Answer: Bottom-Right corner
The points are (-5,6) (-5,-6) (4,-6)
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Explanation:
What you do is go through each of the answer choices, plot the points, and see which give you a right triangle. A right triangle has one 90 degree angle.
The upper-left choice leads to an obtuse triangle, so we can cross that off the list. It turns out that the other choices lead to right triangles.
The upper-right choice has a hypotenuse of roughly 11.18, so that's also eliminated
The bottom-left choice has a hypotenuse of 10.82, which means we cross that off the list
The bottom-right choice has a hypotenuse of 15, so we found the answer
Note: you use the distance formula to find the length of the hypotenuse. The distance formula is
d = sqrt((x1-x2)^2+(y1-y2)^2)
Answer: 
Step-by-step explanation:
Since we have given that

And we know that θ is in the Fourth Quadrant.
So, Except cosθ and sec θ, all trigonometric ratios will be negative.
As we know the "Trigonometric Identity":

It must be negative due to its presence in Fourth quadrant.
Hence, 
The value of x in the equation (43/7 ÷ x + 32/9) ÷ 25/6 = 4/3 is 43/14
<h3>How to solve for x in the equation?</h3>
The equation is given as:
(43/7 ÷ x + 32/9) ÷ 25/6 = 4/3
Rewrite as a product
(43/7 ÷ x + 32/9) x 6/25 = 4/3
Multiply both sides of the equation by 25/6
(43/7 ÷ x + 32/9)= 4/3 x 25/6
Evaluate the product
(43/7 ÷ x + 32/9)= 50/9
Rewrite the equation as:
43/7x + 32/9= 50/9
Subtract 32/9 from both sides
43/7x = 2
Multiply both sides by 7x
14x = 43
Divide by 14
x =43/14
Hence, the value of x in the equation (43/7 ÷ x + 32/9) ÷ 25/6 = 4/3 is 43/14
Read more about equations at:
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The correct answer is D, since a rotation of 360 has no effect, since the figure does a whole turn and returns where it was.
Answer:
P(A) = 86 / 265
P(B) = 39 / 153
P(C) = 243 / 326
Note:
Missing data as follow
Number of children No job Part-time Full-time Total
0 16 39 98 153
1 86 59 126 271
2 163 80 83 326
Total 265 178 307 750
Computation:
P(A) = 86 / 265
P(B) = 39 / 153
P(C) = (163 + 80) / 326 = 243 / 326