Answer: m∠EFG=83°
m∠GFH =97°
Step-by-step explanation:
Given : ∠EFG and ∠GFH are a linear pair.
m∠EFG=3n+23, and m∠GFH=4n+17.
We know that linear pair of angles added up to 180 degrees.
i.e
Now, m∠EFG=(3n+23)°= (3(20)+23)°=(60+23)°=83°
m∠GFH =(4n+17)°=(4(20)+17)°=(80+17)°=97°
Answer:
Consecutive interior angles
Step-by-step explanation:
This chart may also help
You mean "completing the square," don't you? ;)
<span>(x+7)(x-9)=25 can be expanded: x^2 - 9x + 7x - 63 + 25, which becomes
x^2 -2x = 38.
Let's now complete the square:
x^2 - 2x + (1)^2 - (1)^2 = 38, or x^2 - 2x + 1 = 39
Rewrite that as (x-1)^2 = 39
Take the sqrt of both sides: x-1 = plus or minus sqrt(39)
Write the roots: x = 1+sqrt(39) and x = 1 = sqrt(39) (answers)</span>
Answer:
bag 3
Step-by-step explanation:
Let's call the labels "green", "red", and "mix".
Pick mix for two reasons :
- First, it's not mixed so whatever color you pick is the color of the pair.
- Also, if you pick from either of the other two, you can't know if it's a mixed bag or not.
So, let's pretend you pick a red out. Move the label red to the bag. This must be true - cannot be a mix.
Now, you have the mix label <u>in your hand</u>, <u>one bag with a label</u> (green), and <u>one bag without a label</u> (previously red).
Since all bags mislabeled to begin, move the green label to the <u>blank bag</u> - since this label must be wrong.
Put the mix label on the <u>remaining bag</u>.