Answer:
D: 2.67
Step-by-step explanation:
Assuming that both vertical lines are parallel, there are rules regarding angle sizes.
The rule that is specific to this question is alternate angles, this is when two angles are of the same size when they are on opposite sides of the line. This means that both equations equal each other:
10x + 13 = -3 + 16x
Add 3 to both sides to remove the negative 3 and isolate the 16x:
10x + 13 + 3 = 16x
10x + 16 = 16x
Subtract 10x from both sides of the equation to simplify:
10x + 16 - 10x = 16x - 10x
16 = 6x
Divide both sides by 6 to simplify:
6x = 16
[tex]x = \frac{16}{6}\\x = \frac{8}{3}[/tex]
Or in decimal form,
[tex]2.\overline{6} \\= 2.67[/tex]
Hope this helps!
Learn more about alternate angles theorem here:
https://brainly.com/question/24839702
