Answer:
A. x = 5 (Equation below)
B. AC = 9 | BD = 9
Step-by-step explanation:
A. Since we know the diagonals of an isosceles trapezoid are congruent, we know that the two bottom parts of the diagonal BD (2x - 8 and x - 4) are congruent to the diagonal AC (x + 2) . This means you can just equal them together and get the value of x:
2x - 8 + x - 4 = x + 2
3x - 12 = x + 2
3x = x + 14
2x = 14
x = 7
B. Just plug in 5 for x:
AC = x + 2 = 7 + 2 = 9
BD = 2x - 8 + x -4 = 3x - 12 = 21 - 12 = 9
35 / 5 = 7 ; also 49 /7 = 7
So
? = 8 x 7 = 56
Answer
Missing side length = 56
Answer:
-6
Step-by-step explanation:
the x value is just plugging that number in for x so
-3x-8=10 (add 8 to both sides) so
-3x=18 (divide by -3 on both sides) so
x=-6
