The triangles are similar. What is the value of x?

12

Step-by-step explanation:

If we look at the longest sides and shortest sides of both triangles (the sides that have a length we already know), we can see that the scale factor is 68/17 and 32/8, which both equal 4.

So, we know that all sides of the bigger triangle will be 4 times longer than  the sides of the smaller triangle. On the smaller triangle, the second longest leg is 15 units. We also want to find the second longest leg of the bigger triangle.

We know that the length of the second longest leg of the bigger triangle is 60, because 15*4=60.

We have an equation: 60=4x=12

We isolate x:

4x=48

x=12

So, x is 12.

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: