In this case we use intersecting secant theorem
According to this theorem, GF*GE = GH*GA
So,we plug in the values
(x-3)*(x-3+9) =(x-2)*(x-2+6)
(x-3)*(x+6) =(x-2)*(x+4)
x^2 +6x -3x -18 =x^2 +4x -2x -8
x^2 +3x -18 =x^2 +2x -8
x^2 +3x -18 -x^2 -2x +8 =0
x -10 =0
x=10
So,FG =x-3 = 10-3 =7
"If and only if" (abbreviated "iff") is a biconditional logical connective between two assertions that is either true or untrue. The correct option is D.
<h3>What is "if and only if" operator?</h3>
In logic and related subjects such as mathematics and philosophy, "if and only if" (abbreviated "iff") is a biconditional logical connective between two assertions that is either true or untrue. It is represented by ⇔ or ↔.
The two of the events are
- p: the whole number has one digit.
- q: the whole number is less than 10.
Now, the representation of "the whole number has one digit if and only if the whole number is less than 10" is done as p ↔ q.
Hence, the correct option is D.
Learn more about "if and only if" operator:
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Hi!
I think that you misspelled the question, and you mean that Oliver bought "ten", not "yen" stamps- yen is the currency of Japan.
So we have 10 stamps of 77 cents each:
10*77=770 cents
He has to pay 770 cents, or since 100 cents are one dollar, 7 dollars and 70 cents.