Answer:
x = 20
Step-by-step explanation:
The angles shown are alternate exterior angles.
Alternate exterior angles are congruent
This means that 46 must equal 3x - 14
Note that we've just created an equation that we can use to solve for
We now use the equation to solve for x
3x - 14 = 46
add 14 to both sides
3x - 14 + 14 = 46 + 14
simplify
3x = 60
Divide both sides by 3
3x / 3 = x
60 / 3 = 20
We get that x = 20
9514 1404 393
Answer:
nπ -π/6 . . . for any integer n
Step-by-step explanation:
tan(x) +√3 = -2tan(x) . . . . . given
3tan(x) = -√3 . . . . . . . . . . . add 2tan(x)-√3
tan(x) = -√3/3 . . . . . . . . . . divide by 3
x = arctan(-√3/3) = -π/6 . . . . use the inverse tangent function to find x
This is the value in the range (-π/2, π/2). The tangent function repeats with period π, so the set of values of x that will satisfy this equation is ...
x = n·π -π/6 . . . . for any integer n
She bought 4, then she bought 3 more....so she bought 7 packs
each pack contains 12 pencils..
so 7 packs each containing 12 pencils ...
7(12) = 84 total pencils <===
Answer:
A
Step-by-step explanation:
the function is moved up by 8 on the y axis which means you need a +8 that isn't directly attached to the x
Answer:
y = 24
Step-by-step explanation:
3x + y = 6
Solve for y
Subtract 3x from each side
3x -3x+ y = 6-3x
y = 6-3x
Let x = -6
y = 6 -3(-6)
=6+18
=24
