Answer:
<u>Part A:</u><u> x = -24</u>
<u>Part B: </u><u>n = 2</u>
Step-by-step explanation:
<u>Part A:</u>
The algebraic expression for: "StartFraction 2 Over 3 EndFraction left-parenthesis StartFraction one-half EndFraction. x plus 12 right-parenthesis equals left-parenthesis StartFraction one-half EndFraction left-parenthesis StartFraction one-third EndFraction x plus 14 right-parenthesis minus 3" will be ⇒ 
Multiply both sides by 6
∴ 
∴
∴ 2x + 4*12 = x + 3 *14 - 18
∴ 2x - x = 3 * 14 - 18 - 4 * 12 = -24
<u>∴ x = -24</u>
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<u>Part B:</u>
The algebric expression for: "StartFraction one-half EndFraction left-parenthesis n minus 4 right-parenthesis minus 3 equals 3 minus left-parenthesis 2 n plus 3 right-parenthesis" will be ⇒ 
Multiply both sides by 2
(n-4) - 6 = 6 - 2(2n+3)
n - 4 - 6 = 6 - 4n - 6
Combine like terms
n + 4 n = 4 + 6
5n = 10
n = 10/5 = 2
<u>∴ n = 2</u>
Itd be 50% hope this helps
3.141592654... It contains infinite numbers
40 + 40 + 40x2
= 40 + 40 + 80
= 160
<em>m∠LNM = 54°</em>
<u><em>Here is why:</em></u>
In this photo there are two important angles with very important features, a central angle and an inscribed angle.
A central angle is an angle that is in the center of the circle, so angle P is a central angle. The arc that is associated with this angle is going to be the same measure as the central angle. I have labeled this in the photo below as <u>blue</u>.
An inscribed angle is an angle that lies on the circle, so angle N is an inscribed angle. The arc that is associated with this angle will be double the amount of the inscribed angle, or the angle is half of the measure of the arc. I have labeled this in the photo below as <u>red</u>.
Since we know that the central angle is 108°, with what we know about central angles we know that arc LM is going to be 108° as well.
We also know that an inscribed angle is half the amount of the arc so...
108 ÷ 2 = 54
<em><u>m∠LNM = 54°</u></em>
