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steposvetlana [31]
3 years ago
5

jason made 42 christmas cookies he gave half of them to his teacher he ate 1 third of them then gave 8 to his little sister how

many do santa get
Mathematics
1 answer:
ch4aika [34]3 years ago
6 0

Answer:

and why did teacher ate it

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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
2 years ago
Translate into Algebra.
S_A_V [24]

Answer: $D - $R

Step-by-step explanation:

Given the following :

Amount Jen had initially = $D

Amount had after purchasing video = $R

Amount she paid for the video =?

Amount she paid for video = ( Initial amount had before purchasing video - amount had after purchasing video)

Hence,

Amount paid for video = $D - $R

7 0
3 years ago
A phone sells for $250. It is now on sale for 1··5off the original price. April has a coupon for an extra 10% off the sale price
anastassius [24]

It's on a sale for 1 fifth of the original price?

4 0
3 years ago
Describe how to decide if 94 is a prime or composite number
Tema [17]
If 94 has any other factors other than 1 and itself it is a composite number if it has only 1 and itself then it is prime
3 0
2 years ago
Read 2 more answers
Plums are $3.25 for 2 pounds, i need 4 pounds. how much will it cost
olasank [31]
<u />\frac{3.25}{2lbs} = \frac{x}{4lbs}  \\  \frac{3.25}{2} *  \frac{2}{2} = \frac{x}{4}  \\  \frac{3.25 * 2}{2*2} = \frac{x}{4}  \\ 3.25*2 = x \\ x = 6.50
It will cost $6.50 for four pounds of plums.

Hope this helps!
4 0
3 years ago
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