Answer: 90 degrees
Step-by-step explanation:
Same-side interior angles thm states that the 90 deg angle and angle 3 are supplementary.
Answer:
Step-by-step explanation:
P= 2(L) + 2(w)
1504= 2(525) + 2(w)
1540= 1050 + 2(w)
1540 - 1050= 2(w)
490 = 2(w)
490/2 = w
245 = w
w is y
L is 525
Answer:
Step-by-step explanation:
The directrices of an ellipse are defined by
Where 
, and 
is the eccentricity defined by 
So, in the first choice, we have the equation
Where 
and 
, which means 
and 
.
In an ellipse, we have the relation
Replacing values, we have
So, the eccentricity is 
and the directrices are 
, which means the first choice is not the right answer. In other words, the right answer is the second choice, because third and fourth choices don't represent an ellipse, both fractions must be positive in that case.
Therefore, the right answer is
Answer:
180 coins
Explanation:
N = number of nickels (no nickels spent)
D = number of dimes initially saved
D' = number of dimes left after spending
1) N = D + 43
2) D' = D - 17
3) N = 2*D' = 2*(D - 17)
Set equations 1) and 3) equal to each other and solve for D:
D + 43 = 2*(D - 17)
D + 43 = 2*D - 34
D = 43 + 34 = 77
N = D + 43 = 77 + 43 = 120 nickels left
D' = D - 17 = 77 - 17 = 60 dimes left
Total coins left = 120 + 60 = 180 coins (I hope this is not too confusing for you)
