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Contact [7]
2 years ago
5

The measure of the exterior angle of the triangle is ° .

Mathematics
1 answer:
Ira Lisetskai [31]2 years ago
4 0

equal to the sum of the measures of the two non-adjacent interior angles of the triangle

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Morris has 2 3/4 gallons of ice tea. He gives 3/7 of it to her friend. How many gallons of ice tea does Morris have left?
lara31 [8.8K]

Answer:

2 \frac{9}{28} gallons of ice tea is left with Morris

Step-by-step explanation:

Morris has 2 3/4 gallons of ice tea. He gives 3/7 of it to her friend.

Morris has 2 3/4 gallons of ice tea

2\frac{3}{4}= \frac{2*4+3}{4}=\frac{11}{4}

He gives 3/7 of it to her friend.

To find how many gallons of ice tea does Morris have left , we subtract 3/7 from 11/4

\frac{11}{4}- \frac{3}{7}

Make the denominators same

\frac{11*7}{4*7}- \frac{3*4}{7*4}

\frac{77}{28}- \frac{12}{28}

\frac{65}{28}

\frac{65}{28} = 2 \frac{9}{28}

7 0
2 years ago
A tunnel is constructed with a semielliptical arch. The width of the tunnel is 80 feet, and the maximum height at the center of
slavikrds [6]

Answer:

Step-by-step explanation:

Example Equation of an ellipse with horizontal major axis with center at (0,0):

x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2=1

For given problem:

b=20

b^2=400

a=30

 

a^2=900

equation: x%5E2%2F900%2By%5E2%2F400=1

y%5E2%2F400=1-x%5E2%2F900

7 0
3 years ago
Read 2 more answers
A textbook search committee is considering
lora16 [44]

Number of ways to select 3 books from 13 books for adoption is 286 .

<u>Step-by-step explanation:</u>

A Permutation is an ordered Combination. When the order does matter it is a Permutation. There are basically two types of permutation:

  • Repetition is Allowed: such as the lock above. It could be "333".
  • No Repetition: for example the first three people in a running race. You can't be first and second.

Formula is given by:

nC_r= \frac{n!}{r! (n-r)!} , where n is the number of things to choose from,  and we choose r of them,  no repetitions,  order matters. Here , n=13 , r=3.

⇒ 13C_3 = \frac{13!}{3!(13-3)!}

⇒ 13C_3 = \frac{13!}{3!(10)!}

⇒ 13C_3 = \frac{13(12)(11)10!}{3(2)(1)(10)!}

⇒ 13C_3 = 13(2)(11)

⇒ 13 C_3 = 286

∴ Number of ways to select 3 books from 13 books for adoption is 286 .

3 0
2 years ago
Factor this expression completely and then place the factors in the proper location on the grid. 36y2 - 1
Tema [17]
I'm assuming that y2 means y^2 or y squared. In that case, your factors will be (6y+1) and (6y-1). 
7 0
2 years ago
Read 2 more answers
Given the function f(x) = 3x + 1 what is f(-2)?
Readme [11.4K]

Answer:

-5

Step-by-step explanation:

f(-2) means that -2 is going to be our input in this function.

To solve this, simply substitute -2 for x in the expression given.

If f(x) = 3x+1, then f(-2) = 3(-2) + 1

3(-2)+1 = -6+1 = -5

Hope this helped!

7 0
2 years ago
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