Which values of x would make a polynomial equal to zero if the factors of the polynomial were (x-2) and (x-11) ?
1 answer:
You might be interested in
Answer:
∠EFH = 21°
∠HFG = 62°
∠EFG = 83°
Step-by-step explanation:
The diagram showing the angles has been attached to this response.
From the diagram, it can be deduced that;
Angle EFG = angle EFH + angle HFG
=> ∠EFG = ∠EFH + ∠HFG -------------------(i)
From the question:
∠EFH = (5x + 1)° -------------(ii)
∠HFG = 62° -------------(iii)
∠EFG = (18x + 11)° -------------(iv)
<em>Substitute these values into equation (i) as follows;</em>
(18x + 11) = (5x + 1) + 62
=> 18x + 11 = 5x + 1 + 62
<em>Collect like terms and solve for x</em>
18x - 5x = 1 + 62 - 11
13x = 52
x = 4
Now, to get each measurement, substitute x = 4 into each of equations (ii) - (iv)
∠EFH = (5x + 1)°
∠EFH = (5(4) + 1)°
∠EFH = (20 + 1)°
∠EFH = 21°
∠HFG = 62° [<em>Does not depend on x</em>]
∠EFG = (18x + 11)°
∠EFG = (18(4) + 11)°
∠EFG = (72 + 11)°
∠EFG = 83°
<u>Conclusion:</u>
∠EFH = 21°
∠HFG = 62°
∠EFG = 83°
Answer:
Josh sold 16 books and Jessica sold 240 books
Step-by-step explanation:
Given: Jessica sold 15 times more books than Josh.
Together they sold 256 books
To Find : How many did each one of them sell?
Solution:
Let Jessica sold x books
Let Josh sold y books.
Since we are given that Jessica sold 15 times more books than Josh.
⇒x=15y --a
We are also given that Together they sold 256 books.
⇒x+y=256 --b
Using substitution method
Put value of x from equation a in equation b
⇒15y+y=256
⇒16y=256
⇒
⇒
Thus Josh sold 16 books
Jessica sold books = 15y = 15*16=240
Hence Josh sold 16 books and Jessica sold 240 books