<span><u>Answer
</u>
31.12 in
<u>Explanation
</u>
To get the length required, lets first find angle mF,
mF = 180 – (43 + 62) =75o
Now we can use the sin rule to find length DE.
a/sinA =b/sinB Where a and b are the length opposite to angle A and B respectively.
DE/sin75=22/sin43
DE=(22 sin75)/sin43
DE=31.12 in
</span>
Answer:
x = 8
Step-by-step explanation:
For this question, you can use power of a point, more specifically when two secants intersect in the interior of a circle. From this, you get the equation:
(7 + x)(12) = (10)(2x + 2)
You can simplify and solve:
84 + 12x = 20x + 20
84 = 8x + 20
64 = 8x
x = 8
The perimeter of the sandbox is 60 ft.
5x5=25
Two sides = 25, so 25+25 = 50.
Two other sides = 5, so 5+5=10
50+10 = 60, and that is the correct answer.
If you would like any more assistance with this type of questions, let me know and I will be able to further assist you. Thank you!
Here is my process for solving this.
First I drew arrows that indicated I was moving the whole triangle 5 units to the left.
*Look at first attachment*
Then I drew another triangle using those new points. (The new triangle is in pink)
*Look at second attachment*
Then I drew arrows that moved this new triangle 4 units up. (The new arrows are in pink)
*Look at third attachment*
Then I drew the new triangle in blue using the new points.
*Look at fourth attachment*
Then I mirrored / reflected the triangle over the x axis (the horizontal line) In green.
*Look at fifth attachment*
The fifth attachment in green is the final product! Hope that helps.
Point slope form is y-(-4) = 1/2(x-(-2)
y+4 =1/2 (x+2)
now the standard form 2y+8=x+2
so -x+2y=-6 is the equation for line p in standard form