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
marusya05 [52]
3 years ago
10

What is the range of possible sizes for side x? _ < x < _

Mathematics
2 answers:
qwelly [4]3 years ago
8 0

Answer:

2.8 < x < 5.8

Step-by-step explanation:

We must apply the Triangle Inequality Theorem which states that for any triangle with sides a, b, and c:

a + b > c

b + c > a

c + a > b

Here, let's arbitrarily denote a as 4.1, b as 1.3, and c as x. So, let's plug these values into the 3 inequalities listed above:

a + b > c  ⇒  4.1 + 1.3 > x  ⇒  5.8 > x

b + c > a  ⇒  1.3 + x > 4.1  ⇒  x > 2.8

c + a > b  ⇒  x + 4.1 > 1.3  ⇒  x > -2.8

Look at the last two: clearly if x is greater than 2.8 (from the second one), then it will definitely be greater than -2.8 (from the third), so we can just disregard the last inequality.

Thus, the range of possible sizes for x are:

2.8 < x < 5.8

<em>~ an aesthetics lover</em>

zysi [14]3 years ago
8 0

Answer:

There are two cases: either x is the largest value or 4.1 is the largest value.

First case: x is largest so that means x < 4.1 + 1.3 which becomes x < 5.8

Second case: 4.1 is largest so that means x + 1.3 > 4.1 which becomes x > 2.8

Answer is 2.8 < x < 5.8.

You might be interested in
Describe fully the single<br>transformation that takes<br>shape A to shape B.​
Soloha48 [4]
Búscalo en m a t h w a y hay tiene que aparecer que tengas buen día
5 0
3 years ago
Drag one or more expressions into each box to
ASHA 777 [7]

Answer:

the right answer is x(x+2)

3 0
3 years ago
What does P equal to?<br><br> -4p=3p+28
VladimirAG [237]
-4p=3p+28
-4p+4p=3p+3p+28
-28=6p+28-28
p=-28/6
p=-4 2/3
6 0
3 years ago
—2+7+(-4).<br> Evaluate
MakcuM [25]

Answer:

1

Step-by-step explanation:

-2 + (-4) = -6 + 7 = 1

evaluate = solve

5 0
3 years ago
Read 2 more answers
A store has ergonomic chairs on sale for 10% off of the regular price. Cayley finds a chair she wants to buy that has an origina
KatRina [158]
I think it 317.36
$325+10%=29.5+8.5%=317.36
5 0
3 years ago
Other questions:
  • X/2=40/16<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B2%7D%20%20%3D%20%20%5Cfrac%7B40%7D%7B16%7D%20" id="TexFormula
    6·1 answer
  • A prism has three times the volume of a pyramid with the same base and altitude.
    10·2 answers
  • The perimeter of a triangle is 84 meters. The longest side of the triangle is 7 meters less than twice the length of the shortes
    13·1 answer
  • 8.81 as a mixed number
    8·2 answers
  • How many miles does he drive in six hours?
    15·1 answer
  • Help please algebra 2
    6·1 answer
  • Factor The Expression And Show Work
    5·1 answer
  • a broken pipe was leaking water at the rate of 2gal every 5 minutes. it took 23 min to stop the leak. how many gallons of water
    12·1 answer
  • If f(x) is an even function, which function must also be even?
    13·1 answer
  • Questin below!!!!!!!!!!!!!!!!
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!