Answer:
1/4
Step-by-step explanation:
1/2 x 1/2 = 1/4
Answer:
Vertical angles are congruent and have equal measures. Therefore,
Simplify and solve for x :
x + 16 = 4x -5.
16=3x-5
21=3x
x=7
Thus the angles measure is x+16 = 7+16 = 23 degrees, for both angles (for each of the two vertical angles).
Step-by-step explanation:
each angle measure is 23 degrees
Answer:
No they're not equivalent
Step-by-step explanation:
5(x - 9) + 2x -1 -5(9 - x) - 2x
5x - 45 + 2x - 1 5x - 45 - 2x
7x + 46 does not equal 3x - 45
Explaining isnt my specialty, sorry
Answer:
100
Step-by-step explanation:
Original price: x
x + (7%*x) = 107.
107 is 107% of the original price
107 = 1.07x
Divide by 1.07 on both sides
x = 100
Check:
7% of 100 is 7
100 + 7 = 107
Hope this helps :)
Answer:
A. "an arithmetic sequence with a common difference (d) of -6."
B. 33 hours
C. 
D. See below
Step-by-step explanation:
A.
Since the sequence lessens by 6, this is an arithmetic sequence with a common difference (d) of -6.
B.
The formula for term of arithmetic sequence is:

Wher a_1 is the first term and d is the common difference. Since we want to find after 33 weeks, we plug in 33 into n:

She will have left 33 hours
C.
We will use the arithmetic sequence term formula written above, that is:

THis gives us the amount of hours left after a certain number of weeks.
D.
We plug in 40 into n and find the hours left:

THis term is NEGATIVE, which means that Greta will not have to work 40 weeks to fulfill the target of 225 hours. She needs to work less.