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
m_a_m_a [10]
2 years ago
14

What is the range of possible sizes for side x

Mathematics
1 answer:
Xelga [282]2 years ago
3 0

Answer:

0.5 < x < 16.5

Step-by-step explanation:

For a triangle (by the triangular inequality theorem), we know that the sum of any two sides must be larger than the other side.

When we have a triangle and we know two sides, let's define the measures of these sides as S1 and S2.   (such that S2 > S1)

By the first property, we will have that S1 + S2 > S3

Where S3 is the third side, the one that we do not know.

But there is also a lower restriction, given by:

S2 - S1 < S3 < S1 + S2

This is because we also must have:

S1 + S3 > S2

and

S2 + S3 > S1

We can rewrite both of these to get:

S2 - S1 < S3

S1 - S2 < S3

Because S2 > S1, the first inequality is more restrictive, so we need to use that one.

Then we get the inequality:

S2 - S1 < S3 < S1 + S2

Ok, in this case, the shorter side is 8.0 then:

S1 = 8.0

And the longer side is 8.5, then:

S2 = 8.5

And the third side is x, S3 = x

Replacing those in our inequality, we get:

8.5 - 8.0 < x < 8.5 + 8.0

0.5 < x < 16.5

This is the range of possible sizes for side x.

You might be interested in
kylee's car got broken into. her stereo and gps system, worth $400 total, were stolen. given kylee's insurance policy summary be
Finger [1]
She will be paid back about four hundred dollars total i hope it helps
4 0
3 years ago
Read 2 more answers
(x2−1)(x+1)≥0. pls help me​
docker41 [41]

Step-by-step explanation:

(x²-1)(x+1)≥0

As it has two multiples,

Therefore,

Either,

x²-1≥0

x²≥0+1

x²≥1

x≤√1

x≤1

Or,

x+1≥0

x≥-1

7 0
2 years ago
Eight classrooms need to be painted. Teachers can choose between yellow or blue. How many possible outcomes are there?
rusak2 [61]
The answer is 16 outcomes, there are two possible outcomes per classroom, and there are 8 classrooms
7 0
2 years ago
Read 2 more answers
Who ever gets this wright first gets a thanks!
melisa1 [442]
Your answer is 15, if you need help to figure out how I did that let me know.

4 0
3 years ago
I need help first will be the brainiest!
Schach [20]

step 1

magsagot ka nang magsagot ng mga question yun lang basta maganda yung sagot mo

6 0
3 years ago
Other questions:
  • How can I learn the heart of algebra in 3 days for my PSAT ​
    7·1 answer
  • — Бу + 9y<br> How do I simplify
    14·2 answers
  • Which property is illustrated by the statement?
    13·2 answers
  • In 2010, Haiti was hit by a devastating earthquake, which registered at 7.0 on the Richter scale. The largest recorded earthquak
    6·2 answers
  • I need help is it A B C or D
    15·1 answer
  • -1/2 + (3/4times4/9)=
    14·1 answer
  • Find the volume ofthe prism7.8.crn1을ft3 ftcm41-41981312ran
    9·1 answer
  • I need help plz answer !
    11·1 answer
  • im bought 10 used books at the yard sale How much did she pay? Did you use addition or multiplication to solve this problem? Why
    11·1 answer
  • What is the function ?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!