Answer:
x = 182.53
Step-by-step explanation:
Use trigonometric ratios to find the whole side length (a) adjacent to 20° and the side length (b) adjacent to 57° respectively. Then find the difference. That would give you the value of x. That is: a - b = x
Let's solve.
✍️Finding the whole side length adjacent to 20°:
Opp = 87
Adjacent length = ? = a
Thus,
Plug in the values
Multiply both sides by a
Divide both sides by tan(20)
Finding the side length adjacent to 57°:
Opp = 87
Adjacent length = ? = b
Thus,
Plug in the values
Multiply both sides by b
Divide both sides by tan(57)
Therefore:
x = a - b
x = 239.03 - 56.50
x = 182.53
Answer:
Step-by-step explanation:
First, in order to get rid of the parenthesis, you need to multiply 2.5 with whatever is in the parenthesis.
Multiply 2.5 on each side of the equation like this:
(12.75 x 2.5) (24.50 x 2.5) =188.75
Once you're finished, you should get 61.25 and 31.875x =188.75
Now in order to find 'x' you will need to subtract 61.25 to each side of the equation like this:
61.25 - 61.25 = 0
188.75 - 61.25 = 127.5
So now your equation should look like this:
31.875x = 127.5
You have to divide 31.875 by each side now.
Once you divide them, your final answer should be 4.
so x = 4.
I really hope this helps! ^^
9514 1404 393
Answer:
y +2 = -1/2(x -7)
Step-by-step explanation:
The line PQ has a rise of 6 units for a run of 3 units, so its slope is ...
m = rise/run = 6/3 = 2
A line perpendicular to PQ will have a slope that is the opposite reciprocal of that, so ...
-1/m = -1/2
We have the slope of the desired line, and a point it needs to pass through, so we can use the point-slope form of the equation of a line.
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
An equation for the desired line is ...
y +2 = -1/2(x -7)
__
This can be rearranged to other forms.
y = -1/2x +3/2 . . . . . slope-intercept form
x +2y = 3 . . . . . . . . . standard form
Answer:
x = 150
Step-by-step explanation:
What we need to do is first use the sum of interior angles theorem to find the total sum of this odd hexagon.
n = sides of the shape.
(n-2)*180° = Sum of interior angles
For us this would be 720° total. Now make an equation
121 + 96 + 101 +162 + 90 + x = 720
Then we simplify
570 + x = 720
-570 -570
And then subtract 570 on both sides and we get our answer.
x = 150
