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Leviafan [203]
3 years ago
12

8 x 90 x 8(78960) x

lass="latex-formula">
Mathematics
1 answer:
Mademuasel [1]3 years ago
4 0

Answer:

here is your ans have a nice day

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E and f are supplementary. the measure of e is 54 more than the measure of f. find the measures of each angle.
Katen [24]
Supplementary means they add up to 180

X + 54 = 180

180-54= x

X = 126

126+54=180?

Yep

So your answer is

126
6 0
3 years ago
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
F(x)=x^2-2.g(x)=4x-2
Alex777 [14]

Answer:

Step-by-step explanation:

f(x) = x²-2

g(x) = 4x-2

f.g(x)= x²-2(4x-2) = x²(4x-2)-2(4x-2) = 4x³-2x²-8x+4

f.g(x) =  4x³-2x²-8x+4

7 0
3 years ago
Raoul estimated the difference of 97.23 and 8.3 by rounding each number to the nearest whole. What was Raoul's estimate, and wha
skelet666 [1.2K]

Answer:

Raoul estimated the difference to be: 89

97.23 --> 97

8.3 --> 8

97-8= 89

The actual difference is: 88.93

97.23-8.3 = 88.93

6 0
3 years ago
Why is the percent increase from 45 to 75 not equal to the percent decrease from 75 to 45? Select three options
Korvikt [17]

Answer:

where are the three options

Step-by-step explanation:

6 0
3 years ago
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