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:
see below
Step-by-step explanation:
Eric will drive between 70 -4 = 66 mph and 70+4 = 74 mph. He will <em>not</em> drive less than 66 or more than 74 mph.
Assume the first even integer is x.
The next even integer will be 2 digits after this digit. So the next even integer will be x+2.
The reciprocals of these two even integers can be written as

and

respectively.
The sum of their reciprocals is 7/24. So we can set up the equation as:

Taking LCM on left hand side:

Cross Multiplying the denominators:

Using the quadratic formula to solve the above equation:

Since, the value of x can only be an integer, we discard the fractional value and keep x=6
So the first even integer is 6 and the next even integer is 8. The sum of reciprocals of 6 and 8 is 7/24
<span>The geometric average return is the the nth root of the product of the stock returns.
So we have nâš r1 * r2 * r3. Where n is the number of returns.
So we have 4âš(14.5 * 4.8 * 10.2 * 6 1)
This gives us 4âš ( 4330.512)
The fourth root of 4330.512 is 8.1121 percent.</span>
Answer:
18 : 39
Step-by-step explanation:
36 to 78
Divide both sides by 2.
=> 18 : 39