Yesterday, Jake laid down 2/3 yards of duct tape on his tile floor. His friends wanted the line to be longer. Jake laid down 2/3 yards more duct tape. How long is the line of duct tape now?
Answer:
Step-by-step explanation:
In parallelogram adjacent angles are supplementary
∠U +∠V = 180
9x + 15 + 6x + 15 = 180
Combine like terms
9x + 6x + 15 + 15 = 180
15x + 30 = 180
Subtract 30 from both sides
15x = 180 - 30
15x = 150
Divide both sides by 15
x = 150/15
x = 10
∠U = 9x + 15
= 9*10 + 15
= 90 + 15
∠U = 105
∠V = 6x + 15
= 6*10 + 15
= 60 + 15
∠V = 75
Answer:
5 word problems(4points each) & 10 open (3 points each)
Step-by-step explanation:
O= open response
W= word problems
W+O =15
4W + 3O = 50
multiply the first by -3 to eliminate O
-3W -3O = -45
4W + 3O = 50
AD BOTH
W = 5 ( 5 questions word problems)
O= 10 ( 10 questions open response)
5x4 = 20
10x3 = 30
20 + 30 = 50 points
Hello from MrBillDoesMath!
Answer:
(x^4-2) (x^4 -1)
Discussion:
Let u = x^4, then
x^8 - 3x^4 + 2
= u^2 - 3u + 2
= (u -2) ( u -1)
= (x^4-2) (x^4 -1)
Thank you,
MrB
