Answer:
m<FAB = 75°
m<BAC = 105°
Step-by-step explanation:
First, find the value of x.
(13x - 3)° = (3x + 2)° + 55° (exterior angle theorem of a ∆)
Solve for x
13x - 3 = 3x + 2 + 55
13x - 3 = 3x + 57
Collect like terms
13x - 3x = 57 + 3
10x = 60
Divide both sides by 10
x = 6
✔️m<FAB = 13x - 3
Plug in the value of x
m<FAB = 13(6) - 3 = 78 - 3
m<FAB = 75°
✔️m<BAC = 180 - m<FAB (angles on a straight line/supplementary angles)
m<BAC = 180 - 75 (substitution)
m<BAC = 105°
The "x-intercept" occurs when y=0, because it is at this point that the equation touches the x axis. So if you plug in y=0 into the equation you can solve for the x coordinate.
4x-2(0)-8=0
4x-8=0
4x=8
x=2
So the x-intercept is the point (2,0)
<span>Simplifying
4x + 20 = 6x + -10
Reorder the terms:
20 + 4x = 6x + -10
Reorder the terms:
20 + 4x = -10 + 6x
Solving
20 + 4x = -10 + 6x
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
20 + 4x + -6x = -10 + 6x + -6x
Combine like terms: 4x + -6x = -2x
20 + -2x = -10 + 6x + -6x
Combine like terms: 6x + -6x = 0
20 + -2x = -10 + 0
20 + -2x = -10
Add '-20' to each side of the equation.
20 + -20 + -2x = -10 + -20
Combine like terms: 20 + -20 = 0
0 + -2x = -10 + -20
-2x = -10 + -20
Combine like terms: -10 + -20 = -30
-2x = -30
Divide each side by '-2'.
x = 15
Simplifying
x = 15</span>
Answer:
36⁄125 or if we are talking about the lowest term it is 9
/3125
Step-by-step explanation:
Step 1: 0.288 = 288⁄1000
Step 2: Simplify 288⁄1000 = 36⁄125 Percent" or "%" means "out of 100" or "per 100",
<em>Or for the lowest term:</em>
Therefore 0.288% can be written as
0.288
100
.
Next, we can multiply by
1
in the form of
1000
1000
to eliminate the decimal in the numerator:
1000
1000
×
0.288
100
⇒
1000
×
0.288
1000
×
100
⇒
288
100000
.
We can now reduce the fraction as:
288
100000
⇒
32
×
9
32
×
3125
⇒
32
×
9
32
×
3125
⇒
9
3125
.
8 would be the length of each piece of wire I think.
