The first one- the rest don’t add up
M < PQS + m < RQS = 180° because they are supplementary angles.
Therefore:
(3x + 3) + (x + 19) = 180
3x — 3 + x + 19 = 180
4x + 16 = 180
Subtract 16 from both sides
4x — 16 = 180 — 16
4x = 164
Divide both sides by 4:
4x/4 = 164/4
x = 41
Therefore, the correct answer is x = 41
They all have the same y-intercept
Answer: 5.475 x 10^8
Step-by-step explanation: The number has to be in between 1 and 10 so you move your decimal as many times as you need to. In this situation it is 8, so that is your power
The solutions appear to be
{π/2, 2π/3, 4π/3}.
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Replacing sin(2x) with 2sin(x)cos(x), you have
2sin(x)cos(x) +sin(x) -2cos(x) -1 = 0
sin(x)(2cos(x) +1) -(2cos(x) +1) = 0 . . . . factor by grouping
(sin(x) -1)(2cos(x) +1) = 0
This has solutions
sin(x) = 1
x = π/2and
2cos(x) = -1
cos(x) = -1/2
x = {2π/3, 4π/3}