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
worty [1.4K]
3 years ago
15

Which set of numbers may represent the lengths of the sides of a triangle? (A) {2,5,9} (B) {6,6,7} (C) {6,4,2} (D) {7,8,1}

Mathematics
1 answer:
Olin [163]3 years ago
3 0

Answer:

B {6, 6, 7}

Step-by-step explanation:

Which set of numbers may represent the lengths of the sides of a triangle? (A) {2,5,9} (B) {6,6,7} (C) {6,4,2} (D) {7,8,1}

For a given triangle with 3 sides, the sun of the length of any two sides must be greater Than the third side. This can be expressed mathematically as;

Let the side be ;

x, y and z

Then:

x > (y + z) or

y > (x + z) or

z > (x + y)

For A{2,5,9}

(2 + 5) < 9 (does not meet criteria)

For B {6,6,7}

(6 +6) > 7

(7 +6) > 6

Meets all criteria

For C {6,4,2}

(4 +2) is not greater Than 6 (does not meet criteria)

For D {7,8,1}

(7 +1) is not greater Than 8 ( does not meet criteria)

You might be interested in
the scale from a square park to a drawing of the park is 5 m to 1 cm the actual park has an area of 1,600 m² what is the area of
ludmilkaskok [199]

Answer:

<h2>64 cm²</h2>

Step-by-step explanation:

given:

the scale from a square park to a drawing of the park is 5 m to 1 cm

the actual park has an area of 1,600 m²

find:

what is the area of the drawing of the park​

solution:

drawing scale is 5m : 1cm

<u>1,600 m² </u> = <u>      5² m²  </u>    

   x                  1² cm²

cross multiply:

5² m² x = 1600 m² (1 cm²)

x =<u> 1600 m² </u>

      5² m²

x = 64 cm²

therefore, the area of a square park in the drawing is 64 cm²

5 0
3 years ago
Write the equation for a parabola with a focus at (7,-6) and a directrix at x = 5.
notka56 [123]
55336533223885848848485858
5 0
3 years ago
Linear equations. Solve the equation: 10 = 7x - 4
lutik1710 [3]

Answer: x = 2

Step-by-step explanation:

10 = 7x - 4

Add 4 to both sides

10 + 4 = 7x - 4 + 4

14 = 7x

Divide through by 7

\frac{14}{7}=\frac{7x}{7}

2 = x

Therefore :

x = 2

5 0
3 years ago
Read 2 more answers
Which of the following expresses the ratio of 3 inches to 2 yards?
Over [174]
1\ yard=36\ inches\\&#10;ratio:3\ inches:2\ yards\\&#10;2\ yards=72\ inches\\&#10;\\&#10;ratio:&#10;3:72[inches]\\&#10;The\ correct\ answer\ is\ B.
4 0
3 years ago
Read 2 more answers
Between which two x-values is the funtion contant?
LiRa [457]
The function is constant when the line is horizontal. The values are from 0 to 3.
5 0
3 years ago
Other questions:
  • Need help ASAP please
    9·1 answer
  • How will adding the value 90 affect the mean and median of the data set 1, 5, 5, 6, 9, 10?
    14·2 answers
  • Solve the equation 2x3 + 7x2 – 10x – 24 = 0 in the real number system.
    6·2 answers
  • The following system has a solution: x=10, y=-3, z=14
    13·1 answer
  • Serena paid a tax of $288 on a house assessed at $48,000. Using the same tax rate, find the tax on a house assessed at $59,000.
    9·1 answer
  • If P is the incenter of JKL, find each measure
    12·1 answer
  • A taxi charges $1.75 plus a fee of $0.75 for each mile traveled. The total cost of a ride, without a tip, is $4.75. How many mil
    10·1 answer
  • What is the surface area of the figure? Use 3.14 for π....PLEASE HELP....NEED HELP ASAP
    15·2 answers
  • 14. Last month, a truck made 7 round trips to Chicago and some round trips to Little Rock. Write an expression that shows how ma
    12·1 answer
  • The diagram shows the dimensions of the pool cover for a hotel pool. find the area of the pool cover
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!