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DanielleElmas [232]
3 years ago
8

By the Triangle Inequality Theorem which set of side lengths could create a triangle? A) 5, 10, 4 B) 5, 7, 13 C) 7, 9, 3 D) 10,

4, 5
Mathematics
1 answer:
Serga [27]3 years ago
4 0
The correct answer is C.

Triangle inequality means 2 sides of the triangle added up must be longer than the remaining side. Therefore, to find the correct answer quickly, we can add up the shortest 2 sides and see if they exceed the remaining side.

For A,
5 + 4 = 9
9 < 10
Therefore, A is incorrect.

For B,
5 + 7 = 12
12 < 13
Therefore, B is not correct.

For C,
7 + 3 = 10
10 > 9
C is the correct answer.

Heres D, to make sure the answer C is correct.
4 + 5 = 9
9 < 10
D is not correct.

Let's add up the remaining sides to make sure C completely satisfies the rule.

9 + 3 = 12
12 > 7
7 + 9 = 16
16 > 3

Therefore, the answer is C.
You might be interested in
What ordered pair is a solution for y-4=7(x-6)
777dan777 [17]

The ordered pair (6 , 4) is a solution for y - 4 = 7(x - 6)

Step-by-step explanation:

The point-slope form of a linear equation is:

y-y_{1}=m(x-x_{1}) , where

  • m is the slope of the line
  • (x_{1},y_{1}) is a point on the line

Any point on the line is a solution for the equation of the line

The solution of an equation is the values of x and y which make the left hand side is equal to the right hand side

∵ The equation is y - 4 = 7(x - 6)

- Compare the equation by the point-slope form above

∴ m = 7

∴ x_{1} = 6 and y_{1} = 4

- That means point (6 , 6) lies on the line

∴ Point (6 , 4) is a point on the line which represents the

   given equation

∵ Any point on a line is a solution of the equation of that line

∴ (6 , 4) is a solution of the equation

The ordered pair (6 , 4) is a solution for y - 4 = 7(x - 6)

Learn more:

You can learn more about the linear equations in brainly.com/question/1284310

#LearnwithBrainly

8 0
3 years ago
Change 84% to a fraction
Sauron [17]
21/25 first you would do 84/100 then you would simplify 
3 0
3 years ago
Thr diffrence between 4,632 and 20,000
stira [4]
The answer to that is :

15,368
6 0
3 years ago
Read 2 more answers
3e + 7 - e and 2e + 10 + 2e -3
ch4aika [34]

Answer:

The sum is

6e  + 14

Step-by-step explanation:

Assuming we are finding the sum of :

3e + 7 - e and 2e + 10 + 2e -3

Then we set up the addition as follows:

3e + 7 - e + 2e + 10 + 2e - 3

We group similar try to get:

3e  - e + 2e +  2e - 3 + 7 + 10

We now combine the similar terms to obtain:

6e  + 14

Therefore the sum is

6e  + 14

5 0
4 years ago
Jerome is a pharmacy technician that filled a prescription that use 1/4 bottle of ibuprofen. How many pills did jerome use for t
Neporo4naja [7]

It is clearly mentioned in the question that each bottle of ibuprofen has 1000 pills.

Now, 1/4 bottle of ibuprofen is used to make the prescription.

So, if one bottle of ibuprofen has 1000 pills and 1/4 1/4 bottle of ibuprofen is used to make the prescription, then Jerome obviously used \frac{1000}{4}=250 pills of ibuprofen to make the prescription.

This can be further explained as follows:

1 bottle=1000 pills

\therefore \frac{1}{4} bottle=\frac{1000}{4}=250 pills.


7 0
4 years ago
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