In the figure shown, What is the value of x? a. 57° b. 123° c. 33° d. 147°

d. 147 degrees

Explanation:
Please check the picture attached after reading the explanation :)

Assuming that l1 and l2 are parallel, we can identify that the angle at the intersection point of l3 and l2 is the alternate exterior angle of the angle that measures 57 degrees.

This means that that angle also measures 57 degrees.

We can see that l2, l4 and l3 form this little triangle at the corner and we now know that one of its angles measure 90 degrees and the other measures 57 degrees.

In a triangle, the sum of all its interior angles is equal to 180 degrees so we can find the last angle of the triangle by subtracting 90 and 57 from 180.

180-57-90
=33 degrees

A straight lines has an angle measure of 180 degrees as well, so we can find angle x by subtracting 33 from 180.

180-33
=147

Therefore, the measure of angle x is 147 degrees.

I hope this helps!

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph

there is a hike in both the graphs so the graphs are increasing on their domain.x-intercept of log x and log 6x are differentthere is a vertical asymptote of both the graphs so there is no y-interceptas both the graphs are increasing so there is no horizontal asymptote