What is the best approximation of the solution to the system to

Mathematics

1 answer:

Temka [501]2 years ago

7 0

Answer: (2,3)

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Explanation:

The intersection point of the two lines is where the solution point is located.

The x coordinate of that intersection point is a bit smaller than x = 2, but when rounded to the nearest whole number, we would get to x = 2.

At the same time, the y coordinate of the intersection point is a bit above y = 3, which rounds to this value when rounding to the nearest whole number.

So that's how we get to (2,3)

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What is the measure of arc WXY

bonufazy [111]

Answer:

152°

Step-by-step explanation:

Let P be any point on tangent $\overleftrightarrow{YZ}$ and WY is secant or chord of the $\odot J$ .

$\therefore m\angle WYZ + m\angle WYP = 180°\\(Straight \: line \: \angle 's) \\\therefore 104° + m\angle WYP = 180°\\\therefore m\angle WYP = 180°- 104° \\\red{\boxed {\bold {\therefore m\angle WYP = 76°}}} \\$

NOW, by tangent secant theorem:

$m\angle WYP =\frac{1}{2}\times m(\widehat{WXY}) \\\\76°=\frac{1}{2}\times m( \widehat{WXY}) \\\\76°\times 2 =m( \widehat{WXY}) \\\huge \purple {\boxed {\therefore m(\widehat{WXY}) = 152°}}$