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
5^4 / 5 = 5^4 * 5^(-1) = 5^(4-1) = 5^3 = 125
<h2>circumference = 50.24cm</h2><h2>area = 200.96cm²</h2>
Step-by-step explanation:
radius (r) = 8cm
circumference = 2π×r
= 2 × 3.14 × 8
= 50.24cm
area = π × r²
= 3.14 × 8 × 8
= 200.96cm²
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