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yKpoI14uk [10]
3 years ago
7

Circle H is inscribed with quadrilateral D E F G. Angle E is 123 degrees. The measure of arc D E is 73 degrees. What is the meas

ure of arc EF in circle H? 41° 50° 114° 173°
Mathematics
2 answers:
schepotkina [342]3 years ago
8 0

Answer:

41 degrees

Step-by-step explanation:

step 1

<em>Find the measure of arc DGF</em>

we know that

The inscribed angle is half that of the arc comprising

so

m\angle E=\frac{1}{2}[arc\ DGF]

we have

m\angle E=123^o

substitute

123^o=\frac{1}{2}[arc\ DGF]

arc\ DGF=246^o

step 2

<em>Find the measure of arc EF</em>

we know that

arc\ DGF+arc\ DE+arc\ EF=360^o ----> by complete circle

substitute the given values

246^o+73^o+arc\ EF=360^o

319^o+arc\ EF=360^o

arc\ EF=360^o-319^o=41^o

Ksju [112]3 years ago
7 0

Answer:

A. 41

Step-by-step explanation:

Anyone on Edg 2020

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Rob invests $3,715 in a retirement account
lions [1.4K]

Answer:

$14,048.62

Step-by-step explanation:

The interest is 9% per year and compounded 3 times a year, so each compound will be 9%/3 = 3%

The time elapsed will be 15 years and the interest compounded 3 times a year, so the number of compounds happens will be = 15 years* 3 compounds/year= 45x compound.

So basically the money will get 3% interest 45 times. To put into the compounding interest formula, the final account balance will be:

A = P (1 + [ r / n ]) ^ nt

A= amount of the balance after a period of t

P= principal, the initial money deposit( $3,715)

r= rate(9%)

n= number of compound per unit of time(3 times per year)

t= time(15 years)

The calculation will be:

A = P (1 + [ r / n ]) ^ nt

A = $3,715(\frac{1+0.09}{3} )^{3*15}

A = $14,048.62

4 0
3 years ago
PLZZ HURRY!!Its due in 30 minutessss
babunello [35]

Step-by-step explanation:

in option c

rectangle have four right angled and two pair of parallel side

in option b

only one pair of parallel side

5 0
3 years ago
My teacher never explained how to do this so im kinda lost so can i get help and get the answers on these please(ASAP)
ivolga24 [154]

Answer: This shat def a virus

Step-by-step explanation:

7 0
3 years ago
Not sure need help ​
kvasek [131]

Answer:

X = 3

Step-by-step explanation:

So do 7-2 which equals 5. 5 times 6 because 6 is outside of the parentheses with no symbol, so that means to multiply. That would equal 30. You want your answer to equal 6, so you would want the number inside of the parentheses to be 1, so that 1 times 6 would be 6. 2 x 3 would be sixe, and then 7-6 would equal one. 1 times 6 would be 6. So there is your answer.

4 0
3 years ago
Read 2 more answers
Given the figure below, find the values of x and z.<br> (10x - 65)<br> (9x - 49)
nexus9112 [7]
(10x - 65) degrees is equal to (9x - 49) degrees, therefore you can set them into an equation.

(10x - 65) = (9x - 49)

By subtracting 9x in both sides,

(10x - 9x) - 65 = (9x -9x) - 49

x - 65 = -49

By adding 65 in both sides,


x - 65 + 65= -49 + 65
x = 16


Next, to find the value of z, it’s important to know that the straight line has 180 degrees. Then you would substitute the x value you found into one of your equation and subtract it from 180.

10 (16) - 65 = 160 - 65 = 95

Now you know that (10x - 65) degrees is equal to 95 degrees,

180 - 95 = z = 85


Answer: x = 16
z = 85
5 0
2 years ago
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