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oksian1 [2.3K]
3 years ago
10

How much is left after 24,815.00 in taxes is deducted from an annual salary of 83,500.00

Mathematics
1 answer:
Debora [2.8K]3 years ago
6 0

$58,685 would be the amount left over.

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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
This week, Maria ate 60%, or 420 grams, of a jumbo
bearhunter [10]

Answer:

0.4 is left in the box

Step-by-step explanation:

1.00 = jumbo box of cereal

1.00-60%= 1-0.6=0.4

3 0
3 years ago
A library building is in the shape of a rectangle. Its floor has a length of (3x + 5) meters and a width of (5x − 1) meters. The
malfutka [58]
We can use the Front Outside Inside Last (FOIL) method to expand the double bracket

(3x+5)(5x-1)

Front ⇒(3x)(5x)=15 x^{2}
Outside ⇒(3x)(-1)=-3x
Inside ⇒(5)(5x)=25x
Last ⇒(5)(-1)=-5

Put the four terms together we have
15 x^{2} -3x+25x-5, then collect like terms
15 x^{2} +22x-5
5 0
3 years ago
Read 2 more answers
What is the square root of 50x^4
love history [14]

Answer:

5x²√2

Step-by-step explanation:

√50x^{4}

The <em>square root of x^4 is x²</em>.

The <em>square root of 50 is 5√2</em>.

Multiplying those two gives us 5x²√2

6 0
3 years ago
Which of the following options have the same value as 96% of 25​
Maru [420]
96% of 25 is 24 hope this helps
8 0
3 years ago
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