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
Pavel [41]
2 years ago
10

A triangle has two sides with lengths 31 centimeters and 39 centimeters. Which best describes the length of the third side? A. l

ess than 8 cm B. greater than 70 cm C. less than 8 cm or greater than 70 cm D. greater than 8 cm and less than 70 cm
Mathematics
1 answer:
PilotLPTM [1.2K]2 years ago
8 0

Answer:

D. greater than 8 cm and less than 70 cm

Step-by-step explanation:

Given:

Length of one side = 39 cm

Length of other side = 31 cm

We need to find the length of third side.

Solution:

to find the length of third side we will use triangle Inequality property which states that;

"The length of the third side should be less than sum of the other two side."

Also;

"The length of the third side should be greater than difference of the other two sides."

Now Sum of 2 sides of triangle = 39 + 31 =70 cm

Also Difference of 2 side of triangle = 39 -31 = 8 cm

Hence The length of the third side should be greater than 8 cm and less than 70 cm.

You might be interested in
draw an example of a shape that has at least one right angle one angle less than a right angle and one angle greater than a righ
MaRussiya [10]
That is not possible to make a triangle with a right angle and a acute angle because a acute triangle only has acute angles and a right triangle has a obtuse angle in it
3 0
3 years ago
What is 2x84 I don’t know the answer to it
lara [203]

Answer:

168

Step-by-step explanation:

2x80 is 160 plus 2x4 is 8 160+8 is 168

8 0
2 years ago
Read 2 more answers
If 3x-2+5x=2,find the value of 3x
BlackZzzverrR [31]
Dont cheat do it your self
5 0
3 years ago
For which function is f(x) equal to f^1(x) ( answer choices in picture )
Sonja [21]

Answer:

C. f(x)=\frac{x+1}{x-1}

Step-by-step explanation:

Let's find the inverse of each of the given options.

Option A:

f(x)=\frac{x+6}{x-6}\\y=\frac{x+6}{x-6}

To find f^{-1}(x), replace 'x' with 'y' and 'y' with 'x'. This gives,

x=\frac{y+6}{y-6}

Rewrite in terms of 'y'. This gives,

x(y-6)=y+6\\xy-6x=y+6\\xy-y=6x+6\\y=\frac{6x+6}{x-1}

The given function y=\frac{6x+6}{x-1}\ne y=\frac{x+6}{x-6}

So, option A is incorrect.

Option B:

f(x)=\frac{x+2}{x-2}\\y=\frac{x+2}{x-2}

To find f^{-1}(x), replace 'x' with 'y' and 'y' with 'x'. This gives,

x=\frac{y+2}{y-2}

Rewrite in terms of 'y'. This gives,

x(y-2)=y+2\\xy-2x=y+2\\xy-y=2x+2\\y=\frac{2x+2}{x-1}

The given function y=\frac{2x+2}{x-1}\ne y=\frac{x+2}{x-2}

So, option B is incorrect.

Option C:

f(x)=\frac{x+1}{x-1}\\y=\frac{x+1}{x-1}

To find f^{-1}(x), replace 'x' with 'y' and 'y' with 'x'. This gives,

x=\frac{y+1}{y-1}

Rewrite in terms of 'y'. This gives,

x(y-1)=y+1\\xy-x=y+1\\xy-y=x+1\\y=\frac{x+1}{x-1}

The given function y=\frac{x+1}{x-1}\ equals\ y=\frac{x+1}{x-1}

So, option C is correct.

Option D:

f(x)=\frac{x+5}{x-5}\\y=\frac{x+5}{x-5}

To find f^{-1}(x), replace 'x' with 'y' and 'y' with 'x'. This gives,

x=\frac{y+5}{y-5}

Rewrite in terms of 'y'. This gives,

x(y-5)=y+5\\xy-5x=y+5\\xy-y=5x+5\\y=\frac{5x+5}{x-1}

The given function y=\frac{5x+5}{x-1}\ne y=\frac{x+6}{x-6}

So, option D is incorrect.

Therefore, only option C is correct.

7 0
3 years ago
HELP WILL GIVE BRAINLIEST
SVEN [57.7K]

Answer:

5/8 = 20/32

Step-by-step explanation:

if you multiply the denominator and the numerator of 5/8 by 4 it will equal 20/32

4 0
2 years ago
Read 2 more answers
Other questions:
  • One teacher wants to give each student 1/5 of slice of pizza. if the teacher has 9 slices of pizza then how many student will sh
    12·1 answer
  • Who was the Hellenistic (Greek) mathematician who invented the compound pulley and is known for his work with the laws governing
    5·1 answer
  • 28/7 in decimal form?
    9·2 answers
  • in a right triangle the acute angles measure x+15 and 2x degrees what is the measure of the larger acute angle of the triangle
    11·2 answers
  • 7​y​ + 5 = 3​y​ – 31
    9·2 answers
  • A horse runs for 0.25 h and travels 9 mi. The horse’s distance varies directly with the amount of time it runs.
    14·2 answers
  • A pair of pants costs twice as much as a shirt. The total cost of 1 pair of pants and 1 shirt is $18. If s represents the cost o
    6·2 answers
  • HELP!! The aquarium has 6 fewer yellow fish than green fish. 40 percent of the fish are yellow. How many green fish are in the a
    5·2 answers
  • 2(a -3) + 4b - 2(a -b -3) + 5<br> simplify
    11·2 answers
  • Rebekah bought g gallons of paint for $12.85 per gallon and b brushes for $4.79 each. Which expression can be used to determine
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!