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
erastovalidia [21]
3 years ago
8

Prove that in any triangle the length of a side is less than the half of the perimeter in statement reason format.

Mathematics
1 answer:
horrorfan [7]3 years ago
3 0

Answer:

Proved

Step-by-step explanation:

I am going to pose c as the largest side in a random triangle

If so then remember that, by the triangle inequality, a + b > c. Let's start from there...

Statement:                         |                                  Reasoning:

1. a + b > c                                                             1. Triangle Inequality

2. a + b + c > c + c (adding c on both sides),      2. Algebra + Def. Of Perimeter

   a + b + c > 2c (simplified)

   Perimeter > 2c (definition of perimeter)

   c < 1/2 * Perimeter

You might be interested in
A car traveled at a constant speed for 4 hours and covered 144.6 miles. It used 12 gallons of gas to travel this distance. How f
ki77a [65]
The car went 12.05 miles per gallon of gas and went 36.15 miles per hour.

(Just divide the total amount of miles by each value to get both of these answers.)


4 0
3 years ago
I need help with my Clock
anyanavicka [17]
5 -> 15

6 -> 20

7 -> 25

8 -> 30

9 -> 35

10 -> 40

then in ones:

after 41 would be 42 and 43


the elapsed time would be 43 minutes :)

hope this helps :)




8 0
3 years ago
Find the value of each variable in the parallelogram
melomori [17]

Alright.

For 7, you'll want to put congruent sides equal to each other, assuming they are parallelograms. So, you'll get the two equations:

3x+2=23

2y-7=9

Solve using GEMDAS/PEMDAS, and you'll get these answers.

3x+2=23

3x=21

x=7

2y-7=9

2y=2

y=1

For 8, you'll want to do the exact same thing, formatting the numbers to equal each other. You'll get these two equations:

3y+5=14

2x-5=17

Solving them would make:

3y+5=14

3y=9

y=3

2x-5=17

2x=22

x=11

For 9, you have to remember that the angle opposite of one angle in a defined parallelogram are congruent. Thus:

130=2h

5k=50

solve them and you get

h=65

k=10

___________________________________________

Hope that helped. Good luck.

5 0
3 years ago
Read 2 more answers
What is 245 divided by 2?
olga nikolaevna [1]

Answer:

122.5

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Write an expression for the calculation subtract 10 divided into fifths from 20 divided in half
crimeas [40]
20/2-10/5. You divide 20 by 2 and subtract that from 10 divided by 5
4 0
3 years ago
Other questions:
  • What is chlorination?​
    5·2 answers
  • enrollment in the pta increased by 35% this year. last year there were 160 members in the pta. how many pta members are invoied
    11·1 answer
  • Consider the graph of the quadratic function y = 3x2 – 3x – 6.
    13·1 answer
  • Haley bought 1.6 pounds of almonds for $13.20. How much did she pay per pound?
    9·1 answer
  • A sector of a circle has a central angle of 60°. find the area of the sector if the radius of the circle is 6 mi.
    12·1 answer
  • Okay I am trying to help my son. Can someone please help me and explain adding mixed numbers 4 3/10+6 9/10
    7·2 answers
  • What is the measure of EH!?!????? RUNNING OUT OF TIME
    12·1 answer
  • Please help a girl out
    5·2 answers
  • F(x)=x^2+11x+20, find x when f(x)=−8
    13·2 answers
  • If Meg walks 1/3 a mile in 1/9 of an hour, how many miles will she walk in one hour?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!