The picture is difficult to read, but it looks like
∠ADB = 2x²
∠ACB = 10x
These two angles have equal measure, so you have
2x² = 10x
2x(x -5) = 0 . . . . . subtract 10x and factor
x = 0, or x = 5
The measure of arc AB is twice the measure of either inscribed angle, so would be
arc AB = 2×10x
= 2×10×5
= 100 . . . . . degrees
Arc AB is 100°.
Answer: When f(x)=g(x) , x equal to -2 or -1
Step-by-step explanation:
The answer will be x=2i,-2i
<span>3780
If you consider every letter in the word "tennessee" to be unique there is 9!, or 362880 different ways to arrange the letters. So let's use that as a starting point.
Now there's 4 e's, which we really don't care how they're arranged. So divide by 4!, or 24. Giving us 362880/24 = 15120 different ways to arrange the letters.
There's also 2 n's. So divide by 2!, giving us 15120/2 = 7560 different ways.
Don't forget the s's either. So another division by 2!, giving 7560/2 = 3780 different ways.
And there's no more duplicate letters, so the final figure is 3780 different ways to arrange the letters in the word "tennessee".</span>
Answer:
43
Step-by-step explanation:
Vertically opposite angles.
Here,
b=43 (being vertically opposite angles )