Answer:
x^2-7x+12
Step-by-step explanation:
Answer: x = 40
Step-by-step explanation:
these two angles are vertical angles, they will equal each other
therefore, move numbers and variables to the opposite sides of the = sign to isolate the X
3x-10 = 2x + 30
+10 +10 move the -10 by doing opposite
_____________
3x = 2x + 40
-2x -2x move -2x by doing opposite
____________
x = 40
you can check your work by substituting 40 in place of x
3(40) - 10 = 2(40) +30
120-10 = 80 + 30
110 = 110
answer is correct
1 pencil and 4 pens = 5 total
Picking the pencil would be 1/5 ( 1 pencil out of 5 total items)
5 color pencils + 5 crayons = 10 total items.
Picking a color pencil would be 5/10 which reduces to 1/2
To find the probability of both happening, multiply them together:
1/5 x 1/2 = 1/10
The probability is 1/10
4sin x=2sin x + √3
4sin x-2sinx=√3
2sin x=√3
sinx=√3/2
x=arcsin √3/2=π/3 + 2Kπ U 2π/3+2Kπ
Sol: π/3 + 2Kπ U 2π/3+2Kπ ; K∈Z
π/3+2Kπ=60º+360ºk
2π/3+2Kπ=120º+360ºK