Answer:
A
Step-by-step explanation:
using common sense you can see that the angle of c is obtuse and it would need to be smaller than angles a and b
Answer:
4.) 12
5.)1.67
Step-by-step explanation:
Answer:
Step-by-step explanation:
1) First, find the slope of the line. Use the slope formula 
. Pick two points on the line and substitute their x and y values into the formula, then solve. I used the points (-5,-4) and (0,-6):
So, the slope of the line is 
.
2) Next, use the point-slope formula 
to write the equation of the line in point-slope form. (From there, we can convert it to slope-intercept form.) Substitute values for the 
, 
and 
into the formula.
Since represents the slope, substitute in its place. Since and represent the x and y values of one point on the line, pick any point on the line (any one is fine, it will equal the same thing at the end) and substitute its x and y values in those places. (I chose (0,-6), as seen below.) Then, with the resulting equation, isolate y to put the equation in slope-intercept form:
I think that you assumed that:
2k - 1 = k + 2
However we can't do this, because a square has 4 sides whilst a triangle only has 3 sides.
This means that we can say
4(2k - 1) = 3(k + 2)
We multiply by 4 due to 4 sides of the square, and by 3 due to the 4 sides of the triangle.
Lets expand the brackets, and solve it:
4(2k - 1) = 3(k + 2)
8k -4 = 3k + 6
5k -4 = 6 ( subtract both sides by 3x to collect the x values)
5k = 10 (add both sides by 4 to get the x's alone)
k = 2 (divide both sides by 5 to get what just x is)
So k = 2 units
