ∠YZM and ∠XZM.

YZ=7 units, XZ=11 units and YM=3.5 units

By angle bisector theorem which states that an angle bisector of an angle divides the opposite side in two segments that are proportional to the another two sides of the triangle.

Hence,

⇒

⇒ MX=5.5 units.

Hence, length of XM is 5.5 units.

1/4 because there is 4 grades.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet