Answer:
x = 35
Step-by-step explanation:
First count how many interior angles we have here.
There are 6 interior angles.
so we then can determine the interior sum of the angles here.
Inside angle sum = 180*(6 - 2) degrees = 180*4 = 720 degrees
so
(4x - 5)+(4x - 3) + 118 +(3x+6) + (3x-3) + 117 = 720 degrees
8x - 8 + 118 + 6x + 3 + 117 = 720 degrees
14x -8 + 118 + 120 = 720 degrees
14x + 230 = 720
14x = 720 - 230
14x = 490
x = 35
Answer:
7x + 14
Step-by-step explanation:
the first thing to do is expand the parentheses/brackets.
3(5x + 2) -2(4x - 4) will be
3(5x) + 3(2) -2(4x) -2(-4)
= 15x + 6 - 8x + 8
collect like terms
15x - 8x + 6 + 8 = 7x + 14
the answer is 7x + 14
Answer:
Because θ lies in quadrant II, 2θ must lie in quadrant IV. This means the tangent of 2θ is negative.
The adjacent side to θ is 7 because √(25²-24²)=7, so tanθ=7/24.
The double angle formula for tangent is tan 2θ = (2 tan θ) / (1 − tan² θ).
Substituting the value for tanθ in and keeping in mind that this is in quadrant IV, we get tan 2θ = -(2(7/24)/(1-(7/24)²)).
Simplified, this becomes tan 2θ = -336/527.
Therefore, the answer is C. -336/527.
I think it is B but I might be wrong
