If ABCD is an isosceles trapezoid. Write and equations and solve it to find x. Then find AC and BD
AC = 2x + 9
BD = 7x - 1
equation:
work:
x:
We know that in an isosceles trapezoid, the non-parallel sides are congruent. Therefore, we can set up the following equation:
2x + 9 = 7x - 1
Simplifying, we get:
-5x = -10
Dividing by -5, we get:
x = 2
Now that we know the value of x, we can find AC and BD:
AC = 2(2) + 9 = 13
BD = 7(2) - 1 = 13
Therefore, both AC and BD are equal to 13 units.