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
BabaBlast [244]
3 years ago
13

A triangle has one side length of 12 inches and another of 8 inches. Describe all possible lengths of the third side.

Mathematics
1 answer:
jasenka [17]3 years ago
3 0

Answer:

The possible lengths of the third side is all real numbers greater than 4 inches and less than 20 inches

Step-by-step explanation:

we know that

<u>The Triangle Inequality Theorem</u>. states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

Let

x -----> the possible lengths of the third side

Applying the Inequality Theorem

1) 12+8 > x

20 > x

Rewrite

x < 20 in

2) 8+x > 12

x> 12-8

x > 4 in

therefore

4 in < x < 20 in

The possible lengths of the third side is all real numbers greater than 4 inches and less than 20 inches

You might be interested in
If f(x) = 4x - 6, what is f(6)?<br> A. 4<br> B. 32<br> C. 3<br> D. 18
Sliva [168]
Your answer is D you’re welcome!
4 0
3 years ago
Please Help I Don't Understand.
lyudmila [28]

BE and CD are parallel, so the triangles ABE and ACD are similar. Then the following relation holds:

AE/AD = AB/AC

10/(10 + 8) = x/(x + 6)

Solve for x :

10 (x + 6) = x (10 + 8)

10x + 60 = 18x

8x = 60

x = 60/8 = 7/5

6 0
2 years ago
What is the area of this tile?<br><br> 10in<br><br> 8in<br><br> 6in
Maksim231197 [3]

Answer: I can give you the volume: 480. But to find the area I need more context to know which are the length and width.

8 0
3 years ago
​In a sample of 800 U.S.​ adults, 199 think that most celebrities are good role models. Two Two U.S. adults are selected at rand
mel-nik [20]

Answer:

Step-by-step explanation:

Given that in a sample of 800 U.S.​ adults, 199 think that most celebrities are good role models. Two Two U.S. adults are selected at random from the population of all U.S. adults without replacement.

In 800 adults 199 are favourable and remaining 601 are against.

a) The probability that both adults think most celebrities are good role models is ________= Prob of selecting both from 199

= \frac{199C2}{800C2} \\=0.0616

=0.062

b) The probability that neither adult thinks most celebrities are good role models is _______=P(both selecting from 601)

=  \frac{601C2}{800C2} \\=0.5641

=0.564

c) The probability that at least one of the two adults thinks most celebrities are good role models ______

=1-Prob that neither thinks

= 1- 0.564

= 0.436

6 0
3 years ago
A menu has three meat choices, three vegetable choices and two
Paha777 [63]

Answer:

18 ways

Step-by-step explanation:

The computation of the number of ways that could be choose your dinner as follows:

= 3 meat choices × 3 vegetable choices × 2 desserts

= 18 ways

By multiplying all the three things we can determined the number of ways

8 0
2 years ago
Other questions:
  • When 6x² - 4x+3 is subtracted<br> from 3x²–2x+3, the result<br> is
    9·1 answer
  • Three plus the reciprocal of a number equals 7 divided by that number. What is the number?
    9·1 answer
  • What is the percent from 39 to 17
    9·1 answer
  • What is the next number in the pattern: 5, 7, 6, 8, 7, 9, 8,
    5·2 answers
  • Subtract (x+8)-(-3x-5)
    8·1 answer
  • One last question: Pls answer it.
    5·1 answer
  • What is the probability of rolling a 2 or a 4 on a 6 section spinner?
    12·1 answer
  • The product of a number and -7 is at most -70. what is inequality 18 points
    14·1 answer
  • Convert each measure into radians
    9·1 answer
  • Please I need help asap
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!