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
Taya2010 [7]
3 years ago
11

Determine whether the three segment lengths will produce a triangle. Type yes or no in the space provided.

Mathematics
1 answer:
tresset_1 [31]3 years ago
5 0

Answer:

20 , 20 , 30 will produce a triangle

Step-by-step explanation:

* Lets study how to know if the lengths of the three segments

 can formed a triangle

- It is a fact that in any triangle the sum of the smallest two sides

 must be greater than the largest side

- Lets study some examples

# If the lengths of the three segments are 5 , 6 , 7

∵ 5 and 6 are the smallest

∴ 5 + 6 = 11

∵ 11 > 7 ⇒ the sum greater than the 3rd side

∴ 5 , 6 , 7 can formed a triangle

# If the lengths of the three segments are 5 , 7 , 12

∵ 5 and 7 are the smallest

∴ 5 + 7 = 12

∵ 12 = 12 ⇒ the sum equal the 3rd side

∴ 5 , 7 , 12 can not formed a triangle

# If the lengths of the three segments are 10 , 12 , 24

∵ 10 and 12 are the smallest

∴ 10 + 12 = 22

∵ 22 < 24 ⇒ the sum less than the 3rd side

∴ 10 , 12 , 24 can not formed a triangle

* Now lets solve the problem

∵ The length of the three segments are 20 , 20 , 30

∵ 20 and 20 are the smallest

∴ 20 + 20 = 40

∵ 40 > 30 ⇒ the sum greater than the 3rd side

∴ 20 , 20 , 30 will produce a triangle

You might be interested in
Which term best describes the relationship between the two lines?
liraira [26]

Answer:

B Probably shouldn't trust me

Step-by-step explanation:

7 0
3 years ago
What is the value of x? Enter your answer in the box. x =
Montano1993 [528]

Answer:

x=9

Step-by-step explanation:

We have two similar triangles because both lines are parallel, use proportions to solve:

\frac{72}{9} =\frac{56}{3x-20}\\8=\frac{56}{3x-20}\\8(3x-20)=56\\3x-20=7\\3x=27\\x=9

4 0
2 years ago
Total mass vs. numbers of cd and numbers of cd
Gekata [30.6K]

Answer: Choice A) M = 0.25n + 100

=============================================================

Explanation:

For now, I'll treat n as x, and M as y.

In other words,

  • x = number of CDs
  • y = total mass in kg

Let's select two points from this graph. I'll pick (200,150) and (400,200)

The slope of the line through those points is

m = (y2-y1)/(x2-x1)

m = (200-150)/(400-200)

m = 50/200

m = 0.25

Now we'll use the point (x,y) = (200,150) along with that slope value to find the y intercept b

y = mx+b

150 = 0.25*200+b

150 = 50+b

150-50 = b

100 = b

b = 100

You could also use (x,y) = (400,200) and you should get the same b value.

In fact, any other point from this graph works as well.

------------------------------

Since m = 0.25 and b = 100, we go from y = mx+b to y = 0.25x+100

This then translates over to M = 0.25n + 100 which is choice A

To help verify this, let's say we plugged in n = 100

M = 0.25*n + 100

M = 0.25*100 + 100

M = 25 + 100

M = 125

Which is confirmed by what the graph shows. I'll let you check the other points as well.

7 0
3 years ago
How many solutions exist for the given equation?
sladkih [1.3K]

Answer:

Infinitely many

Step-by-step explanation:

12x + 1 = 3(4x + 1) - 2

12x + 1 = 12x + 3 - 2

12x + 1 = 12x + 1

Both sides are equal for all x, so infinite solutions

8 0
3 years ago
Read 2 more answers
I need some help on this triangle similarity proof in Geometry!
AlladinOne [14]
I believe that this is correct if anything is unclear/blurry just ask and i will tell u what i wrote

8 0
3 years ago
Other questions:
  • 8ths on division pls help me I really need it
    6·2 answers
  • The sum of 8 and Craig’s savings is 42
    11·2 answers
  • I need help on question 1 of symbolic representation
    5·2 answers
  • Juan and Rob Are selling cookie dough for a school fundraiser Juan Has t Cookie dough Orders Rob has 40 cookie dough orders they
    6·1 answer
  • F(x) = -3x + 3, then<br> f-1(x) =
    6·1 answer
  • Charlene and Gary want to make a perfume<br> 2.39 2.58 2.17
    5·1 answer
  • Find the distance d between 21 = (-7 - 6i) and Z2 = (-15 – 12i). Express your answer in exact terms and simplify, if needed.​
    8·1 answer
  • PLEASE HELP ME ANSWER BESTIES !!!
    8·2 answers
  • 2. (MCC 6.5) Find the value of x. 77° (6x17)°​
    5·1 answer
  • How do you translate a polygon on a graph?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!