parallelogram ABCD is shown with diagnols, line AC and DB intersecting at point E. If AE = 4x - 3 and EC = 3x - 1, what is the length of line AC?

10

Step-by-step explanation:

So because AC is intersected at the middle, or the midpoint, being E, you can say that both sides of AC; AE and EC, are equal to each other. You can make 4x-3=3x-1 and combine like terms to get X on one side by itself. First, you want to subtract 3x from both sides to move the x from left side and only have it on the right. You should x-3=-1. Then, you want to remove the -3 from the left side and bring it to the right to have x by itself. To cancel the -3 on the left side you have to add 3 on both sides. You should have x=2. Now that you have x, you can plug it into both AE and EC, then add them together. You should have 5 for AE and 5 for EC, and adding them up makes 10. Hope I could help :)

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.