x + 30 = 2x (since angleA = angle D, due to congruency between the two triangles.)
30 = 2x - x
30 = x
hope it helps...!!!
-6, all of them are the absolute value of 6 or just 6, -6 isn't equivalent to 6.
I am assuming you want to solve for x:-
Now cosec^2 2x = 1 - cot^2 2x so the equation becomes
3 cosec^2(2x) + 2 cosec 2x = cosec^2 2x
2 cosec^2 2x + 2 cosec 2x = 0
2 cosec 2x ( cosec 2x + 1) = 0
so 2 cosec 2x = 0 or cosec 2x = -1
cosec 2x = 0 or cosec 2x = -1
cosec 2x = 0 is indeterminate so we ignore the first one
cosec 2x = -1 can be written as 1 / sin 2x = -1
so sin 2x = -1
giving 2x = 270 degrees
Therefore x = 135 degrees answer
Number 6 is c because 99/108 to the smallest form is 11/12
"The digit at tens place is four times the digit at units place."
How many possible numbers are there?
1 in the units place: 41
2 in the units place: 82
If you try 3 in the units place, 4 * 3 = 12, you'd get 123, and now it's a three-digit number, so the only possibilities are 41 and 82.
41 or 82
If you subtract 54 from 41, you get a negative number, so 41 cannot be the number.
82 - 54 = 28, which has the digits of 82 in reverse order.
Answer: 82
