Answer:
Step-by-step explanation:
1. When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative.
2. The rule for a rotation by 180° about the origin is (x,y)→(−x,−y) .
3. Rotation of a point through 180°, about the origin when a point M (h, k) is rotated about the origin O through 180° in anticlockwise or clockwise direction, it takes the new position M' (-h, -k). ...
ANSWER: ∠T = 32.4°
Remember the formula for the basic trig functions: SOH CAH TOA
Since you want to find cosine for <T, you need the adjacent side length as well as the hypotenuse's length which can be found using the Pythagoras's Theorem 
with <em>a </em> and <em>b</em> being the side lengths and <em>c</em> being the hypotenuse.
Using the theorem, we get c=37
Now use the cosine formula to get <T = 12/37 to get the final answer.
4 units wide would be the answer bc the deminsions of the legs wouldn't change for a rectangle or a triangle
(-2+3)/(6+4)= 1/10
y+3=1/10(x + 4)
y + 3 = (1/10)x + 4/10
y + 30/10 = ( 1/10)x + 4/10
y = (1/10)x + 4/10 - 30/10
y = (1/10)x - 26/10
y = (1/10)x - 13/5
10(y = (1/10)x - 13/5)
10y = x - 26
-x + 10y = -26
Divide total amount spent by total gallons bought:
47.82 / 16.9 = $2.83 per gallon
