Answer:
A
Step-by-step explanation:
They are basically wanting the value of x.
These are 2 secant lines drawn. Secant Line is a line that intersects the circle at 2 points.
To solve this, we have to use secant-secant theorem.
Secant-Secant Power Theorem tells us that if 2 secant lines are drawn from external point (here, E) to a circle, then, product of measure of one secant's external part and total secant is equal to other secants external part and whole secant.
In algebra, that is:
Let's multiply and find the value of x:
Hence, the correct answer choice is A
Answer:
y = 6 or 8
Step-by-step explanation:
1. Subtract the constant:
y^2 -14y = -48
2. Add the square of half the y-coefficient:
y^2 -14y +49 = -48 +49
Write as a square, if you like:
(y -7)^2 = 1
3. Take the square root:
y -7 = ±√1 = ±1
4. Add the opposite of the constant on the left:
y = 7 ±1 = 6 or 8
The solution is y = 6 or y = 8.
Answer:
"23,520"
Step-by-step explanation:
one trip: 14 passengers
one day: 3 trips
passengers: 80
80x14= 1,120
1,120x3= 3,360
3,360x7= 23,520
Answer: $106,300
<u>Step-by-step explanation:</u>
A = P(1 + r)
- A is the accrued amount (balance)
- P is the principal (initial amount)
- r is the rate --> convert to a decimal
Given: P = 96,812 r = 9.8% --> 0.098
A = 96,812(1 + 0.098)
= 96,812(1.098)
= 106,299.576
rounded to the nearest dollar is $106,300
Answer:
55.5
Step-by-step explanation:
find the median - in this case it's 60
then group the upper and lower halves of the data:
(11, 19, 35, 42) 60 (72, 80, 85, 88)
now we find the medians of those sets:
35 + 19/2 = 54/2 =27
80 + 85/2 = 165/2 = 82.5
then subtract those two medians to find the interquartile:
82.5 - 27 = 55.5
