If m<2 = 110°, and the m<6 = 110°, What can you conclude about line r and line s?
Be sure to include what theorem allows you to made your conclusion.
Answers
Lines r and s are parallel based on the given measure of angles 2 and 6.
Explanation:Based on the given information, if the measure of angle 2 is 110° and the measure of angle 6 is also 110°, then it can be concluded that lines r and s are parallel. This conclusion is based on the Alternate Interior Angles Theorem, which states that if a transversal intersects two parallel lines, then the alternate interior angles are congruent.
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Related Questions
Your credit limit is $2,500 what is the max you should ever owe on this card?
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Answer: $2,000
To calculate the max amount you should owe, multiply the credit limit by 80%. $2,500 * 80% = 2,000
What is the equivalent decimal to 1/2?
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1 ÷ 2 = 0.5
As a result, the decimal equivalent of [tex] \frac{1}{2} [/tex] is 0.5.
Using the distributive property, which expression is equal to 7(9 - 5)? 7*9 - 7*5 7*9 + 7*5 7(5 - 9) 7+5 - 7+9
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Answer:
7(9 - 5)
Step-by-step explanation:
63 - 35 = 28
HELP ME PLEASE!!!!
Construct the perpendicular bisector of each side of the given triangle. What do you observe about these bisectors?
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I don't know how to solve this problem
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Answer:
was this question posted 4 years ago
Sara recorded the height of the ocean at low tide, with respect to sea level, for four days.
Time Low Tide (inches)
Monday a.m. −4
Monday p.m. −6
Tuesday a.m. −3
Tuesday p.m. −1
Wednesday a.m. 0
Wednesday p.m. 2
Thursday a.m. −1
Thursday p.m. −3
What is the average height of the ocean at low tide with respect to sea level?
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The average height of the ocean is -2.
What is Average?Average The arithmetic mean is calculated by adding a set of integers, dividing by their count, and then taking the result.
For instance, the result of 30 divided by 6 is 5, which is the average of 2, 3, 3, 5, 7, and 10.
Averages are used to condense a vast number of data points into a single value. It is a visual depiction of all the data set's accessible numbers.
Given data:
Monday a.m.: −4
Monday p.m.: −6
Tuesday a.m.: −3
Tuesday p.m.: −1
Wednesday a.m.: 0
Wednesday p.m.: 2
Thursday a.m.: −1
Thursday p.m.: −3
So, the average height of the ocean at low tide
=(-4 + (-6)+ (-3)+ (-1) + 0+ 2 + (-1) + (-3))/8
= (-18 + 2 ) / 8
= -16 /8
= -2
Hence, the average height of the ocean is -2.
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Place brackets in the statements to make them true:
7-2² +3=28
2+2+2² =36
Answers
Check:
5^2+3
28
True
(2+2+2)^2=36
Check:
6^2
36
True
Miko’s restaurant bill was $16. She used the expression 1.18(16) to find the total cost, including an 18% tip. Which expression is equivalent to the amount Miko paid? i really need help my grades depened on you
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Answer: $18.88
Step-by-step explanation:
Berto has $12 to put gas in his car. If gas costs $3.75 per gallon, which ordered pair relating number of gallons of gas, x, to the total cost of the gas, y, includes the greatest amount of gas Berto can buy?
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Good Luck! :D
Answer:
The required ordered pair is (3.2,12).
Step-by-step explanation:
Let the x be the relating number of gallons of gas and y be the total cost of the gas.
It is given that the cost of gas is $3.75 per gallon. Total cost of x gallons is
[tex]y=3.75x[/tex]
Berto has $12 to put gas in his car.
[tex]y\leq 12[/tex]
[tex]3.75x \leq 12[/tex]
Divide both sides by 3.75.
[tex]x \leq 3.2[/tex]
The maximum number of gallons of gas is 3.2 and the total cost of the gas is 12.
Therefore the required ordered pair is (3.2,12).
The sum of four consecutive odd integers is 176
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4x + 12 = 176
- 12 - 12
4x = 164
/4 /4
x = 41
Answer: 41, 43, 45, 47
(If you have any questions I'd be happy to answer them)
The numbers are 41,43,45,47.
Given that,
The sum of four consecutive odd integers is 176.Based on the above information, the calculation is as follows:
x + x + 2 + x + 4 + x + 6 = 176
4x + 12 = 176
4x = 164
x = 41
So, the four consecutive odd numbers are 41, 43, 45, 47
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Write 28 as a product of its prime factors write the factors in order, from smallest to largest
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2 x 2 = 4
4 x 7 = 28
hope this helps
Final answer:
To express 28 as a product of its prime factors, you would write [tex]28 = 2^2 \times 7[/tex], where 2*2 represents 2 multiplied by itself and 7 is a prime number.
Explanation:
To write 28 as a product of its prime factors, we begin by finding the smallest prime number that divides 28. Since 28 is an even number, we know it's divisible by 2. So we start with 2 and keep dividing:
28 ÷ 2 = 14
14 ÷ 2 = 7
Now, 7 is a prime number and cannot be divided further except by 1 and itself. So, we end up with:
28 = 2 × 2 × 7
We can also express this using exponents:
28 = 2² × 7
These are the prime factors of 28, written in order from smallest to largest.
the library surveyed 240 people about their favorite type of movie if 15% of the people chose documentaries how many people chose documentaries
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What's -2x-x+8
?? Thanks
Answers
-3x + 8 is your answer
simplify the expression as much as possible
combine like terms (in this case is the "x" 's)
hope this helps
how do u decompose 122 and 3 in math
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Decomposing 3 is more simple because it is a single digit. It will look like this: 3, because all you are representing is the ones unit. However, some instructors will want you to break a single digit into its various addends, so if your instructor is asking you to do this, it will look like this: 3+0=3, 2+1=3, 1+2=3, 0+3=3.
Final answer:
Decomposing the number 122 involves breaking it into place values: 100 + 20 + 2. The number 3 is prime and can't be decomposed further except when used as an exponent, as in 3² = 9. Decomposing non-integer exponents, suggested by 3¹.⁷, is complex and often requires a calculator for exact results.
Explanation:
To decompose the number 122 in mathematics means to break it down into parts that can be more easily understood or used in calculations. One common method of decomposition is to break the number into its place values. For 122, this would be 100 + 20 + 2. As for the number 3, it is a prime number and cannot be decomposed into other numbers, except if we are talking about an operation such as factoring 3², which would be 3 x 3 or 9.
When dealing with exponents, as in the expression 3¹.7, we face a different type of decomposition. This is not a standard notation, and it might be a typo, as decimal exponents are not normally used. However, if we try to make sense of it, we could assume the intention was to represent a non-integer exponent, which might occur in expressions like [tex]3^{(17/10)[/tex], which would have to be calculated using a calculator or logarithms for a precise result. The decomposition in such scenarios is not as straightforward as with integer exponents like in 3´, which is simply 3 x 3 x 3 x 3.
antonio runs 5 3/4 miles a day hes halfway through his run
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Enter the sum of the numbers as the product of their GCF and another sum. 35+40. The sum of the numbers as a product of their GCF.
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As of December 2006, the national debt was $8.6 trillion, or 8.6 x 1012 dollars. At that time, the U. S. population was approximately 300,000,000 (300 million), or 3 x 108. If the national debt was evenly divided among every individual in the United States, how much would each citizen have to pay?
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On Sunday,1/16 of the people who visited were senoir citizens,3/16 were infants,3/8 were children,and 3/8 were adults. How many of each group visited the zoo on Sunday?
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Infants:3
Children:6
Adults:6
Find the distance between M(–2, 3) and N(8, 2).
a) 10
b) (image #1)
c) 8
d) (image #2)
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The answer is b) (image #1)
The distance between points M(-2,3) and N(8,2) is sqrt(101) which is calculated using the distance formula. None of the provided choices match this answer.
Explanation:The subject of this question is in the field of Mathematics, specifically involving the use of the Distance Formula in a coordinate plane. The distance between two points in a plane, Point M(-2, 3) and Point N(8, 2) can be calculated using the formula:
D = sqrt[(x2-x1)² + (y2-y1)²]
Substituting the given coordinates, we get:
D= sqrt[(8-(-2))² + (2-3)²]
D= sqrt[(10)² + (-1)²] = sqrt[100+1] = sqrt[101]
None of the provided options in the choices seem to be correct, assuming 'sqrt[101]' is not among the image choices.
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You get a large ice-cream cone for $2.99 and a bottle of water for $1.07 . You pay with a 10 -dollar bill. How much change will you get back?
Answers
The money obtained back after payment is $5.94.
What are arithmetic operations?The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.
Given that,
The cost of ice-cream is $2.99.
And, the cost of water bottle is $1.07.
The total money paid is $10.
Now, the change that can be got back is obtained by arithmetic operation as follows,
10 - (2.99 + 1.07)
= 10 - 4.06
= 5.94
Hence, the change that is got after the payment is $5.94.
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Are points A, C, D, and F coplanar? Explain.
a) Yes; they all lie on plane P.
b) No; three lie on the same face of the pyramid and the fourth does not.
c) Yes; they all lie on the same face of the pyramid.
d) No; they are not on the same line.
Answers
The points A, C and D form a triangle which is the front face you see in the pyramid. Point F is not on this triangle at all. Point F is towards the back at the base of the pyramid away from this front face. So we consider A,C,D,F collectively as a whole to be not coplanar. If we ignored the point F, then we can say that A,C,D are coplanar.
The points A, C, D, and F are not coplanar points.
What are the coplanar points?The points that are on the same plane is called coplanar points.
Here, a square pyramid is drawn on a plane.
Points A, C, D are three vertices of a side of the pyramid.
Hence, points A, C, D are coplanar.
However, the point F is the vertex of the opposite side triangle of the square pyramid.
Therefore, the point F is not on the same plane of points A, C, and D.
Hence, points A, C, D, and F are not coplanar.
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If the expression is 3x+1 is equal to -7 for the some value of x, Then what is the value of the expression 6x+5 for the same value of X? Show the work that leads to your solution
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3x = -8 subtract 1 from both sides to separate the x
X= -8/3 divide both sides by 3 to find the value of x
6(-8/3) + 5 replace x with the value of x that you found in the other equation
16 + 5 multiply 6 * (-8/3)
21 add 16+5
3x+1=-7
minus 1 both sides
3x+1-1=-7-1
3x+0=-8
3x=-8
divide both sides by 3
[tex]\frac{3x}{3}=\frac{-8}{3}[/tex]
[tex]\frac{3}{3}x=\frac{-8}{3}[/tex]
[tex]1x=\frac{-8}{3}[/tex]
[tex]x=\frac{-8}{3}[/tex]
ok for 6x+5
6x+5
[tex]6(\frac{-8}{3})+5=[/tex]
[tex]\frac{-48}{3}+5=[/tex]
[tex]-16+5=[/tex]
[tex]-11[/tex]
[tex]x=\frac{-8}{3}[/tex] and [tex]6x+5=-11 \space\ for \space\ x=\frac{-8}{3}[/tex]
The math club is selling gift wrap for a fundraiser. They sold all 45 rolls of solid wrapping paper at $4 each and rolls of patterned wrapping paper at $5 each. If they made $265, how many rolls of patterned wrapping paper did they sell?
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On Monday two hundred ninety students went on a trip to the zoo.All five buses were filled and only five students had to travel in cars.How many students were in each bus?
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I hope this helps ;)
What is a polynomial
Answers
Monomials have one term.
Binomials have two terms.
Trinomials have three terms.
All of these are classified as a polynomial.
Once you go over 3 terms, it's simply called a polynomial.
The Johnsons framed a family picture to hang on the wall. The perimeter of the frame is 72 inches. Use the formula p= 2l ÷ 2w to find the length of the frame if the width is 14 inches
Answers
length of the frame = ?
width of the frame = 14 inches
formula to use is
p = 2l ÷ 2w
now put the values of width and perimeter
72 = 2l ÷ 2(14)
72 = 2l ÷ 28
72 x 28 = 2l
2016 = 2l
l = 2016/ 2
l = 1008 inches
length of the frame is 1008 inches
Rodrigo researched the number of pets owned in the U.S. and displayed his results in the bar graph shown. in his research, he found that $7,737.6 million was spent on annually on veterinary visits for the dogs and $5,913 million was spent annually on visits for cats. How much more was spent, on average, by each person for dogs than cats?
Answers
Answer:
$29 million is spent more by each person for dogs than cats.
Step-by-step explanation:
Amount spent on visits for the dogs = $7,737.6 millions.
Number of dogs owned = 31.2 millions (by bar graph)
∴ On average amount spent on each person = [tex]\frac{7,737.6}{31.2} = $248 millions [/tex]
Amount spent on visits for the cats = $7,737.6 millions.
Number of cats owned = 27 millions (by bar graph)
∴ On average amount spent on each person = [tex]\frac{5913}{27} = $219 millions [/tex]
Thus, on average, by each person amount spent for dogs than cats = $248 millions - $219 millions = $29 millions.
if a doctor prescribes tablets with a strenght of 0.2 mg and 0.6 mg is ordered, how many tablets should the patient take?
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number 8 d+3n=1 solve for n
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3x - 2 (x + 3) = 4x - 7
Answers
____________________________________________________
Given: " 3x − 2 (x + 3) = 4x − 7 " ; Solve for "x" ;
____________________________________________________
Start with the following term on the "left-hand side" of the equation:
" - 2 (x + 3) " ;
____________________________________________________
Note the "distributive property of multiplication" :
____________________________________________________
a(b + c) = ab + ac ;
a(b − c) = ab − ac ;
____________________________________________________
As such,
" -2 (x + 3) = -2(x) + -2(3) = -2x + (-6) = -2x − 6 ;
____________________________________________________
So, we can rewrite our equation:
____________________________________________________
" 3x − 2 (x + 3) = 4x − 7 " ; substituting: " -2x − 6" (for " −2 (x + 3)" ; as follows:
____________________________________________________
3x − 2x − 6 = 4x − 7 ;
___________________________________________________
On the left-hand side off the equation;
________________________________
We can combine the "like terms" ; as follows:
3x − 2x = 1x = x ; and rewrite the equation:
__________________________________
x − 6 = 4x − 7 ;
____________________________________
We can subtract "4x" from each side of the equation; and add "6" to each side of the equation:
____________________________________
x − 6 − 4x + 6 = 4x − 7 − 4x + 6 ;
to get: -3x = -1 ;
____________________________________
Now, we divide EACH SIDE of the equation by "-3" ; to isolate "x" on ONE SIDE OF THE EQUATION; and to solve for "x" ;
____________________________________
-3x / 3 = -1/-3 ;
____________________________________
to get: x = ⅓ .
_____________________________________
→ Now, let us check our answer by plugging in "⅓" for all values of "x" in the ORIGINAL GIVEN EQUATION; to see if the equation holds true:
_____________________________________________________
→ 3x − 2 (x + 3) = 4x − 7 ;
→ [3 * (⅓) ] − 2 [ (⅓) + 3) = ? 4(⅓) − 7 ?? ;
→ (1) − 2(3 ⅓) =? (⁴/₃) − 7 ?? ;
→ (1) − 2(3 ⅓) =? (⁴/₃) − 7 ?? ;
→ (³/₃) − 2(¹⁰/₃) =? (⁴/₃) − (²¹/₃) ?? ;
→ (³/₃) − (²⁰/₃) =? (⁴/₃) − (²¹/₃) ?? ;
→ ⁽³ ⁻²⁰⁾/₃) =? ⁽⁴⁻²¹⁾/₃) ??
→ ⁻¹⁷/₃ = ? ⁻¹⁷/₃ ?? Yes! Our answer "makes sense"!
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