Recall the secant-tangent theorem, and you have
EA^2 = EC*CD
12^2 = 8*(x+10)
and now ED = EC+CD = 8+x+10
I suspect a typo somewhere in the murk above
Answer:
c = price of child ticket = $4.25
a = price of adult ticket = $4.25 + $1.00 = $5.25
Step-by-step explanation:
A child ticket costs c and an adult ticket costs a = c + 1.
21 children pay c dollars each for admission, and
3 teachers pay c + 1 dollars each for admission.
Thus,
21c + 3(c + 1) = $105, and
21c + 3c + 3 = $105, so that:
24c = $102
c = price of child ticket = $4.25
a = price of adult ticket = $4.25 + $1.00 = $5.25
I believe Plot 1 is the girl's.The girls is an outlier
Hope this helps.
Answer: it will take 9 days
Step-by-step explanation:
The water level was initially at 34feet it was receding at the rate of a foot per day. The rate at which it was receding is linear, thus, it is in an arithmetic progression. The formula for the nth term of an arithmetic progression is expressed as
Tn = a+(n-1)d
Where
a is the first term if the sequence
d is the common difference
n is the number of terms.
From the information given,
a = 34 feet because it is the initial height
n is the number of days it will take to get to 26 ft
d = -1 because it is decreasing by 1 foot per day.
Tn = T26 = 26 feet. Therefore, the equation will be
Tn = 34 -1(n-1)
To find for T26,
26= 34 + (n - 1)-1
26 - 34 = -n + 1
n - 1 = 8
n = 8 + 1 = 9
