I think the answer would be C because variability means average.
The measure off DF is 11.
In a circle inscribed within a triangle, the distance from each vertex of the triangle to the two nearest touchpoints (points of tangency on the circle) are equal. Since SD=4, DT=4 as well. Since UF=7, then FT=7.
DF=DT+TF=4+7=11.
The answer is (x+1)-(2x-4)=6
Answer:
Option A. 8x² - 25x + 7.
Step-by-step explanation:
The given polynomials are
A = 3x -4
B = x + 7
C = x² + 2
Now we have to find the simplest form of A² - (B + C)
A² = (3x - 4)² = 9x² + 16 -24 x
B + C = x + 7 + x² + 2 = x² + x + 9
Now A² - (B + C) = 9x² + 16 -24x -(x² + x + 9)
= 9x² -24x + 16 - x²- x - 9
= 8x² -25x + 7
Therefore Option A. 8x² - 25x + 7 is the answer.
Answer:
8
Step-by-step explanation:
Key to this question is assume that each exchange preserves the total dollar amount of Nick’s money.
If He exchanges all his $5 bills for $1 bills, it means that a $5 bill will result in 5 $1 bills as such, if he had x number of $5 bill, after the exchange, he would have 5x $1 bills.
then all his $20 bills for $5 bills, it means that for each $20 bill, he gets 4 $5 bills which means that if he had y number of $5 bills, after the exchange, he would have 4y $5 bills.
and finally all his $100 bills for $20 bills, then he must have received 5 $20 bills for each $100 such that if he had z number of $100 bills before the exchange, he would have 5z number of $20 bills after the exchange. Given that originally he had 17 bills and later 77 bills then
x + y + z = 17
5x + 4y + 5z = 77
Multiplying the first equation by 5,
5x + 5y + 5z = 85
5x + 4y + 5z = 77
subtract 2 from 1
y = 8
