Answer:
x=1
Step-by-step explanation:
5x + 2 = 3x + 4(2x - 1)
Distribute the 4
5x + 2 = 3x + 8x - 4
Combine like terms
5x + 2 = 11x - 4
Subtract 5x from each side
5x -5x + 2 = 11x - 5x - 4
2 = 6x-4
Add 4 to each side
2+4 = 6x-4+4
6 = 6x
Divide each side by 6
6/6 =6x/6
1= x
Factor out the cos<span>θ:
</span>cosθ (2sin<span>θ + sqrt3) = 0
</span>Therefore, the only ways this can happen are if either cosθ = 0 or if (2sin<span>θ + sqrt3) = 0
</span>The first case, cosθ = 0 only at θ <span>= pi/2, 3pi/2.
</span>The second case, <span>(2sin<span>θ + sqrt3) = 0 simplifies to:
</span></span>sin<span>θ = (-sqrt3)/2
</span><span><span>θ = 4pi/3, 5pi/3
</span></span><span><span>Therefore the answer is A.
</span></span>
The congruency statement which is true among the answer choices is;
- On a coordinate plane, triangle G H I is rotated 90 degrees clockwise and then is reflected over the y-axis.
- Triangle G H I is congruent to triangle G double-prime H double-prime I double-prime.
<h3>Which congruency statement is true?</h3>
According to the task content, the initial transformation is; Triangle GHI is rotated 90Degrees clockwise and then reflected over the y-axis.
On this note, the congruency which are true regarding the transformation are;
- On a coordinate plane, triangle G H I is rotated 90 degrees clockwise and then is reflected over the y-axis.
- Triangle G H I is congruent to triangle G double-prime H double-prime I double-prime.
This follows from the fact that the transformation.does not involved dilation by means of a scale factor and hence, size remains equal and all angle measures remain the same.
Read more on triangle congruence;
brainly.com/question/2102943
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Answer: A compound event is the combination of two or more simple events (with two or more outcomes).
Step-by-step explanation:
