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°
Answer:
F(1,5)
Step-by-step explanation:
This is a vertical parabola.
The vertex is at (1,4).
The directrix is y=3.
The distance from the vertex to the directrix is p=1
The focus is (1,4+p), which is (1,4+1)
Therefore the focus is (1,5)
ANSWER: 5 17/23 hrs (5.7391...)
How?
T = 11 hrs
K = 12 hrs
Together = X
1/11x + 1/12x = 1/x
11x/132 + 12x/132 = 132/132
11x x 12x = 23x —> 23x = 132 (divide 132 by 23x)
= 5.73913043 (5 17/23)
Answer:
360 students
Step-by-step explanation:
We start off with 368.
Then 72 leave the school, so subtract 72 from our total.
368 - 72 = 296
But, then 64 new students join, so add this to our new total.
296 + 64 = 360.
Ask any questions you have in the comments, and if this helps, maybe consider giving a Brainliest :P
<span>3x^2 = 7x - 3
Rearranging,
</span><span>3x^2 - 7x + 3 = 0
</span>Using quadratic formula :
x= [7 + sqrt (49 - 36)]/6
x= [7 + sqrt 13]
or
x= [7 - sqrt (49 - 36)]/6
x= [7 - sqrt 13]/6
<span>d. x - 7 plus or minus the square root of 13 divided by 6</span>