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3 years ago

Which is a true statement about an exterior angle of a triangle?

Mathematics

1 answer:

svlad2 [7]3 years ago

6 0

Answer:

B. It forms a linear pair with one of the interior angles of the triangle.

hope this helped! <3

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g natasha is in a class of 30 students that selects 4 leaders. How many ways are there to select the 4 leaders so that natasha i

Papessa [141]

Answer:

<h2>3,654 different ways.</h2>

Step-by-step explanation:

If there are 30 students in a class with natasha in the class and natasha is to select four leaders in the class of which she is already part of the selection, this means there are 3 more leaders needed to be selected among the remaining 29 students (natasha being an exception).

Using the combination formula since we are selecting and combination has to do with selection, If r object are to selected from n pool of objects, this can be done in nCr number of ways.

nCr = n!/(n-r)!r!

Sinca natasha is to select 3 more leaders from the remaining 29students, this can be done in 29C3 number of ways.

29C3 = 29!/(29-3)!3!

29C3 = 29!/(26!)!3!

29C3 = 29*28*27*26!/26!3*2

29C3 = 29*28*27/6

29C3 = 3,654 different ways.

This means that there are 3,654 different ways to select the 4 leaders so that natasha is one of the leaders

5 0

3 years ago

Is the GCF of two even numbers 2

lions [1.4K]

No, GCF means greatest common factor, meaning the largest number than can be divided into the number. 2 would be the lowest common factor or LCF.
EX. 200 & 440. In this case the GCF would be 40, but the LCF would be 2 because they are both even numbers

3 0

3 years ago

Read 2 more answers

Can someone help me on this question?

Semenov [28]

Use the formula: A= (a+b/2)h
A=(8+5/2)6
A=39
The answer is the light blue box, 39cm^2

4 0

2 years ago

Read 2 more answers

1. The equation of a circle is x^2 + y^2 + 6x - 4y + 4 = 0. What are the center and the radius of the circle? Show ALLLLLL your

Novosadov [1.4K]

Answer:

(2, -3) and r = 3.

Step-by-step explanation:

you can also plug this equation in desmos but I guess it's good to know how to do it also:

The equation of a circle is (x-h)^2 + (y-k)^2 = r^2

Now in order to make a perfect square on both sides, we need to do this:

First add 9 to both sides:

x^2 + 6x + 9 + y^2 -4y +4 = 9.

I purposely shifted it to show the perfect square created when you add 9 to both sides. Factor:

(x+3)^2 + y^2 - 4y + 4 = 9.

now the second bolded part is allso a perfect square. Factor:

(x+3)^2 + (y-2)^2 = 9

Based on the equation of a circle, the center must be at (2, -3) and the radius is the square root of 9 which is 3.

8 0

2 years ago

Andrea is designing the seating arrangement for a concert in her local park. to give everyone a good view, each row must have 4

RideAnS [48]

Andrea is designing the seating arrangement for a concert in her local park. The number of seats in row 20 would be 86 seats.

<h3>What is the Arithmetic Sequence?</h3>

Arithmetic sequence is a sequence where each consequtive term has a common constant difference.

An arithmetic sequence, therefore, is defined by two parameters, viz. the starting term and the common difference.

The arithmetic sequence formula is;

aₙ = a + (n − 1)d,

where;

a is the first term

n is the position of the term in the sequence

d is the common difference

aₙ is the nth term of the sequence.

Our sequence is 10, 14, 18, 22 up to row 20.

Using the sequence formula;

$a_{20} = 10 + (20 - 1)4.\\a_{20} = 10 + (19\times 4)\\a_{20}= 10 + 76\\a_{20}= 86.$

Thus, the number of seats in row 20 was 86 seats.

Read more about Arithmetic Sequence at;

brainly.com/question/26960394

#SPJ1

3 0

2 years ago