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
9966 [12]
2 years ago
13

Which dimensions cannot create a triangle?

Mathematics
1 answer:
podryga [215]2 years ago
4 0

Answer:

three angles measuring 109º, 25º, and 145º cannot create a triangle

three angles measuring 40º, 70º, and 65º cannot create a triangle

Step-by-step explanation:

<u><em>Verify each dimensions</em></u>

Part 1) three angles measuring 109º, 25º, and 145º

Remember that the sum of the interior angles of a triangle must be equal to 180 degrees

In this problem we have

109^o+25^o+145^o=279^o

279^o> 180^o

therefore

three angles measuring 109º, 25º, and 145º cannot create a triangle

Part 2) three sides measuring 9 m, 15 m, and 9 m

we know that

The <u><em>Triangle Inequality Theorem</em></u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

Applying the triangle inequality theorem

1) 9+15 > 9 ---> is ok

2) 9+9 > 15 ---> is ok

therefore

three sides measuring 9 m, 15 m, and 9 m can create a triangle

Part 3) three angles measuring 40º, 70º, and 65º

Remember that the sum of the interior angles of a triangle must be equal to 180 degrees

In this problem we have

40^o+70^o+65^o=175^o

175^o< 180^o

therefore

three angles measuring 40º, 70º, and 65º cannot create a triangle

Part 4) three sides measuring 6 cm, 8 cm, and 10 cm

we know that

The <u><em>Triangle Inequality Theorem</em></u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

Applying the triangle inequality theorem

1) 6+8 > 10 ---> is ok

2) 8+10 > 6 ---> is ok

3) 6+10 > 8 ---> is ok

therefore

three sides measuring 6 cm, 8 cm, and 10 cm can create a triangle

You might be interested in
Is 3.667 a rational number,interger,or whole number
steposvetlana [31]
Rational 3667/1000
^^^^^^^^^^^
4 0
2 years ago
A bag contains 4 blue marbles, 2 yellow marbles, and 6 orange marbles. What is the probability of picking an orange marble and t
ikadub [295]

We will see that the probability of picking two orange marbles without replacement is 0.23

<h3>How to get the probability?</h3>

If we assume that all the marbles have the same probability of being randomly picked, then the probability of getting an orange marble is given by the quotient between the number of orange marbles and the total number of marbles, this gives:

P = 6/12 = 1/2

And then we need to get another orange marble, without replacing the one we picked before, this time there are 5 orange marbles and 11 in total, so the probability is:

Q = 5/11

Finally, the joint probability (of these two events happening) is the product of the probabilities, so we get:

P*Q = (1/2)*(5/11) = 0.23

If you want to learn more about probability, you can read:

brainly.com/question/251701

5 0
2 years ago
(Please help)Choose the correct answer and please explanation each (Brainliest)
Vesnalui [34]

Answer:

1. C

2. D

3. C

Explanation:

1. Girls = 12 plus twice the number of boys, so  C. y = 12 + 2x.

2. You have to see which point has the second value being greater than the first value:

 A) -1 > -2 is not true

 B) 0 > 1 is not true

 C) 2 > 3 is not true

 D) 8 > 4 is true, so it's D

3. Add the two values and see if it's less than 5

 A) -1-4 < 5 is true

 B) 0 + 4 < 5 is true

 C) 1 + 7 < 5 is not true, so this is the answer

 D) 2 + 2 < 5 is true

3 0
2 years ago
the total price of 6 movie tickets is 71.40 if each ticket cost the same amount how much does one movie ticket cost
mr Goodwill [35]

Answer:

11.9

Step-by-step explanation:

71.40 divided by 6

7 0
2 years ago
A pair of pants originally cost $15 and are 10% off. In addition, you have a coupon to get another 20% off. How much will the pa
GalinKa [24]
I believe it is 10.50
8 0
3 years ago
Read 2 more answers
Other questions:
  • Lucy is shipping 5 boxes that all weigh the same, and 1 envelope that weighs 7.5 pounds. The total weight of the shipment is 65
    6·2 answers
  • Simplify: |3.98 + 4.73| – |4.89 + 6.14| A. -3.67 B. -2.32 C. 2.34 D. 3.69
    13·2 answers
  • Nadia is making a copy of an image on the copy machine. She needs to enlarge it, and decides to enlarge it by a scale factor of
    12·2 answers
  • The coffee beans from 14 trees are required to produce 7.7 kg of coffee. This is the
    13·1 answer
  • What is the domain for the function?<br><br> someone please help
    15·1 answer
  • Please help me i am in trouble
    15·2 answers
  • Find the missing measures of the parallelogram <br> UT=<br> ST=<br> VS=<br> VT=
    14·1 answer
  • A force of 192 lb is required to hold a spring stretched 3 ft beyond its natural length. How much work W is done in stretching i
    8·1 answer
  • Please help this is (finding the volume of a cone) any tips, answers anything ??
    13·2 answers
  • Help please I will give brainleist
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!