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
MariettaO [177]
2 years ago
10

Which of the following sets of numbers could represent the three sides of a triangle? \{6,14,17\}{6,14,17} \{10,23,34\}{10,23,34

} \{10,14,26\}{10,14,26} \{7,20,28\}{7,20,28}
Mathematics
1 answer:
abruzzese [7]2 years ago
5 0

The sets of numbers which could represent the three sides of a triangle is {6,14,17}. Option A is the correct option.

<h3>What is triangle inequality theorem?</h3>

Triangle inequality theorem of a triangle says that the sum of the two sides of a triangle is always greater than the third side.

Suppose a, b and c are the three sides of a triangle. Thus, according to this theorem,

(a+b) > c\\(b+c) > a\\(c+a) > b

The sides of first option are, 6,14,and 17.

6+14 > 17\\20 > 17

This set satisfy the triangle inequality theorem. All the other options do not follow, to satisfy this theorem.

Thus, the sets of numbers which could represent the three sides of a triangle is {6,14,17}. Option A is the correct option.

Learn more about the triangle inequality theorem here;

brainly.com/question/309896

#SPJ1

You might be interested in
9 4/5 divided by 5 8/11
denis-greek [22]

Answer:

Step-by-step explanation:

392/275 as a fraction

6 0
2 years ago
Read 2 more answers
Paco needs at least 3/8 yard of twine to build a model ship.how much twine could he buy
Stells [14]
<em>Paco could buy 1/2 a yard, 5/8 yard, 3/4 yard, 7/8 yard, 1 yard, 1 1/8, so fourth since these fractions are all greater than 1. </em>
4 0
2 years ago
J(1)²,
Natali [406]

The table when completed looks like this:

x   -2   -1   0   1   2

f(x) 4   2   1    2   4.

We plot these points on the graph: (-2, 4), (-1, 2), (0, 1), (1, 2), (2, 4).

<h3>What is a function?</h3>

A function exists as a relation between a dependent variable (f(x)) and an expression of an independent variable (x), utilized to define the value of a dependent variable from a provided value of an independent variable.

We have been given a function,

$f(x)=\left \{ {{(1/2)^{x},x\leq 0 } \atop {2^x > 0}} \right.

We have to estimate the value of f(x) when x = {-2, -1, 0, 1, 2}

If the values of x ≤ 0, take f(x) = (1/2)ˣ then

f(-2) = (1/2)⁻² = 2² = 4

f(-1) = (1/2)⁻¹ = 2¹ = 2

f(0) = (1/2)⁰ = 1

If the values of x > 0,  take f(x) = 2ˣ then

f(1) = 2¹ = 2

f(2) = 2² = 4

The table exists as follows

x   -2   -1   0   1   2

f(x) 4   2   1    2   4.

We plot these points on the graph: (-2, 4), (-1, 2), (0, 1), (1, 2), (2, 4).

To learn more about independent and dependent variable refer to:

brainly.com/question/11719274

#SPJ9

7 0
1 year ago
Read 2 more answers
The depth of a lake in Lexington changes over time due to rainfall and evaporation. A few months ago, the depth was 1,300 feet.
SVETLANKA909090 [29]

Answer:

The Depth of the lake had increased by 19%.

Step-by-step explanation:

Given:

Depth of lake few months ago = 1300 ft

depth of lake currently = 1547 ft

We need to find the percent of increase in depth of lake.

Solution:

First we will find the increase in depth of lake.

Increase in depth of lake can be calculated by subtracting Depth of lake few months ago from depth of lake currently.

framing in equation form we get;

increase in depth of lake = 1547-1300= 247\ ft

Now to find the percent of increase in depth of lake we will divide  increase in depth of lake from Depth of lake few months ago and then multiply by 100.

framing in equation form we get;

percent of increase in depth of lake = \frac{247}{1300}\times 100 =  19\%

Hence the Depth of the lake had increased by 19%.

6 0
3 years ago
X+8/4 = -6 a.x = -32 b.x = 16 c.x = -16 d.x = -24 a. Hurryyyyy i need helppppppppp
son4ous [18]

Answer:

x = -8

Step-by-step explanation:

x + (8/4) = -6

x × 4 + (8/4) × 4 = -6 × 4

4x + 8 = -24

4x = -24 - 8

4x = -32

x = -8

6 0
3 years ago
Other questions:
  • What is the square root of ab2? <br> ab <br> b sq. rt. a<br> a2b2 <br> b2
    5·2 answers
  • Lila drives 129 kilometers round trip to work. how many kilometers does she drive in 31 days
    14·2 answers
  • Oak pollen sent 21,000 people to U.S. emergency rooms for asthma in 2010. By 2090 the rate could climb another 5 or 10 percent.
    10·1 answer
  • Find the area of a triangle bounded by the y-axis, the line f(x)=12-4x, and the line perpendicular to (f) that passes through th
    15·1 answer
  • Show two different ways to solve the following problem. Each wheel on a roller coaster turns 3999 times during the ride.how many
    13·1 answer
  • Caleb and Eva are running around a track. They both start at the same time. It takes Caleb 18 minutes to complete 1 lab. It take
    12·1 answer
  • Lines f and g are perpendicular. The equation of line f is y= 1a + 2. What is the
    12·1 answer
  • Help pls its iready ill give brainiest
    15·2 answers
  • How many, and what type of solutions, does3x2−x−5=0 have?
    13·1 answer
  • A rectangle has a length of (x + 4) feet and a width of (x + 7) feet. The expression
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!