these just use the normal sequences of operations...
4(ax+3)-3ax=25+3a
4ax+12-3ax = 25+3a
ax+12 = 25+3a
ax-3a = 25-12
a(x-3) = 12
a = 13/(x-3)
S=180(n-2)
S = 180n-360
S+360 = 180n
n = (S+360)/180 = S/180 + 2
1. Solve the equation below for x interms of a
4(ax+3)-3ax=25+3a
2. The formula for the sum of the degree measures of the interior angles of a polygon is S=180(n-2). Solve for n, the number of sides of the polygon, in terms of S.
IM STRUGGLING PLEASE HELP
5 answers
1.
4 ( ax + 3 )-3 ax = 25 + 3a
4 * ax + 4 * 3 - 3 ax = 25 + 3a
4 ax + 12 - 3 ax = 25 + 3a
4 ax - 3 ax + 12 = 25 + 3a
ax + 12 = 25 + 3a Subtract 12 to both sides
ax + 12 - 12 = 25 + 3a - 12
ax = 25 - 12 + 3a
ax = 13 + 3a Subtract 3a to both sides
ax - 3a = 13 + 3a - 3a
ax - 3a = 13
a ( x - 3 ) = 13 Divide both sides by a
x - 3 = 13 / a Add 3 to both sides
x - 3 + 3 = 13 / a + 3
x = 13 / a + 3 = 13 / a + 3a / a
x = ( 13 + 3a ) / a
2.
S = 180 ( n - 2 ) Divide both sides by 180
S / 180 = n - 2 Add 2 to both sides
S / 180 + 2 = n - 2 + 2
S / 180 + 2 = n
n = S / 180 + 2
4 ( ax + 3 )-3 ax = 25 + 3a
4 * ax + 4 * 3 - 3 ax = 25 + 3a
4 ax + 12 - 3 ax = 25 + 3a
4 ax - 3 ax + 12 = 25 + 3a
ax + 12 = 25 + 3a Subtract 12 to both sides
ax + 12 - 12 = 25 + 3a - 12
ax = 25 - 12 + 3a
ax = 13 + 3a Subtract 3a to both sides
ax - 3a = 13 + 3a - 3a
ax - 3a = 13
a ( x - 3 ) = 13 Divide both sides by a
x - 3 = 13 / a Add 3 to both sides
x - 3 + 3 = 13 / a + 3
x = 13 / a + 3 = 13 / a + 3a / a
x = ( 13 + 3a ) / a
2.
S = 180 ( n - 2 ) Divide both sides by 180
S / 180 = n - 2 Add 2 to both sides
S / 180 + 2 = n - 2 + 2
S / 180 + 2 = n
n = S / 180 + 2
Where you got the s from ?
bosianian it said solve in terms of S
I solved it like:
S=180(n-2) Distribute 180
S=180n-360 Add 360
S+360=180n Divide by 180
S+2=n
I’m confused as to what I am doing wrong.
S=180(n-2) Distribute 180
S=180n-360 Add 360
S+360=180n Divide by 180
S+2=n
I’m confused as to what I am doing wrong.