Triangle E F G is shown. Which statements regarding Triangle E F G are true? Select three options. E F + F G greater-than E G E G + F G greater-than E F E G minus F G less-than E F E F minus F G greater-than E G E G + E F less-than F G
Answers
The properties of triangle side lengths follow the Triangle Inequality Theorem, which states that the sum of any two sides of a triangle must be greater than the third side, leading to three correct inequalities for Triangle EFG.
Explanation:The question presented is related to the properties of triangle sides, specifically in relation to the inequality theorems that apply to triangles.
By understanding these properties, we can determine which statements about the lengths of the sides in triangle EFG are true.
The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
This theorem gives rise to three inequalities that must hold true for any triangle:
EF + FG > EGEG + FG > EFEG + EF > FGTo assess which statements about Triangle EFG are true, we can compare them against the principles derived from the Triangle Inequality Theorem.
The following are the correct statements based on this theorem:
EF + FG > EGEG + FG > EFEG - FG < EFAny statement that contradicts these principles is false.
Therefore, the three true statements regarding Triangle EFG are that EF + FG is greater than EG, EG + FG is greater than EF, and EG - FG is less than EF.
The three true statements regarding Triangle EFG are:
- EF + FG > EG
- EG + FG > EF
- EG + EF < FG
Let's go through each option one by one:
1. E F + F G greater-than E G: To determine if this statement is true, we need to compare the lengths of EF and EG combined with FG. Let's say EF is 5 units long, FG is 3 units long, and EG is 7 units long. In this case, 5 + 3 is equal to 8, which is greater than 7. Therefore, this statement is true.
2. E G + F G greater-than E F: Similarly, to determine if this statement is true, we need to compare the lengths of EG and FG combined with EF. Using the same lengths as before, 7 + 3 is equal to 10, which is greater than 5. Therefore, this statement is true as well.
3. E G minus F G less-than E F: For this statement, we need to subtract the length of FG from EG and compare it to EF. Using the same lengths as before, 7 - 3 is equal to 4, which is less than 5. Therefore, this statement is false.
4. E F minus F G greater-than E G: Here, we need to subtract the length of FG from EF and compare it to EG. Using the same lengths as before, 5 - 3 is equal to 2, which is less than 7. Therefore, this statement is false.
5. E G + E F less-than F G: To check this statement, we need to compare the lengths of EG and EF combined with FG. Using the same lengths as before, 7 + 5 is equal to 12, which is greater than 3. Therefore, this statement is true.
Complete question :-
Related Questions
Are the sets equivalent? A= {Larry,Moe,Curly,Shemp}. B= {Posh, Sporty,Baby,Scary}
Answers
Answer:
yes
Step-by-step explanation:
equivalent sets have the same number of members
Sets A and B are not equivalent, have the same cardinality but no common elements in their intersection.
The sets A and B are not equivalent because they have different members.
The cardinality of set A is 4, and the cardinality of set B is also 4, meaning they have the same number of elements.
The intersection of sets A and B is the empty set, as they have no common elements.
V-10=-9 it’s for math
Answers
Answer:
v = 1
Step-by-step explanation:
V - 10 = -9
V = -9 + 10
v = 1
what is slope of this pic I ONLY HAVE 3 MINS PLSHELP
A.2
B.5
C 1/2
D.5/3
Answers
Answer:
D. 5/3
Step-by-step explanation:
Which doesnt belong, and why? 9, 16, 25, 43
Answers
Answer:
43
Step-by-step explanation:
The first three numbers are perfect squares:
9 = 3²
16 = 4²
25 = 5²
43 is not a perfect square.
43 does not belong because it cannot ve expressed as perfect square
Perfect numbers are squares of any integer
Given the sequence of numbers 9, 16, 25, 43
From the sequence we can see that the first 3 numbers are perfect squared written as 3², 4², 5², 43
We can see that 43 cannot be expressed as perfect square making it the odd one out of the numbers
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find the product: -3*(-12)
Answers
Hope that helps
Which point is NOT part of the solution of the inequality y < |3x| + 1?
Answers
Answer:
(3,15)
Step-by-step explanation:
y < /3x/ + 1
15 < /3*3/ + 1
15 < /9/ + 1
15 < 9 + 1
15 < 10
15 is not less than 10.
Helpppppoooodhdbdkdbiss
Answers
Answer:38
Step-by-step explanation: so if I am correct the picture says 8 divided by 304 so 8 enters 3 times in 30 so thats 3 and then 64 so it enters 8 times in there so answer is 38
Find the unit rate. Round to the nearest hundredth, if necessary.
$210 for 16 ft?
The unit rate is $
Answers
Answer:13.125
Step-by-step explanation: divide 210 by 16
Please answer ASAP!
-3y ≤ -18
y =
Answers
Or y>_ 6
Hope this helps!
Answer:
y ≥ 6.
Step-by-step explanation:
-3y ≤ -18
We divide both sides by -3. Also because we are dividing by a negative value the inequality sign is flipped.
-3y / - 3 ≥ -18 / -3
y ≥ 6.
Is 1.1875 rational or irrational
Answers
Answer: rational
Step-by-step explanation: irrationals never stop
Use the commutative property of addition to write an equivalent algebraic expression
Answers
Answer:
9(x+5)=9(5+x)
Step-by-step explanation:
This is tricky because you were probably thrown off by the multiplication step from the parentheses. Since the question wants you to demonstrate your knowledge of the commutative property of addition, you will only worry about inside the parentheses.
So, the commutative property is basically just moving numbers/variables around the addition sign to show that the answer will remain the same either way.
Because of this, we can simply move the (x+5) around to (5+x).
Final answer: 9(x+5)=9(5+x)
The circumference (C) of the base of a grain silo is 160 feet. To the nearest tenth, what is the radius (r) of the silo? (C = 2πr)
A) 18.5 feet
B) 25.5 feet
C) 50.9 feet
D) 64.8 feet
Answers
Answer: B) 25 feet
Step-by-step explanation:
The formula to find the circumference of a circle is given by :-
[tex]C=2\pi r[/tex], where r is the radius of the circle. (1)
Given : The circumference (C) of the base of a grain silo is 160 feet.
Then,by using (1), we have
[tex]160=2(3.14)(r)\\\\\Rightarrow\ r=\dfrac{160}{2\times3.14}\\\\\Rightarrow\ r=25.4777070064approx25.5\text{ feet }[/tex]
Hence, the radius (r) of the silo= 25 feet
In a:b=c:d,then what are b and c called?
Answers
Answer:
To find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means
Step-by-step explanation:
Answer:
the answer is the Means
Step-by-step explanation:
The length of a rectangle is 2cm longer than the width. The perimeter is 52cm. What is the length and width of the rectangle?
Answers
Answer:
Width = 12 cm
Length = 14 cm
Step-by-step explanation:
Rectangle:
Let the width = x cm
So, the length = (x+2) cm
Perimeter = 52 cm
2 *(l+b) = 52
2 *(x+2 + x) = 52
2 * ( 2x + 2) = 52
2x + 2 = 52/ 2
2x + 2 = 26
2x = 26- 2
2x = 24
x = 24/2
x = 12
Width = 12 cm
Length = 14 cm
How do you do question 9? If you answer please explain.
Answers
Answer:
bottom left is -2x and bottom right is -3
Step-by-step explanation:
if you were to use a timeline you subtract 5 from 3 and that leaves you -2 and add the x from before and for the bottom right 2 - 5 is negative three if you need help its easy to make a timeline
Which of the following expressions are equivalent to 3/11
Answers
Answer:
-3/-11
Step-by-step explanation:
2 negitives make a positive and plus i got it right
The Equivalent Expressions fractions to 3/11 from the options provided are 9/33 and 15/55, as they can be obtained by multiplying the numerator and denominator of 3/11 by the same number.
To find equivalent fractions to 3/11, you would need to multiply or divide both the numerator and denominator by the same number. We need to identify options that result from such actions on 3/11.
Option A: 6/21: No multiplicative or dividing relation can be found between 3 and 6 or 11 and 21, so this option is invalid.
Option B: 9/33: This is obtained by multiplying both numerator and denominator of 3/11 by 3. So, this option is valid.
Option C: 15/55: This is obtained by multiplying both numerator and denominator of 3/11 by 5. So, this option is valid.
Option D and E: There is no such multiplier or divider that can obtain these fractions from 3/11, so both are invalid.
Thus, the equivalent expressions to 3/11 from the options provided are options B (9/33) and C (15/55).
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The probable question may be:
Find the equivalent expressions to 3/11 from the options below:
Options:
A) 6/21
B) 9/33
C) 15/55
D) 12/45
E) 21/71
In a company of 400 people, 280 use their work email addresses for their correspondence and 200
use their private email addresses. Another 40 company employees do not use email at all
a) how many employees use their work email and their private email for their correspondence?
b) how many employees are in violation of company policy to use only their company email for their correspondence
Answers
Answer:
a=200
b=80
I think this would be the answer
if not im sorry.
Using the principle of inclusion-exclusion, we determine that 80 employees use both work and private emails for correspondence. There are 120 employees in violation of company policy to use only their company email for business correspondence.
To solve the question, we can use the principle of inclusion-exclusion. First, we need to find the total number of people who use at least one type of email (work or private). Then we subtract the total number of people who use both to find those who are in violation of company policy.
Part (a)
Let A be the number of employees using work email, B be the number using private email, and C be the number not using email at all.
We know that A = 280, B = 200, and C = 40. We also have a total T = 400 employees.
Employees using both work and private email, represented as AB, can be found by: T - (A + B + C).
AB = 400 - (280 + 200 + 40)
AB = 400 - 520
AB = -120
However, since we cannot have negative users, this means that AB must be equal to 280 + 200 - 400 = 80. Therefore, 80 employees use both their work and private email for correspondence.
Part (b)
To find out how many are in violation of the policy, we just consider the number using private emails, minus those who use both emails (because they also use company email).
Violation = B - AB
Violation = 200 - 80
Violation = 120
Thus, there are 120 employees in violation of company policy regarding email use.
Perfume is sold in two different sizes of bottle. The 80ml bottle is priced at £55. The 50ml bottle is usually priced at £45, but is on special offer. If you buy one 50ml bottle of perfume you can get a second for half price.
By calculating the price per ml determine which offers the best value for money the 80ml or two 50ml bottles ? You must show your working .
Answers
Answer:
Step-by-step explanation:
Price per ml of 80ml bottle= 0.68
price per ml of 50 ml bottle= 0.9
therefore two 50ml bottles is a better deal.
Mrs. Aries hired Jack, a math tutor, to help her son. She is on a budget and can pay him no more than $420 a month. If Jack charges $35 an hour, what is the maximum number of hours he can tutor each month?
Answers
Final answer:
The maximum number of hours a tutor can work at $35 an hour within a $420 budget is 12 hours per month.
Explanation:
The student asked how many hours a math tutor could work each month within a budget of $420 if the tutor charges $35 an hour. To calculate the maximum number of tutoring hours, divide the total budget by the hourly rate. This can be expressed as Maximum Hours = Total Budget / Hourly Rate.
In this case, the calculation would be:
Maximum Hours = $420 / $35 per hour
So, the math tutor can work a maximum of 12 hours per month on this budget since:
$420 / $35 per hour = 12 hours
What is the name of the atom shown?
A beryllium
B boron
C fluorine
D helium
Answers
Answer: A beryllium
Step-by-step explanation:
On the given picture, we have a structure of atom, that has 4 electrons in total in its orbit.
We know that the atomic number= number of protons in it.
⇒ Atomic number of given atom = 4
Since According to the Modern periodic table, The element with atomic number 4 is beryllium.
Hence, the name of the atom shown= beryllium
is 125 a perfect square? answer choices in picture
Answers
Answer:
No, because there is no whole number that when multiplied by itself gives 125
Step-by-step explanation:
The square root of 125 is 11.1803.
Some additional info:
[tex]\sqrt{125}=\sqrt{25 * 5} =5\sqrt{5}[/tex]
Hence, it is not a perfect square
No, because there is no whole number that when multiplied by itself gives 125.
Is 125 a perfect square?To determine if 125 is a perfect square, we need to find a whole number that, when multiplied by itself gives 125.
We will try some numbers:
1 * 1 = 12 * 2 = 43 * 3 = 94 * 4 = 165 * 5 = 256 * 6 = 367 * 7 = 498 * 8 = 649 * 9 = 8110 * 10 = 10011 * 11 = 12112 * 12 = 144Since there is no whole number that, when multiplied by itself, equals 125, we will conclude that 125 is not a perfect square.
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Evaluate M/q + np2 for m = 24, n = 6, p = 9, and q = 8.
Answers
Answer:
489
Step-by-step explanation:
Stan's, Marks and Wayne's ages are consecutive whole numbers. Stan is the youngest, and Wayne is the oldest. The sum of their ages is 102. Find their ages
Answers
Answer: Wayne is 35, Mark is 34, and Stan is 33.
33+34+35 = 102
Stan is 33 years old, Mark is 34 years old, and Wayne is 35 years old.
Explanation:Let's solve the problem step by step:
Let's assume Stan's age to be x.
According to the given information, Mark's age is one more than Stan's age, so Mark's age is x + 1.
Similarly, Wayne's age is one more than Mark's age, so Wayne's age is (x + 1) + 1 = x + 2.
Now we know that the sum of their ages is 102, so:
x + (x + 1) + (x + 2) = 102
Combining like terms, we get:
3x + 3 = 102
Simplifying the equation, we get:
3x = 99
Dividing both sides by 3, we get:
x = 33
Now we can substitute the value of x in the previous equations:
Stan's age = 33
Mark's age = 33 + 1 = 34
Wayne's age = 34 + 1 = 35
So, Stan is 33 years old, Mark is 34 years old, and Wayne is 35 years old.
What is the definition of monomial
Answers
A monomial is an expression that has ONE term.
Examples:
[tex]x^2[/tex]
[tex]1[/tex]
[tex]100000[/tex]
[tex]abc[/tex]
[tex]32^3[/tex]
[tex]xy^2[/tex]
[tex]3x^2y^4[/tex]
why the sum of
a rational number and an irrational number is
always irrational.
Answers
Answer:
Because the irrational number (pi for example) plus a rational number ( [tex]\sqrt{4}[/tex] the square root of four is two) would be an irrational number (5.1415926535...)
(I CAN EXPLAIN FURTHER)
Write the equation of the line through (3, −1) and parallel to 2x−y=6.
Answers
Answer:
2x - y = 7
Step-by-step explanation:
Parallel lines have the same slope and the equation will have the same form
That is
2x - y = c ← c will have different values depending on the point it passes through.
Here the line passes through (3, - 1 ) , thus substituting into the left side
2(3) - (- 1) = 6 + 1 = 7 ← value of c, hence
2x - y = 7 ← equation of line
The line's equation is y = 2x - 7.
What are parallel lines?In geometry, the coplanar straight lines that do not intersect at any point are called parallel lines. The slopes of parallel lines are equal because they are equally inclined with the positive x-axis.
How to solve this problem?The equation of the given line is
2x-y = 6
i.e. y = 2x-6
We know that If the equation of a line can be expressed as y = mx+c, then the slope of this line is m.
So, the slope of this given line is 2.
We can assume that the equation of the line which is parallel to the given line can be written as
y = 2x + c ...(1)
, where c is a constant.
Since this line passes through the point (3, -1), you have to put x = 3 and y = -1 in (1), to get the value of the constant.
Now, c = y - 2x = (-1) - 2*3 = (-1) - 6 = -7
Putting this value in (1), we get
y = 2x - 7
Therefore the required equation of the line is y = 2x - 7.
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Solve this equation or formula for the variable indicated.
Solve for t: 7t = x
Answers
Greetings!
In this literal equation, the only thing we will have to do is get t by itself. In order to do that we will perform the opposite relation it has with 7, which is division, on both sides.
The answer will be x divided by 7 equals t, x / 7 = t.
Hope this helps!
Find the measure of G
Answers
This is how you set the equation: (6x-6)+(7x+1)+51=180
Combine like terms: 13x+50=180
Subtract 50 from both sides: 13x=130
Divide 13 from both sides and you get x=10
Plug in x into
7(10)+1=71
The perimeter of a square
is 80 inches. Find the length
of each side.
Answers
Answer:
20
Step-by-step explanation:
The length and with of a square are the same. We know a square has 4 sides so we get 80 ÷ 4
The answer is 20.
Rate as brainliest
Answer:
Step-by-step explanation:
20
how do you show your work for 70×114
Answers
Answer: Write it out and solve!
Step-by-step explanation: See the attached photo
If you have ANY questions PLEASE ask!
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