Answer:
x = 9√3
Step-by-step explanation:
x^2 = 18^2 - 9^2
x^2 = 324 - 81
x^2 = 243
x = 9√3
Answer:

I made the assumption those were right triangles.
Step-by-step explanation:
I like your 30 there.
I found the length in orange by doing 55-30=25.
Now we can try to find the length in light purple by doing orange length plus the length you found which is 25+30=55.
So we can use a trig function to find
.
I made another picture to focus our problem more.
Now if you look at the triangle we have here and refer to trig right triangle definitions, we can setup an equation form this.
The opposite side of the angle, whose measurement is
degrees, is
.
The adjacent side of the angle, whose measurement is
degrees, is
.
So I will use the tangent ratio.


Multiply both sides by 55:

Now it is handy dandy calculator punching in time:


Answer:
x=5
Step-by-step explanation:
We know that a pentagon is in total 540 degrees. From this, we add all other numbers and set them equal to 540 to solve for x.
So, after adding all the angles and setting them equal to 540, we get this.
21x+435=540
21x=105
x= 5
If you want, plug 5 into x and see if it adds up to 540 to check
21(5)+435=540
15 I think I hope this helps and if im wrong I'm soooooo sorry
Answer:
The standard form of the equation for this line can be:
l: 2x + 5y = -15.
Step-by-step explanation:
Start by finding the slope of this line.
For a line that goes through the two points
and
,
.
For this line,
.
Find the slope-point form of this line's equation using
, and- The point
(using the point
should also work.)
The slope-point form of the equation of a line
- with slope
and - point
should be
.
For this line,
The equation in slope-point form will be
.
The standard form of the equation of a line in a cartesian plane is
where
,
, and
are integers.
.
Multiply both sides of the slope-point form equation of this line by
:
.
Add
to both sides of the equation:
.
Therefore, the equation of this line in standard form is
.