Answer:
=24x+3y
Step-by-step explanation:
6(5x+2y)−3(2x+3y)
Distribute:
=(6)(5x)+(6)(2y)+(−3)(2x)+(−3)(3y)
=30x+12y+−6x+−9y
Combine Like Terms:
=30x+12y+−6x+−9y
=(30x+−6x)+(12y+−9y)
=24x+3y
Supplementary angles by definition means the sum is 180.
From that knowledge we can write up some equations.
Let angle 1 = x, and angle 2 = y
x + y = 180
"The larger of two supplementary angles measures 20° less than four times the measure of the smaller angle"
(Let x be the larger angle)
x+20 = 4y
Since there are two different equations, and two variables, this means we have a set of simultaneous equations.
We can solve this via the substitution method or the elimination method.
I choose to solve it via the substitution method cause of personal preference.
x + y = 180 => x = 180- y
x+20 = 4y => x = 4y - 20
Make them equal each other..
180 - y = 4y - 20
200 = 5y
40 = y
Now that we know y we can sub it into any equation to find x
x + 20 = 4y
x + 20 = 4(40)
x + 20 = 160
x = 140
So the angles are 40° and 140°
Answer:
20 ft
Step-by-step explanation:
30 ft/ 12 inches= 2.5ft/in x 8 in= 20 ft
I hope this helps and good luck!
Answer:
b. 8.7
Step-by-step explanation:
