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Dafna11 [192]
3 years ago
5

Given: Quadrilateral DEFG

Mathematics
1 answer:
nadya68 [22]3 years ago
3 0
We know that
The inscribed angle Theorem states that t<span>he inscribed angle measures half of the arc it comprises.
</span>so
m∠D=(1/2)*[arc EFG]
and
m∠F=(1/2)*[arc GDE]

arc EFG+arc GDE=360°-------> full circle

applying multiplication property of equality
(1/2)*arc EFG+(1/2)*arc GDE=180°

applying substitution property of equality
m∠D=(1/2)*[arc EFG]
m∠F=(1/2)*[arc GDE]
(1/2)*arc EFG+(1/2)*arc GDE=180°----> m∠D+m∠F=180°

the answer in the attached figure

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Ava deposited $3,500 in an account that earned 4.375% interest
Bumek [7]

Answer:

4335.61

Step-by-step explanation:

Using the equation A = P (1 + r/n)^nt

lets fill  in the variables,

P (principal) is 3500.00

r (rate) is .04375  - we do this in decimal form

n (number of times interest is doubled) here it is annually, could be monthly or daily too, but we are told annually, so we use 1

t (time) is 5 years

So:   3500(1+.04375/1) ^ 1(5)

pemdas

parenthesis first 1 +.04375/1 = 1.04375

exponents next 1 x 5 = 5

so now we have 3500 (1.04375) ^5

take 1.04375 to the power of 5 (pemdas) then multiplication

= 3500(1.2387465058)  or

A = 4335.61

This is the same result as calculating simple interest for 5 years but each year calculating off the new Principal amount that includes interest.

3500 x  .04375 = 153.125  or 3653.125   *(year one)

159.82 = 3812.95  

166.82 = 3979.77

174.11 = 4153.88  

181.73 = 4335.61

5 0
2 years ago
7. Write the equation of the line that is perpendicular to y = -5x + 1 and passes through the point (2,-1). slope intercept equa
Svetach [21]

Answer:

y = 1/5x - 7/5

Step-by-step explanation:

y = 1/5x + b

-1 = 1/5(2) + b

-1 = 2/5 + b

-7/5 = b

4 0
2 years ago
A jar contains six red marbles 10 Green marbles and eight blue marbles. A marble was elected at random, The color was recorded,
maksim [4K]
Relative frequency = (number of times an item appears) /(TOTAL numbers)

Relative frequency (selecting Red ) = 13/30 =0.434
6 0
3 years ago
What’s the missing value 2x+3y=12
I am Lyosha [343]

Step-by-step explanation:

To solve this, you either need x or y. So x or y can be the missing values. The most you can do is simply move one of the terms to the other side.

6 0
3 years ago
Paul drinks 6 cups of coffee each day. Each cup contains 275 milliliters of coffee. How
scZoUnD [109]
<h3>Answer:  11.55 liters</h3>

=================================================

Work Shown:

275 mL = 275/1000 = 0.275 L

1 cup = 0.275 L

6 cups = 6*0.275 L = 1.65 L

He drinks 1.65 L per day, so over 7 days he drinks a total of 7*1.65 = 11.55 liters.

5 0
2 years ago
Read 2 more answers
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