Can someone explain how to answer this? in advance.

Alright, so before we can answer this problem we need to go over some basics! For this problem, you'll need to know:

The Triangle Sum theorem states that the interior angles of every triangle must add up to 180 degrees.

Also, corresponding angles are angles that have the same relative position when 2 lines intersect. Therefore, angle I and angle K are corresponding (and as an example, angle J and angle H are corresponding). When lines are parallel (Line HI and Line JK), corresponding angles are equal.

Now that we've covered that, we can use that information to find x!

Let's start with finding angle I since we know it'll be equal to angle X. We also now know that angle H + angle A + angle I = 180. So, plug it in.

56 + 66 + I = 180.

122 + I = 180

Then subtract on both sides:

I = 58.

Since I = X we now know that angle x = 58 degrees.

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.