Answer:
V = J = 92
Step-by-step explanation:
The angles are the same on both shapes.
1. Write as an algebraic equation:
12 + n ≤ 2n - 8
2. Solve for n.
12 + n - 12 ≤ 2n - 8 - 12
n ≤ 2n - 20
n - 2n ≤ 2n - 20 - 2n
-n ≤ -20
Multiply both sides by -1 (this means you must flip the inequality sign).
n ≥ 20
FINAL ANSWER: n ≥ 20
Hope this helps! Feel free to ask for clarification.
Answer:
Angle 11 is the alternate exterior of angle 5 meaning there is only 1 angle that is alternate of angle 5.
Step-by-step explanation:
An exterior angle is an angle outside of the shape (hence ex meaning out). However, an ALTERNATE angle is an angle opposite of a transversal line of another angle. The angles on the same transversal line of 5 are 8, 7, 9, 10, 12, and 11. However, we are looking for ALTERNATE EXTERIOR angles not just exterior. 8, 7, 9, 10, and 12 are just exterior which leaves angle 11 as alternate exterior. Angle 11 is the alternate exterior of angle 5 meaning there is only 1 angle that is alternate of angle 5.
First you open 2 parenthesis with x in each one:
(x )(x )=0
Then, you place the sign of the second term (the x term) in the first parenthesis.
(x+ )(x )=0
Next, you multiply the signs of the x term and the sign of the constant (the third term).
Since + × - = -, then you place a -.
(x+ )(x- )=0
You look at the constant (-18) and the second term (3). What two numbers multiplied give you -18 but subtracted (since the signs inside the parenthesis are opposite) give you 3? Those numbers are 6 and 3.
Since the result of the substraction need to be 3, you place the 6 with the + sign and the 3 with the negative sign (if you think of it, 6-3=3 but 3-6 = -3. That's the reason behind placing the numbers)
(x+6)(x-3)=0
Therefore,
x+6=0 or x-3=0
x=-6 or x=3
Your roots are -6 and 3.
