#11 - In the diagram of triangle PST, QR is parallel to ST with PQ = 10 and
QS = 4. It is known that PR is 9 units longer than RT. Determine the length
of RT. *

Step-by-step explanation:

In the image attached, you can observe a representation of the problem.

Notice that we have two parallel lines with two transversal. That means we can use the proportionality theorem to create the following expression

Where , and .

Replacing all values, and solving for the unknown quantity, we have

Therefore, the length of RT is 3.6 units.

5x+10 is the correct one

hope this

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c