1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Kobotan [32]
3 years ago
10

Determine whether each set of numbers can represent the sides of a triangle:

Mathematics
1 answer:
lesya [120]3 years ago
4 0
<h3>{ 13, 9, 6} represent the sides of a triangle</h3>

<em><u>Solution:</u></em>

<em><u>Use the triangle inequality law</u></em>

The sum of the lengths of any two sides of a triangle must be greater than the third side

<em><u>Option A</u></em>

{13, 9, 6}

13 + 9 > 6\\\\22 > 6

Also,

9+6>13\\\\15>13

Thus, sum of length of any two sides is greater than third side

Therefore, { 13, 9, 6} represent the sides of a triangle

<em><u>Option B</u></em>

{12, 7, 20}

12+7>20\\

19 is not greater than 20

Therefore, {12, 7, 20} does not represent the sides of a triangle

<em><u>Option C</u></em>

{25, 50, 75}

25+50>75\\

75 is equal to 75

Therefore, {25, 50, 75} does not represent the sides of a triangle

You might be interested in
In a study of brand recognition, 795 consumers knew of Amazon, and 10 did not. Use these results to estimate the probability tha
Rzqust [24]

Answer:

The probability that a randomly selected consumer will recognize Amazon is 0.988.

Step-by-step explanation:

The data given in the question is

Total number of consumers = 795 + 10 = 805

Consumers who knew of Amazon = 795

Consumers who did not know of Amazon = 10

The formula for calculating probability of an event A is:

P(A) = No. of favourable outcomes/Total no. of possible outcomes

P(Recognize Amazon) = No. of Consumers who knew Amazon/Total no. of consumers

P(Recognize Amazon) = 795/805

                                     = 0.98757

P(Recognize Amazon) ≅ 0.988

The probability that a randomly selected consumer will recognize Amazon is 0.988.

7 0
3 years ago
shoe sells for a certain company were $25.9 billion. sales are expected to increase by about 20% in the next year. find the proj
ExtremeBDS [4]
25.9 × 1.2 = 31.08

$31.08 billion
3 0
3 years ago
Are the triangles similar? If so, state the similarity and the postulate or theorem that justifies your answer.
malfutka [58]

The triangles are similar by SAS principle.

<h3>How to know similar triangles?</h3>

Similar triangles have the same shape but may have different sizes.

In similar triangles, corresponding sides are always in the same ratio.

The corresponding angles are congruent.

Therefore, using SAS ratio,

6 / 8 = 8 × 3 / 32

6 / 8  = 24 / 32 = 3 / 4

Therefore, the corresponding sides are a ratio of each other.

Therefore, the triangles are similar by SAS principles because the two triangles have two pairs of sides in the same ratio and the included angles are also equal

learn more on similar triangle here: brainly.com/question/21480885

#SPJ1

6 0
2 years ago
The Anderson family is preparing for a family reunion. They think they will need 22 juice boxes for every 6 children who attend.
BlackZzzverrR [31]

Answer:

44

Step-by-step explanation:

22 for every six kids

12 is 6 doubled so you double 22 to get 44

8 0
3 years ago
Read 2 more answers
Solve for x. See attachment.....
N76 [4]
64=-4+4x
64+4=4x
68=4x
68/4=x
17=x
8 0
3 years ago
Other questions:
  • Someone help me do this question step by step please? ASAP
    15·1 answer
  • Match the verbal expression to its correct algebraic expression. Five more than the square of a number Five more than twice a nu
    12·1 answer
  • In 1998 the World Health Organization reported the findings of a major study on the quality of blood pressure monitoring around
    15·1 answer
  • Your class can fit no more than 20 students. Write an inequality that best fits this situation.
    9·1 answer
  • Need help with the answer for both questions!!!!!!!!
    14·1 answer
  • What is the volume of the composite figure. Explain
    7·1 answer
  • What is and 20 ft circumference of a circle
    15·1 answer
  • Wite the equation of the linear relationship in slope-intercept form.<br><br><br> Help me please:))
    11·1 answer
  • On the coordinate plane below, quadrilaterals TRAP and HELP are similar to each other.
    7·2 answers
  • 49. Make Sense and Persevere A person's
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!