Answer:
45
Step-by-step explanation:
x + x + 2x = 180 {Sum of angles of a triangle}
4x = 180 {Divide both sides by 4}
x = 180/4
x = 45
Let a, b and c be in a geometric sequence, then ac = b^2
Hence, (2k + 1)(7k + 6) = (3k + 4)^2
14k^2 + 19k + 6 = 9k^2 + 24k + 16
5k^2 - 5k - 10 = 0
5k^2 + 5k - 10k - 10 = 0
5k(k + 1) - 10(k + 1) = 0
(5k - 10)(k + 1) = 0
5k - 10 = 0 or k + 1 = 0
5k = 10 or k = -1
k = 2 or k = -1
The geometric sequence formed is
2(2) + 1, 3(2) + 4, and 7(2) + 6
5, 10, and 20
OR
2(-1) + 1, 3(-1) + 4, and 7(-1) + 6
-1, 1, and -1
2(x + 1) - 3x = 0
2x + 2 - 3x = 0
-x + 2 = 0
-x = -2
Divide -1 on both sides
x = 2
2 kg is bigger because 1 kg=1000 g and so 1500 g would equal 1.5 kg which is smaller than 2 kg
∠EFD ≅ ∠EGD
∠EGD ≅ ∠ECDf
Arc E D is-congruent-to arc F D
