Answer:
Following are the responses to the given points:
Step-by-step explanation:
Dilation implies the triangle
stretched through the factor "2".
right triangles:

complementary angles:


complementary angles:


Same triangles: proportional side are corresponding, congruence angles are respective.
Calculating the length of leg XY:

Answer:
g(f(0)) = 2
Step-by-step explanation:
To find g(f(0)), you must first find f(0).
f(x) = 3x + 1
f(0) = 3(0) + 1 = 0 + 1 = 1
Now you input 1 into function g(x).
g(x) = (4x + 2)/3
g(1) = [4(1) + 2]/3
g(1) = [4 + 2]/3
g(1) = 6/3
g(1) = 2
g(f(0)) = 2
The bottle rotates 180 degrees in 2 seconds.
I divided 270 by 3, which was 90. Then, I multiplied 90 by 2. Which was 180.<span />
Answer:
5X + 8Y >= 300; intersection at (-20, 50)
Step-by-step explanation:
let t = work hours
0 < t < 30
X = time lawn mowing
Y = time babysitting.
X + Y < 30
5X + 8Y >= 300
We could solve...
X < 30 - Y
5(30 - Y) + 8Y >=300
150 - 5Y + 8Y >= 300
3Y >=150
Y >=50
then X < -20
intersection at (-20, 50)