Answer by Mimiwhatsup: D. Polygons 1 and 2
Why: They have the exact same shape all you need to do is move the points a little and it would be the same thing almost.
Answer: p value is 0.1685.
Step-by-step explanation:
Since we have given that
The survey is conducted on a random sample of 240 pet owners.
Out of them, number of owners spoke to their pet on telephone = 79
n = 240
x = 79

Our hypothesis would be

Formula for test statistic would be

p value = 0.1685
Hence, p value is 0.1685.
I'll focus on problem 19 and problem 22
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Problem 19
Answers:
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Explanation:
The horizontal lines are parallel. Note the arrow markers along the interior portion of the lines. These similar markers tell us how the lines pair up to be parallel to one another.
Since the horizontal lines are parallel, this means the angles in question are congruent. They are corresponding angles.
x+15 = 102
x = 102-15
x = 87
Which leads to
x+15 = 87+15 = 102
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Problem 22
Answer: y = 27
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Explanation:
We have a pair of alternate exterior angles. They are congruent due to the parallel lines.
Let's solve for y.
7y-55 = 3y+53
7y - 3y = 53+55
4y = 108
y = 108/4
y = 27
Para redondear este número a 1,000, verifiquemos el tercer dígito del número.
Si el dígito es mayor que 5, aumentamos el siguiente número en 1 unidad.
Si el dígito es menor o igual a 5, mantenemos el siguiente número.
El tercer dígito es 3, por lo que el número redondeado es:
Ok so first we need to work out the vertical line in the middle (ab) using Pythagoras
Square root(7.5^2+4.9^2) to get 8.958794562
Now we know the length of the line ab so we can work out x using trigonometry
Since line ab is opposite the angle and x is adjacent (or not the hypotenuse the slope) the tan rule is used which is tan(0)=o/a
So tan(55.8)=8.9587../a
*a. *a
/tan(55.8). /tan(55.8)
a=8.9587../tan(55.8)
a=6.088390497
a=6.09
x=6.09