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tensa zangetsu [6.8K]
3 years ago
9

I need help with this​

Mathematics
1 answer:
Svetllana [295]3 years ago
7 0

Answer:

m∠z = 106°

Step-by-step explanation:

From the figure attached,

By exterior angle theorem,

m∠z = a + 68°

By linear pair theorem,

m∠a + 142° = 180°

m∠a = 180° - 142°

        = 38°

Therefore, m∠z = 38° + 68°

                          = 106°

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Enter an equation in the form y = mx + b that represents the function described by the graph.
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6 0
4 years ago
Read 2 more answers
Write the equation of a circle with center (4, -5) and radius = square root of 13
Anon25 [30]
<h2>Hello!</h2>

The answer is:

The equation of the given circle is:

(x-4)^{2}+(y+5)^{2}=13

<h2>Why?</h2>

The equation of a circle is given by the following equation:

(x-h)^{2} +(y-k)^{2}=r^{2}

We are given the center point (4,-5) and the radius.

So,

Where:

h=x=4\\k=y=-5\\r=\sqrt{13}

Then, substituting into the circle equation, we have:

(x-4)^{2} +(y-(-5))^{2}=(\sqrt{13})^{2}

(x-4)^{2} +(y-(-5))^{2}=(\sqrt{13})^{2}

Hence, the simplified equation of the circle is:

(x-4)^{2}+(y+5)^{2}=13

Have a nice day!

3 0
4 years ago
Read 2 more answers
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