Directions - For the following problem, write a paragraph proof to justify each step you make. All work must be neat,
easy to read and simple to follow. Number steps if necessary. All work must be in fractional form.
If PT = x, PQ = 3x and SR = x, find PS in terms of x.

Solution:

Given PRQ is a triangle.

ST is a line parallel to RQ.

Triangle proportionality theorem,

If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.

Do cross multiplication, we get

Divide by 2x on both sides, we get

answer;

the correct answer

just use google you beautiful person.

have a nice day < 3

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value