Selection C is appropriate for a fence that extends x feet away from the house and utilizes the full 30 ft width of the house.
Answer:
133.5
Step-by-step explanation:
Area of paralleogram is base x height. The base is 15 as given. We need to find the height.
Using triangle MNJ we can find it.
We need to find side MN but we are given an angle adjacent to that side 90. We also given another angle and a side adjacent to that angle 52 and 7 respectively.
We can use law of sines to find MN

sin of 90 =1 so multiply 1 by both sides

simplify that and we get mn=8.9.
So know we can multiply 8.9 by 1t to find the area.
15×8.9=
133.5
Answer: -x + y = 8
Step-by-step explanation:
So first you are going to want to find the slope of the equation. The equation for that it (y2 - y1)/(x2 - x1) = (10 - 7)/(2 - -1) and that equals 1. So your slope will be 1.
Now you have half of your equation complete, currently it looks like, y = x + b. So we have to find the y intercept. You can do that by plugging in a pair of coordinates into the current equation and solve for b.
Lets plug in (2,10)
10 = 2 + b
10 - 2 = b
b = 8
So now you have your equation in slope intercept form, y = x + 8. Just move the x over to the left side and there is your answer.
-x + y = 8
I’m pretty sure it’s the last one. :)
Answer:
13 square units
Step-by-step explanation:
You <em>could</em> calculate the length of each side using Pythagorean theorem, then use Heron's formula to find the area. But there's an easier way: find the area of the rectangle that contains the triangle, and subtract the areas of the smaller triangles in the corners.
The area of the rectangle is 4 × 7 = 28.
The area of the upper left triangle is ½(2)(4) = 4.
The area of the upper right triangle is ½(3)(5) = 7.5.
The area of the lower right triangle is ½(1)(7) = 3.5.
So the area of the triangle is:
28 − 4 − 7.5 − 3.5 = 13