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soldier1979 [14.2K]
2 years ago
10

Which of the following statements must be true about this diagram? Check all that apply.

Mathematics
1 answer:
pishuonlain [190]2 years ago
8 0

Answer:

Options (D), (E) and (F) are the correct options.

Step-by-step explanation:

From the figure attached,

1). Angle 4 is the exterior angle of the given triangle having interior angles 1, 2 and 3.

Therefore, by the property of exterior angle,

∠4 = ∠1 + ∠2

2). Since ∠4 = ∠1 + ∠2,

Therefore, ∠4 will be greater than ∠1

 Similarly, ∠4 will be greater than ∠2

Therefore, Options (D), (E) and (F) are the correct options.

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Suppose we want to choose 5 objects, without replacement, from 13 distinct objects. (a) How many ways can this be done, if the o
Arisa [49]

Answer:

A. 1, 287 ways

B. 154,440 ways

Step-by-step explanation:

A. We want to choose 5 objects from a total 13, without considering the order in which they are chosen.

The correct way to do this is by using the combination formula since order is not considered;

Thus we have ; 13 C 5 read as 13 combination 5;

Mathematically, n C r is ; n!/(n-r)!r!

Thus, we have ;

13!/(13-8)!8! = 13!/5!8! = 1,287 ways

B. By considering order, we shall be using the permutation formula;

Mathematically n P r = n!/(n-r)!

Read as n permutation r;

Using the numbers involved, we have ; 13 P 5

= 13!/(13-5)! = 13!/8! = 154,440 ways

8 0
2 years ago
I if the no of Girates at congtin were reduced by 63% what would be the approximate ratio of giraffes to animals in other catego
Arada [10]

Answer:

Giraffe:Others = 3:7

Step-by-step explanation:

<em>See Attachment for complete question</em>

For this question, we only need the data at the Congtin column.

So, we have:

Giraffes = 124

Other = 108

First, we need to reduce Giraffe by 63%.

This gives:

New\ Giraffe = Giraffe - 63\% * Giraffe

New\ Giraffe = 124 - 63\% * 124

New\ Giraffe = 124 - 78.12

New\ Giraffe = 45.88

Represent this as a ratio:

Giraffe:Others = 45.88:108

The closest to this ratio is 3:7.

This is shown by dividing the ratio by 15

i.e.

Giraffe:Others = 45.88/15:108/15

Giraffe:Others = 3.0589:7.2

Approximate:

Giraffe:Others = 3:7

3 0
1 year ago
Create a storyline (word problem) using the following algebraic expression: 1,000/r
mamaluj [8]

Answer:

Suppose there are 1,000 candies in a jar. There are 50 children in a room. If i want to share 1000 candies among all the children. How can i divide 1,000 candies equally in 50 children.

Step-by-step explanation:

Create a story line(word problem) means to create a fake or real story by translating an algebraic expression in english.

We can create a story by the given 1,000/r:

Suppose there are 1,000 candies in a jar. There are 50 children in a room. If i want to share 1000 candies among all the children. How can i divide 1,000 candies equally in 50 children.

Here r = 50....

7 0
1 year ago
610 people go on a coach trip each coach can hold 55 people how many coaches are needed
diamong [38]

Answer:

12

Step-by-step explanation:

610 divided by 55 = 11.09

but since u cant have 11.09, u need 12

4 0
2 years ago
Read 2 more answers
Which pair of undefined terms is used to define a ray?
Romashka-Z-Leto [24]

A point and a line.

<h3>Further explanation </h3>

Ray is part of the line with one endpoint. Ray is an endless straight path in one direction from a starting point, e.g., \boxed{ \ \overrightarrow{PQ} \ }.

The arrow above the point shows the direction of the longitudinal beam. The length of the ray cannot be calculated.

Undefined terms are basic figure that is not defined in terms of other figures. The undefined terms (or primitive terms) in geometry are a point, line, and plane.

These key terms cannot be mathematically defined using other known words.

  • A point represents a location and has no dimension (size).  It is labeled with a capital letter and a dot.
  • A line is an infinite number of points extending in opposite directions that have only one dimension. It has one dimension. It is a straight path and no thickness.
  • A plane is a flat surface that contains many points and lines.  A plane extends infinitely in all four directions.  It is two-dimensional.  Three noncollinear points determine a plane, as there is exactly one plane that can go through these points.  
<h3>Learn more </h3>
  1. Which points are coplanar and noncollinear? brainly.com/question/4165000
  2. Definition of the line segment brainly.com/question/909890
  3. What are three collinear points on a line? brainly.com/question/5795008

Keywords: which pair of undefined terms, to define a ray, point, line, plane, endpoint, one direction, the arrow

4 0
2 years ago
Read 2 more answers
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