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3 years ago

Help please thanks!! (:

Mathematics

1 answer:

Masja [62]3 years ago

5 0

The first thing we do in a problem like this is let arc AB equal X. X is the magic letter, anything you need to find name it x. We also know that all arcs in a circle must add up to 360, so arc ALB is equal to 360 - x.

There's this theorem saying that when two tangents intersect from a point outside a triangle, the measure of the angle formed by the intersection of the tangents (angle P) is equal to the half the difference of the arcs.
This basically means:

angle P = 1/2(360 - x) - x.
plug in the value of angle P
84 = 1/2(360 - x - x)
168=360 - 2x
2x = 192
x = 96

arc AB=96

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Answer:

The answer is $x=-\frac{50}{8}$ and $y=\frac{11}{2}.$

Step-by-step explanation:

Given:

-4x-2y=14

-10x+7y=-24

Now, to solve it by elimination:

$-4x-2y=14$ ......(1)

$-10x+7y=-24$ ......(2)

So, we multiply the equation (1) by 7 we get:

$-28x-14y=98$

And, we multiply the equation (2) by 2 we get:

$-20x+14y=-48$

Now, adding both the new equations:

$-28x-14y+(-20x+14y)=98+(-48)$

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Dividing both the sides by -8 we get:

$x=-\frac{50}{8}$

Now, putting the value of $x$ in equation (1):

$-4x-2y=14$

$-4(-\frac{50}{8})-2y=14$

$\frac{200}{8} -2y=14$

$25-2y=14$

Subtracting both sides by 25 we get:

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Dividing both sides by -2 we get:

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Let μ be the the average attendance at games of the football team

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$H_{0}$ : μ=523

$H_{a}$ : μ>523

The conclusion is failure to reject the null hypothesis.

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