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
The prove of statement ''in any triangle the length of a side is less than the half of the perimeter'' is shown.
What is Perimeter?
The sum of all sides of a quadrilateral is called a perimeter.
Given that;
The statement is,
''In any triangle the length of a side is less than the half of the perimeter''.
Now,
Let sides of triangles are a, b and c.
The triangle inequality is;
a + b > c
Add both side by c;
a + b + c > c + c
a + b + c > 2c .... (i)
Since, Perimeter of a triangle with sides a, b and c is;
Perimeter (P) = a + b + c
Substitute value of perimeter in equation (i), we get;
a + b + c > 2c
P > 2c
c < P/2
Thus, In any triangle the length of a side is less than the half of the perimeter.
Learn more about the perimeter visit:
https://brainly.com/question/22447290
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What is the answer to
-4 ( 5x + 3)
Answer:
-20x - 12
Step-by-step explanation:
times -4 by everything inside the bracket
-4 times 5x = -20x
-4 times +3 = -12
-4(5x+3) = -20x - 12
(a positive times a negative is a negative)
hope this helps.
brainliest please?
x
Answer:
-20x - 12
Step-by-step explanation:
Distribute the '-4' into the terms in the parentheses.
[tex]-4(5x+3)\\\\-20x-12\\\\\left \{ {{-4*5x=-20x} \atop {-4*3=-12}} \right.[/tex]
Hope this helps.
How many inch thick books can fit on a 14 1/2 inch-long bookshelf?
Answer:
14.
Step-by-step explanation:
14 1/2 / 1 = 14 1/2
answer 14.
Answer:
14 books
Step-by-step explanation:
At most 14 because it is 14 1/2 inches long
Can you guys help me find the values of z and y?
Answer:
y=33 z=69
Step-by-step explanation:
4. Sophie can type 128 words in 3 minutes.
How many minutes will it take her to type 576
words?
Answer:
13.5 minutes
Step-by-step explanation:
128 = 3 minutes
128/3 = 1 minute worth of words
42.6 = 1 minute
576/42.6 = 13.5
Answer:
13.5min or 13min 30sec
Step-by-step explanation:
Can someone please help me?? Ill give brainliest 20 points
Find an equation that can be solved in different ways.
Complete a two-column algebraic proof solving your equation.
Post your equation and two-column proof to the discussion board.
Answer:
This is an example of a two-column algebraic proof using 4x + 9 = 16 - 3x
Step-by-step explanation:
1. The quotient of twice a number and 7 is 20.
Simplify −9 + 1/4x − 6 − 1/8x.
Answer:
- 72x-1 /8x
Step-by-step explanation:
Answer: -15+1/8x
Step-by-step explanation:
-9+1/4x-6-1/8x
You must add the 9 and 6 because they are both negative numbers and you get -15. You would multiply 1/4 by two in order to subtract 1/4 from 1/8. You would have 2/8-1/8 which would get you 1/8.
a. 19.6
b. 25.8
c. 18.1
d. 20.4
Answer: I think the answer is B
Step-by-step explanation:
Help me please with those 4 questions
Answer:
it small an blurry
Step-by-step explanation:
How many bags of marbles, each 2/5 of a kg each can be made from a sack of marbles which weighs 280kg?
Can anybody answer me please I will mark you as brilliance
Answer:
112 bags o marbles
Step-by-step explanation:
280kg/2.5= 112 bags
The population of a certain town was 50,000.In a year,male population
was increased by 5% and female population was increased by 3%. Now
the population beame 52020. Then what was the number of males and
females in the previous year?
olution:- Let the number of males in previous year be x,number of females
Answer: Male population = 26,000
Female population = 24,000
Step-by-step explanation: Male population = X
Female population = Y
x+y=50,000
y=50,000-x-(1st equation)
Again (x+x X 5%) + (y+y X 3%) = 52,020
-> x+5x/100 + y+3y/100 = 52020
-> 100x+5x+100y+3y =52020
________________
100
-> 105x+103y = 52020-( 2nd Equation)
Putting Eq 1 into 2 ,
105x+103 ( 50,000-x)= 52,020
-> 105x + 5,150,000-103x = 52,020
->2x = 52,020-5,150,000
->2x = 52,000
x = 26,000 (Male population)
y = 50,000-26,000
= 24,000 (Female population)
what are decimal that repeat the same pattern
A decimal number with a digit or group of digits that repeats forever is called a repeating decimal.
Given A and B are vertical angles with m∠A = 20x + 10 and m∠B = 30x – 10. What is x? 3.6 4 2 9
i will give brainliest
Answer:
Step-by-step explanation:
∠A and ∠B are vertical => ∠A=∠B
20x+10=30x-10
20x-30x= -10-10
-10x= -20
x= -20 / -10 = 20 / 10 = 2
x=2
Good luck!
Answer:
2
Step-by-step explanation:
Ok remember this because its going to appear alot in geometry. Vertical angles are ALWAYS congruent and congruent means when two things are equal/ are the same.
If angle a and b are vertical angles what does that mean?
they are CONGRUENT!
you know A = 20x+ 10 and B= 30x-10
so you can write it as
20x+10 = 30x-10
because Angle A and B equal each other
then get the variable by itself so subtract -20x on both sides
10 = 10x-10
then add 10 to both sides which is
20 = 10x
and divide 10 on both side and 20 divided by 10 is 2
so 2 =x
which is the same as x =2
Math escape room maze ( I need help) I know it goes A,E,I but I don’t know what goes next)
Answer:
9
Step-by-step explanation:
Use angle summation:
∠HGE + ∠EGF = ∠HGF
3x + 11 + 110 = 16x + 4
117 = 13x
x = 9
Answer:
IK = 30
Step-by-step explanation:
31-12=19
49-19-12=18
12+18=30
Suppose that the number of bacteria in a certain population increases according to an exponential growth model, with a growth rate of 19% per hour. Suppose also that a sample culture of 2300 bacteria is obtained from this population. Find the size of the sample after five hours. Round your answer to the nearest integer.
Answer: 5489
Step-by-step explanation:
Given the following :
Growth rate (r) = 19% per hour
Sample culture in population = 2300
Size of sample after 5 hours =?
Using the exponential relation:
P = Po * r^t
P = population after 5 hours
Po = Initial sample population
t = time
P = 2300 * (1 +19%)^t
P = 2300 ×(1 + 0.19) ^5
P = 2300 * 1.19^5
P = 2300 * 2.3863536599
P = 5488.61341777
P = 5489 (nearest integer)
The GCF of the numerator and denominator in 15/24 is _____.
8
3
2
5
Answer:
3
Step-by-step explanation: 8 can go into 24 perfectly but not 15 and 5 can go into 15 perfectly but not 24 but 24/3 is 8 and 15/3 is 5
You might say two could do the same thing which is true but we are talking about the GCF, they are asking for the greatest common factor so that's why the answer is 3
Answer:
3
basically, 8 can go into 24 exactly but 15 and 5 can not go into 15 perfectly neither can 24. 24/3 is 8 and 15/3 is 5
You might say two could do the same thing which is true but we are talking about the GCF, they are asking for the greatest common factor so that's why the answer is 3 :D
What is the difference of the fractions? Use the number line to help find the answer. One-half minus 1 and one-fifth A number line going from negative 2 to positive 2 in increments of StartFraction 1 over 10 EndFraction Negative 1 and StartFraction 7 over 10 EndFraction Negative StartFraction 7 over 10 EndFraction StartFraction 7 over 10 EndFraction 1 and StartFraction 7 over 10 EndFraction
Answer:
Negative StartFraction 7 over 10 EndFractionStep-by-step explanation:
Given the expression [tex]\frac{1}{2} - 1\frac{1}{5}[/tex], we are to find the difference
First convert the mixed fraction [tex]1\frac{1}{5}[/tex] to improper fraction
[tex]1\frac{1}{5}[/tex] = [tex]\frac{6}{5}[/tex]
The expression becomes;
[tex]\frac{1}{2} - \frac{6}{5}[/tex]
Find LCM
[tex]\frac{5-6}{10}[/tex]
Evaluate the resulting expression
[tex]\frac{5-12}{10}\\\\\frac{-7}{10}[/tex]
Hence the correct option is C i.e Negative StartFraction 7 over 10 EndFraction
Answer:
the answer is B
Step-by-step explanation:
provide the domain and range for the following relation
20 points !!!
21
Which inequality represents the following statement?
"A number increased by 4 is at most 15."
Answer:
x + 4 ⩽ 15
Step-by-step explanation:
Let
The number = x
At least in inequality is ⩾ (greater than or equal to sign)
At most in inequality is ⩽ ( less than or equal to sign)
A number increased by 4 is at most 15.
x + 4 ⩽ 15
The inequality that represent the statement is x + 4 ⩽ 15
x + 4 ⩽ 15
x ⩽ 15 - 4
x ⩽ 11
A baseball team is having an end of the year party and the coach wants to purchase gloves and baseballs for the team. Gloves are sold in cases of 8 and baseballs are sold in cases of 12. The coach wants to buy the exact same number of gloves as baseballs.What is the least number of gloves and baseballs he would have to purchase to have the same number of each?
Answer: 24 is the least number of gloves and baseball need to purchase .
Step-by-step explanation:
Given: Gloves are sold in cases of 8 and baseballs are sold in cases of 12.
To get the exact same number of gloves as baseballs, the least number of gloves and baseball need to purchase = L.C. M. (8,12)
[L.C.M.= Least common multiple]
Since 8 = 2 x 2 x2
12 = 2 x 2 x 3
So, L.C. M. (8,12) = 2 x 2 x 2x 3 = 24
Hence, the least number of gloves and baseball need to purchase = 24
help cant get this one trough my thick skull
Andrew bought 16 pears. He ate 4 pears. What percentage of the pears did Andrew eat? (1 point)
25%
32%
40%
64%
Answer:
25%
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
4/16×100℅
1/4×100℅
25
Draw the graph of y=-2x for x values from -3 to 3
Answer:
(x,y) -> (-3,6)
(x,y) -> (-2,4)
(x,y) -> (-1,2)
(x,y) -> (0,0)
(x,y) -> (1,-2)
(x,y) -> (2,-4)
(x,y) -> (3,-6)
Step-by-step explanation:
Substitute each value in the range of x into your equation to get the corresponding y-coordinate.
After Batman brought the Joker to justice, the crime rate in Arkham City decreased by 12\%12%12, percent. Previously, the crime rate was ccc incidents per 100010001000 people.
pls help me
Answer:
120
Step-by-step explanation:
please help me with this question!
// i didn’t mean to select d
Answer:
B
Step-by-step explanation:
on visits they is not any kind of pattern it is oppisite or negative with no Relationship and the books are not either
what expression is equivalent to -3x^2 - 24x - 36
Answer
-3(x+2)(x+6)=0
Step-by-step explanation:
[tex]-3x^{2} -24x-36=0\\\Leftrightarrow -3(x^{2}+8x+12)=0\\\Rightarrow -3(x+2)(x+6)=0[/tex]
Solve b + 3∕8 = 4∕9 for b.
Question options:
A)
5∕72
B)
59∕72
C)
1∕6
D)
32∕27
Answer:
5/72
Step-by-step explanation:
Sonya’s average so far is 84 for 3 math tests. What must she get on the fourth test to have an average of 88
Answer:
she will need to get a 100 on the fourth test
Step-by-step explanation:
(252+x)/4 = 88
252+x = 352
x = 100
Find the vector of the points p which divide Ac in the ratio 1:4
Answer:
Where is the points p and ration?
Step-by-step explanation:
how many partial products are in area model A
Answer:
where is model A
Step-by-step explanation: