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Dvinal [7]
3 years ago
6

Find the measure of the numbered angle.

Mathematics
1 answer:
Mila [183]3 years ago
4 0
The angle adjacent to angle 6 is the one we need to find first.  To do this, add the measures of the intercepted arcs and divide by 2.  60 + 50 = 110, and half of that is 55.  That means that both adjacent angles to the angle 6 are 55 (vertical angles are congruent).  The measure of all the angles added together is 360 and angle 6 is vertical to the other "sideways" angle, so they are congruent as well.  360 - 55 - 55 = 250.  Split that up between angle 6 and its vertical angle to get that each of those measure 125.  Angle 6 measures 125, choice b from above.
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The formula is: <br><img src="https://tex.z-dn.net/?f=v%20%3D%20%20%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%7Br%7D%5E%7B3%7D%20" id="TexFor
uranmaximum [27]

Answer:

Volume of hemisphere=

<u>\frac{2}{3} \pi   {r}^{3}</u>

<u>Volume</u><u> </u><u>of</u><u> </u><u>sphere</u><u>=</u><u> </u>

<u>\frac{4}{3} \pi {r}^{3}</u>

Step-by-step explanation:

\frac{2}{3}  \times  \frac{22}{7}  \times  {8}^{3}

Using calculator=

1072.761905

Round to the nearest tenth=

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5 0
3 years ago
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Digiron [165]
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8 0
3 years ago
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Fantom [35]

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Step-by-step explanation:

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2 years ago
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AleksAgata [21]

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8 0
3 years ago
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The vertex angle of an isosceles triangle measures ( 6x -9)° and one of the base angles measures (4x)°. What is the value of x?
Gnom [1K]

Answer:

x = 13.5

Step-by-step explanation:

We know that base angles of an isosceles triangle are equal. The base angles of the triangle are (4x)° each. The vertex angle of the traingle is (6x-9)°. So according to angle sum property of triangle,

6x - 9 + 4x + 4x = 180

=  > 6x - 9 + 8x = 180

=  > 14x - 9 = 180

=  > 14x = 180  + 9 = 189

=  > x =  \frac{189}{14}  = 13.5

5 0
3 years ago
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