3 years ago

A pair of vertical angles has measures (3x+4)° and (7x-9)° What is the value of x?

1 answer:

5 0

Since they are vertical they are equal to each other.

3x + 4 = 7x - 9
4 = 4x - 9
13 = 4x
3.25 = x

So the value of x is 3.25.

Hope this helps :)

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The equation (x-3)^2+(y+7)^2=64 models the position and range of the source of a radio signal. Describe the position of the sour

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$\bf \textit{equation of a circle}\\\\ 
(x- h)^2+(y- k)^2= r^2
\qquad 
center~~(\stackrel{}{ h},\stackrel{}{ k})\qquad \qquad 
radius=\stackrel{}{ r}\\\\
-------------------------------\\\\
(x-3)^2+(y+7)^2=64\implies [x-\stackrel{h}{3}]^2+[y-(\stackrel{k}{-7})]^2=\stackrel{r}{8^2}
\\\\\\
center~(3,-7)\qquad radius=8$

so, the broadcast location and range is more or less like the picture below.