Answer:
x=20 degrees
Step-by-step explanation:
complementary means the angles equal 90 degrees
so ∠A+∠B=90 degrees
∠A=3x-2 and ∠B=x+12
so subsitute
(3x-2)+(x+12)=90
then solve for x
4x+10=90
4x=80
x=20 degrees is your answer
Answer:
x = (2+√10)/ 3 and x= (2-√10/3)
Step-by-step explanation:
g(x) = -3x² +4x +2
use the quadratic formula x= (-b±√b²-4ac)/2a, when g(x) = ax² +bx +c
x= [-4 ±√4²-4*(-3)*2] / 2*(-3) , solve under the square root
x= (-4 ± √16 +24) / -6 , add under the radical
x= (-4 ±√40) / -6, simplify the square root
x= (-4 ±2√10) /-6, factor -2
x= -2 (2±√10)/-2 *3, simplify -2
x= (2±√10)/3
Therefore,
x = (2+√10)/ 3 and x= (2-√10/3)
For this case, what we are going to do first is to assume that all the exams are worth the same percentage of the final grade.
We have then that Lisa's average grade point equation is:

Where,
x: minimum note that lisa must obtain in the last exam.
Clearing x we have:
Answer:
the lowest grade she can get on her last test is:
x = 94
Answer:
5x² - 13x - 6
Step-by-step explanation:
Each term in the second factor is multiplied by each term in the first factor, that is
5x(x - 3) + 2(x - 3) ← distribute both parenthesis
= 5x² - 15x + 2x - 6 ← collect like terms
= 5x² - 13x - 6
Answer:
900 cubic feet
Step-by-step explanation:
Volume = length x width x height
= 10 x 20 x 4.5
= 900