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SVEN [57.7K]
2 years ago
5

Q4. Find the range, standard deviation, and variance for the following sample data:

Mathematics
1 answer:
AURORKA [14]2 years ago
5 0

Answer:

40 I think but no I think

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1) Given: circle k(O), ED= diameter ,m∠OEF=32°, m(arc)EF=(2x+10)° Find: x
qaws [65]

1. The major arc ED has measure 180 degrees since ED is a diameter of the circle. The measure of arc EF is (2x+10)^\circ, so the measure of arc DF is

m\widehat{DF}=360^\circ-180^\circ-(2x+10)^\circ=(170-2x)^\circ

The inscribed angle theorem tells us that the central angle subtended by arc DF, \angle DOF, has a measure of twice the measure of the inscribed angle DEF (which is the same angle OEF) so

m\angle DOF=2m\angle OEF=64^\circ

so the measure of arc DF is also 64 degrees. So we have

170-2x=64\implies106=2x\implies\boxed{x=53}

###

2. Arc FE and angle EOF have the same measure, 56 degrees. By the inscribed angle theorem,

m\angle EOF=2m\angle EDF\implies56^\circ=2m\angle EDF\implies m\angle EDF=28^\circ

Triangle DEF is isosceles because FD and ED have the same length, so angles EFD and DEF are congruent. Also, the sum of the interior angles of any triangle is 180 degrees. It follows that

m\angle EFD+m\angle EDF+m\angle DEF=180^\circ\implies\boxed{m\angle EFD=76^\circ}

Triangle OFE is also isosceles, so angles EFO and FEO are congruent. So we have

m\angle EFO+m\angle FEO+m\angle EOF=180^\circ\implies\boxed{m\angle EFO=62^\circ}

7 0
3 years ago
What is 7.436 rounded to the nearest tenth
Dmitriy789 [7]
It's 7.4 because the 3 doesn't round the 4 up.
8 0
3 years ago
Which of the following are NOT factors of 24?
Pavel [41]

Answer:

5,7

Step-by-step explanation:

3 0
2 years ago
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A band earned $550.00 for playing at a concert. Their manager takes 15% of the money earned for each show and the band is donati
NemiM [27]
550-15%-20%=374 

that sounds about right
6 0
3 years ago
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Look at this linear equation. 3x + 5y = 30 Which of the following equations can be used to solve for y in the linear equation ab
-BARSIC- [3]
Y=-
\frac{3}{5} x + 6


5 0
2 years ago
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