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Zinaida [17]
1 year ago
5

M∠DFG=(2x+6)° and m∠EFG=(3x−11)°. Find the value of x.

Mathematics
1 answer:
BigorU [14]1 year ago
7 0

Answer:

x = 37

Step-by-step explanation:

A straight angle is 180 degrees. That means ∠DFG & ∠EFG have to add together to be 180.

2x + 6 + 3x - 11 = 180     Combine like terms

5x - 5 = 180                   Add 5 to both sides

5x = 185                         Divide by 5

x = 37

∠DFG = 80°

∠EFG = 100°

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drek231 [11]

The number of months it would take the bunny farm to triple in size is 5.3 months.

<h3>When would the bunny farm be triple its size?</h3>

The formula that can be used to determine the number of months it would take Mrs. Galicia's bunnies to triple in size is:

Number of years =  (In FV / PV) / r

  • FV = future population of the bunnies
  • PV = present population of the bunnies
  • r = rate of growth
  • FV / PV = 3

IN(3) / 0.2075 = 5.3 months

To learn more about tripling time, please check: brainly.com/question/21841217

8 0
2 years ago
Kim purchased 6 small containers of potato salad and Seth purchased 2 extra
victus00 [196]

Answer:

the difference is that the 2 extra LARGE containers weigh bigger than the

6 small ones

Step-by-step explanation:

6 0
2 years ago
A man has 1 coins in his pocket, all of which are dimes and quarters. Aif the total value of his change is $2.75, how many dimes
VLD [36.1K]

Using a system of equations, it is found that there are 5 dimes and 9 quarters in his pocket.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given as follows:

  • Variable x: number of dimes in his pocket.
  • Variable y: number of quarters in his pocket.

He has a total of 14 coins, hence:

x + y = 14 -> y = 14 - x.

They are worth $2.75, hence, considering the value of each coin(dimes $0.1 and quarters $0.25), we have that:

0.1x + 0.25y = 2.75

Since y = 14 - x:

0.1x + 0.25(14 - x) = 2.75

x = (0.25*14 - 2.75)/0.15.

x = 5.

y = 14 - x = 14 - 5 = 9.

There are 5 dimes and 9 quarters in his pocket.

More can be learned about a system of equations at brainly.com/question/24342899

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4 0
1 year ago
What is the volume of the sphere in terms of<br> |<br> --<br> 6 in.
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Answer:

904.3 cubic inches

Step-by-step explanation:

v= 4/3 π r^3

= 1.33 x 3.14 x 6^3

= 904.3 cubic inches

6 0
2 years ago
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Answer:

Step-by-step explanation:

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