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Dominik [7]
3 years ago
15

What is 8/16 I will give brainlyist

Mathematics
1 answer:
zepelin [54]3 years ago
3 0

Answer:one half

Step-by-step explanation:

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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
Factor 3a^2+6ab-24b^2
Monica [59]
(3a²+6ab-24²)= 3a(a+2b)x(4b)
7 0
3 years ago
Help help help math math
kiruha [24]

Answer:

add x to both sides. once you do this, you will get x+y=15

3 0
2 years ago
Read 2 more answers
How do you do this promblem?
Sladkaya [172]
I don’t know but I need to answer a question so this is my answer
7 0
3 years ago
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Can anyone tell me the correct answer of this. I already have it but I wanna make sure. please ​
Mamont248 [21]

Answer:

x = 44.3°

Step-by-step explanation:

Redrawing the triangle,

To obtain x, we can apply the trigonometric relation :

Sin x = opposite / hypotenus

Opposite side = 6.5

Hypotenus = 9.3

Sin x = 6.5/9.3

x = sin^-1(6.5 / 9.3)

x = 44.34

x = 44.3°

4 0
3 years ago
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