Answer:
83 degrees
Step-by-step explanation:
In order to find the angle x, you need to find all the angles inside the triangle.
You have already been given the angle 43 degrees, which is inside the triangle, but you dont know the other angle inside the triangle.
However, you have been given the angle 126 degrees, which is outside the triangle.
You can see that the base of the triangle consists of a straight line. And the angles on a straight line add up to 180 degrees.
So to find the missing internal angle of the triangle:
180 - 126 = 54 degrees.
Now you have 2 internal angles, but you are missing one, which is x.
all the angles in a triangle add up to 180 degrees.
T
herefore to find x, you add the two internal angles of the triangle and then subtract it from 180 degrees:
180 - (54 + 43) = 83 degrees
Sorry for the longwinded explanation, but I hope it helps.
(-12 - 8)/(6 - 8) = -20/-2 = 10.
It's positive.
Answer:
Step-by-step explanation:
First find the equations of the lines, then fill in the proper inequality sign. The upper line has a y-intercept of 1 and a slope of 1/2, so the equation, in slope-intercept form is

Since the shading is below the line, the inequality sign is less than or equal to. The inequality, then, is

But the solutions are in standard form, so let's do that:

AND they do not like to lead with negatives, apparently, so let's change the signs and the way the inequality is facing, as well:

Let's do the sae with the lower line. The equation, in slope-intercept form is
since the slope is 3/2 and the y-intercept is -3. Now, since the shading is above the line, the inequality is greater than or equal to:

In standard form:
and not leading with a negative gives us

Those 2 solutions are in choice B, I do believe.
Step-by-step explanation:
(x - 2)(2x + 3)
=2x²+3x-4x-6
=2x²-x-6
Answer:
-1/8
Step-by-step explanation:
