C. Alternate interior angles are formed by a transverse line intersecting two parallel lines . They are located between the two parallel lines but on opposite sides of the transverse line
X6 – 9x3 + 8 = 0
let u = x^3
u^2 - 9u + 8 = 0
(u-8)(u-1) = 0
u = 1,8
back substitute
1 = x^3
8 = x^3
<span>x = 1 , 2</span>
Solutions
Factor <span>3x</span>²<span><span>−2x−8</span><span>
</span></span>1. Multiply 3 by -8, which is -24.
2. Ask: Which two numbers add up to -2 and multiply to -24?
3. Answer: 4 and -6
4. Rewrite <span>−2x </span>as the sum of <span>4x </span>and <span>−6x</span>:

<span>
</span><span>Factor out common terms in the first two terms, then in the last two terms
</span>
Factor out the common term <span>3x+4
</span>
Solve for <span>x
</span>1. Ask: When will <span>(3x+4)(x−2) </span>equal zero?
2. Answer: When <span>3x+4=0 </span>or <span>x−2=0.</span>
3. Solve each of the 2 equations above:
x = −<span>4 / 3</span>,<span>2</span>
He pays in interest of $111.0375. Interest is calculated in the two ways, by compounding or by simple interest.
<h3>How to calculate simple interest amount?</h3>
If the initial amount (also called as principal amount) is P, and the interest rate is R % annually, and it is left for T years for that simple interest, then the interest amount earned is given by:

The given data in the problem is;
The principal is,P=$2700
The rate of interest = 3.5%
The total time interval is,T
The total time interval is;

The simple interest is found as;

Hence, he pays in interest of $111.0375.
To learn more about simple interest, refer to the link;
brainly.com/question/5319581
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Answer:
5/162
Step-by-step explanation:
There's a 5/9 chance that you spin an odd and a 1/2 chance you get heads and a 1/9 chance you get a 3 on the spinner multiply the fractions together and get 5/162.