Answer:
The solution set is x < 2.7
Step-by-step explanation:
To start, get all of the x terms on the right side and all the constant terms on the left.
1/5 + 1/3x > 1/2x - 1/4
1/5 + 1/4 + 1/3x > 1/2x
1/5 + 1/4 > 1/2x - 1/3x
Now give the terms on each side common denominators.
4/20 + 5/20 > 3/6x - 2/6x
9/20 > 1/6x
Now we can multiply both sides by 6.
27/10 > x
2.7 > x
Divide 34.65 by 100 take your answer times that by 23 that should be your answer
Sorry, it's late, and I'm a bad explainer.
The error is adding (2x-12) with x and 30. This is wrong because you are adding the angles inside the triangle and you are assuming that (2x - 12) is the unlabeled angle INSIDE the triangle, when it is the exterior angle/outside of the triangle.
A straight line is also 180°.
(2x - 12) + ? = 180
30 + x + ? = 180
If you look at the equations, and put parentheses around 30 + x, (30 + x) and (2x - 12) should be the SAME NUMBER. So you could set them equal to each other to find x. (or you could also look at the picture and see that they both need/are missing the same angle)
2x - 12 = 30 + x
x = 42
Now you plug 42 into the exterior angle equation
2(42) - 12 = 84 - 12 = 72°
Step-by-step explanation:
We can break this up into pieces, first we do, 7/8 - 1/4, find the least common denominator which is 8, so the equation will be 7/8 - 2/8, which we can now subtract and will give us, 5/8, now that we have done that, we can do 5/8 - 1/2. Since we know that half of 8 (our denominator) is 4. Then the equation would be 5/8 - 4/8, which brings us to 1/8 as our final answer.
Cheers!
Answer:
8
Step-by-step explanation:
