Answer: 
<u>Step-by-Step Explanation:</u>
Pythagorean Theorem is: a² + b² = c² , <em>where "c" is the hypotenuse</em>

Note: (15)² + (3√11)² = hypotenuse² → hypotenuse = 18

Note: 8² + 15² = hypotenuse² → hypotenuse = 17

Note: hypotenuse not needed for tan

Note: 2² + 6² = hypotenuse² → hypotenuse = 2√10
Answer:
40, 41, 42
Step-by-step explanation:
x +x+1+x+2=123
3x+3=123
3x=123-3
3x=120
x=120:3
x=40(the first number
40+1=41 (the second number
40+2=42 (the third number
we know that
Two angles are supplementary if their sum is equal to
degrees
in this problem we have


so
therefore
<u>the answer is</u>
The two angles are supplementary
Answer:
Choice C
Step-by-step explanation:
f: initial value of 200 decreasing at a rate of 4%
g: initial value of 40 increasing at a rate of 8%
f is decreasing so it must go down starting at 200
That eliminates a and d
g is increasing and starts at 40 That eliminates a
We must look at b and c
g is increasing faster than f is decreasing
Choice C
Answer: y=4 x=27
Step-by-step explanation: 2y+3=11
-3 -3
2y=8
/2 /2
y=4
2/3x=18
(3) (3)
2x=54
/2 /2
X=27