What value of x would make lines l and m parallel?
provide an explanation if you can.

A.  

Step-by-step explanation:

We have been given an image of a triangle and we are asked to find the value of x that would make lines l and m parallel.

Since we know that corresponding angles formed by parallel lines are equal.  

We can see that angle x corresponds to angle that is between 55 degree and 50 degree angle, so to be line m parallel to l, the measure of x must be equal to that angle.

Since 55 degree, 50 degree and corresponding angle to x are supplementary angles, so we can set an equation as:

Therefore, the value of will make lines l and m parallel and option A is the correct choice.

y-y1=4(x-x1)

step-by-step explanation:

this is point-slope form since you only have 4 as the slope it goes in place of m

hope this : )

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.