9514 1404 393
Answer:
32
Step-by-step explanation:
Angle E is congruent to angle C, so is the value required to make the sum of angles in triangle ABC be 180°.
∠E = 180° -118° -30° = 32°
The value of x is 32.
Hey There! :)
Solve for g.
![g/20=12/48 ](https://tex.z-dn.net/?f=g%2F20%3D12%2F48%0A)
Isolate the variable; Multiply both sides by 20.
![(g/20)*20=(12/48)*20](https://tex.z-dn.net/?f=%28g%2F20%29%2A20%3D%2812%2F48%29%2A20%20)
![g=240/48](https://tex.z-dn.net/?f=g%3D240%2F48%20)
![g=5](https://tex.z-dn.net/?f=g%3D5)
Hope this helps.
-Benjamin
Step-by-step explanation:
I guess method 1 means to deal with whole factors.
x + 5 = (x - 2)(x + 5)
for (x + 5) <> 0 we can divide both sides by this factor :
1 = x - 2
x = 3
for the second solution we deal with
x + 5 = 0
x = -5
so, for x = -5 and x = 3 both functions deliver the same output, and these are the intersection points.
method 2 : we multiply the expression out and solve it then
x + 5 = (x - 2)(x + 5)
x + 5 = x² + 5x - 2x - 10 = x² + 3x - 10
0 = x² + 2x - 15
the general solution to such a square equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = 2
c = -15
x = (-2 ± sqrt(2² - 4×1×-15))/(2×1) =
= (-2 ± sqrt(4 + 60))/2 = (-2 ± sqrt(64))/2 = (-2 ± 8)/2 =
= -1 ± 4
x1 = -1 + 4 = 3
x2 = -1 - 4 = -5
and you get the 2 solutions again. as expected, they are the same as with method 1, of course.
Split 60 minutes into 3 groups. 20+20+20=60 minutes. 20 minutes
Answer:
y = 1000 x .30 (+ 1000)
Step-by-step explanation:
since it grows by 30%, you multiply .30 (the decimal version of 30%) and 1000 (your initial amount) to find how much it grows. Then you add $1000 at the very end, because that is how much you started with.