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The value of x based on the tangent-secant theorem is: <u> 19.</u>
<em><u>Recall</u></em>:
- The secant-tangent theorem states that when a tangent and a secant meet outside a circle, the product of the secant length and it's segment outside the circle is equal to the square of the tangent segment length.
- Applying the tangent-secant theorem or rule, we will have this equation:
AB =
EB = 4
- Substitute:
- Add 12 to both sides
- Divide both sides by 4
x = 19
Therefore the <u>value of x is 19.</u>
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32 doughnuts can be bought with $16.
Step-by-step explanation:
One dozen doughnuts = $6.00
One dozen = 12
$6.00 = 12 doughnuts
$1.00 =
Therefore, 2 doughnuts can be bought for $1.
For $16 dollars;
No. of doughnuts = Amount * Doughnuts per dollar
32 doughnuts can be bought with $16.
Keywords: division, multiplication
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The value of x in the equation is x=-44.
The given equation is .
An algebraic expression in mathematics is an expression that's made from variables and constants, together with algebraic operations (addition, subtraction, etc.). Expressions are made of terms.
Firstly, apply the distributive property as a(b+c)=ab+ac and get
Now, rearrange the terms by taking variable terms on the left-hand side and constant terms on the right-hand side as
Further, simplify the above expression by taking L.C.M as
Then, multiply both sides with 4 and get
Furthermore, cross multiply both sides and get
Hence, the value of x in the equation which is given is x=-44.
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