9514 1404 393
Answer:
55°
Step-by-step explanation:
A couple of auxiliary lines can be helpful.
We see that 45° is an exterior angle to the bottom triangle, which has remote interior angles that must total 45°. This means the interior angle at bottom left must be 45° -15° = 30°.
The upper right interior angle is alternate to that, so is the same measure. The exterior angle x to the upper triangle is then the sum of the remote interior angles:
x = 25° +30°
x = 55°
Answer:
Step-by-step explanation:
The sides for the square are equal to 2x-5 because that is the square root of the area. The length of the rectangle is 3x+6 and the width is 3x-6 because that is what you get when you factor the equation.
Now, you have add them up.
To take out the line in the middle of the shape we will subtract because we are assuming that this equation is equal to the shorter side. This makes the equation
If you are looking for a numerical answer, I can't say I know how to get it.
Hope this helps! <3
Answer:
3/4
Step-by-step explanation:
First of all, we need to calculate the slope of the line shown. This can be computed as:
where
is the increment along the y-direction
is the increment along the x-direction
We can choose the following two points to calculate the slope of the line shown:
(-3,2) and (0,-2)
And so, the slope of the line shown is
Two lines are said to be perpendicular if the slope of the first line is the negative reciprocal of the slope of the second line:
Using , we find that a line perpendicular to the line shown should have a slope of