To get the measurement of AD, you have to add AC and CD together roger your answer of AD=23
The given angle ( 47 degrees) and x are supplementary angles, which equal 180 degrees.
So x would equal 180 degrees minus 47 degrees
This can be written as x = 180-47
x = 133 degrees
Y=3x
y=2x+5
Then solve with substitution:
3x=2x+5
x=5
so we have 3 folks painting 4 walls, now each one of them works for 32 minutes
person 1............. 32 mins
person 2............. 32 mins
person 3............. 32 mins
for a total of 32+32+32 = <u>96 minutes worth of work</u>. That's for 4 walls, how many minutes worth is just 1 wall?
96 ÷ 4 = 24 mins.
so to paint a wall, it takes 24 mins of work worth.
so then, to paint 7 walls, that'd be 7 * 24 = 168 minutes worth of work.
what about for 4 folks doing it? How many times does 4 go into 168? 168 ÷ 4 = 42 mins.
Answer:
a) 18
b) 10
c) x^2 - 4x + 5
d) 4x^2 + 2
Step-by-step explanation:
f(x) = 4x - 2
g(x) = x^2 + 1
a) f(5) = 4(5) - 2 = 20 - 2 = 18.
b) g(-3) = (-3)^2 + 1 = 9 + 1 = 10.
c) g(x - 2)...
g(x - 2) = (x - 2)^2 + 1 = x^2 - 2x - 2x + 4 + 1 = x^2 - 4x + 5.
d) f(g(x)) = f(x^2 + 1) = 4(x^2 + 1) - 2 = 4x^2 + 4 - 2 = 4x^2 + 2.
Hope this helps!