Answer:
The Three options are
1. m∠5 + m∠6 = 180° ...........Linear Pair
2. ∠ 2+ ∠ 3 = ∠ 6.................Exterior angle Property of Triangle
3. m∠2 + m∠3 + m∠5 = 180° .....Triangle Sum Property
Step-by-step explanation:
Consider Δ ABC with Exterior angles as
∠ 1 , ∠ 4 ,and ∠ 6
Exterior angle Property of Triangle:
An exterior angle of a triangle is equal to the sum of the opposite interior angles.
For Exterior ∠ 1 we have
∠ 1 = ∠ 5 + ∠ 3 .................Exterior angle Property of Triangle
Similarly,
For Exterior ∠ 4 we have
∠ 4 = ∠ 5 + ∠ 2.................Exterior angle Property of Triangle
Similarly,
For Exterior ∠ 6 we have
∠ 6 = ∠ 2 + ∠ 3.................Exterior angle Property of Triangle
Triangle Sum Property:
Ina triangle sum of the measures of angles is equal to 180°
∴ m∠2 + m∠3 + m∠5 = 180° .....Triangle Sum Property
Linear Pair:
The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.
∴ m∠5 + m∠6 = 180° ...........Linear Pair
Answer:
m∠5 + m∠6 =180°
m∠2 + m∠3 = m∠6
m∠2 + m∠3 + m∠5 = 180°
Step-by-step explanation:
got it correct on my test
Consider the two triangles.
Triangles W U V and X Z Y are shown. Angles V U W and Y X Z are congruent. Angles U W V and X Z Y are congruent. Angles U V W and Z Y X are congruent. The length of side V W is 60 and the length of side Z Y is 48. The length of side Y X is 40 and the length of V U is 50. The length of side U W is 40 and the length of X Z is 32.
How can the triangles be proven similar by the SSS similarity theorem?
Show that the ratios StartFraction U V Over X Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over Z Y EndFraction are equivalent.
Show that the ratios StartFraction U V Over Z Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over X Y EndFraction are equivalent.
Show that the ratios StartFraction U V Over X Y EndFraction and StartFraction W V Over Z Y EndFraction are equivalent, and ∠V ≅ ∠Y.
Show that the ratios StartFraction U V Over Z Y EndFraction and StartFraction W U Over Z X EndFraction are equivalent, and ∠U ≅ ∠Z.9.8 inches
The ratios StartFraction U V Over Z Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over X Y EndFraction are equivalent.
Similarity theorem of trianglesFor two triangles to be similar, the ratio of the measure of similar sides of the triangle must be equal to a constant known as a scale factor.
From the given figures, the expression that can be used to prove that the triangles are similar is as shown;
UV/ZY = WU/ZX = WV/XY
Hence the correct option is to show that the ratios StartFraction U V Over Z Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over X Y EndFraction are equivalent.
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What is root -9 + root -12 written as a complex number in the form a + bi ?
Answer:
Step-by-step explanation:
I assume you are talking about square roots when you say root...
Sqrt(-9) = 3i
Sqrt(-12) = 2Sqrt(3)i
Complex number is 3 + 2Sqrt(3) i
Barry grows apples, blueberries, grapes, and zucchini on his farm. He sells his grapes for $3.50 per pound. How much money did he make selling grapes on Saturday and Sunday?
A)$52.50
B)$108.50
C)$101.50
D)$49.00
Answer:
ok so this might look confusing what you have to do is just ignore part of the problem in this one just ignore apples, blueberries and zucchini their not important
on saturday it looks like he sold 14 pounds on sunday 15 pounds
14+15=29
and each pound is 3.50 so
29*3.5= 29*3+29*0.5
29*3=87
29*0.5=14.5
87+14.5=101.5
c
Hope This Helps!!!
The exterior angle of a regular polygon is 225 degree find the number of sides
Answer:
1.6sides
Step-by-step explanation:
Sum of total exterior angle/One exterior angle
360/225=1.6sides
Which of the following is an expression with no
restrictions? (This involves factoring & rationals)
3x-4
____
x + 2
13x + 4
_____
24
x-3
___
x-3
Answer:
Step-by-step explanation:
13x+4/24
Rationals means that a variable would be in the denominator. In this case, only 24 is just a number
In a triangle If angle c is 40 degrees and angle a is 75 degrees what is angle b
Answer:
65°
Step-by-step explanation:
The sum of the internal angles of a triangle is 180°
40° + 75° + b° = 180°
115° + b° = 180°
b° = 180° - 115°
b° = 65
Which ordered pair would form a proportional retationship with the points in the graph?
4,4
6,9
9,6
8,5
Answer:
(9, 6)
Step-by-step explanation:
the given points are
(3, 2)
(6, 4)
so, can you see, how the sequence continues ?
I see immediately that for every 3 additional units of x we add 2 units of y.
so, yes, the next point in the sequence is
(6 + 3, 4 + 2) = (9, 6).
so, this point (or ordered pair) follows the same ratio or proportional relationship between x and y as the points already in the graph.
in other words, they are on the same line following the same slope ("y coordinate change / x coordinate change" when going from one point on the line to another).
Write 4 fractions that are equivalent to 6/8.
Answer:
6/8 is an equivalent fraction of 3/4.
We can find some other equivalent fractions by multiplying the numerator and the denominator of the given fraction by the same number. Thus, the equivalent fractions of 3/4 are 6/8, 9/12, 12/16, and 15/20.
Answer:
below
Step-by-step explanation:
6/8 = 3/4, 9/12, 12/16 and 15/20
Quick algebra 1 question for 50 points! :)
Answer:
a. $6
b. the point (1,6)
c. slope of line is y=6x, plug in 1 as x
Step-by-step explanation:
Answer:
Adam deposit $6 each week
I determined the answer, based on the point (1,6)
For question c, slope of line is y = 6x because 1 will not count in here
Step-by-step explanation:
When I was in Algebra 1, I did get this similar question.
In a sequence, each number is 2 less than double the previous number. morgan finds the number directly before 48 in the sequence. his answer has two digits. he adds these two digits to get a new number. what is the new number
The new number in the sequence is found to be 7.
What is the term of the sequence?In mathematics, a sequence is a list of components, usually numbers, where the components' order is important. Here, everything fits into a predetermined pattern.
A sequence can be arranged in either ascending or descending order.
There are certain unique sequences, including the triangular number series, square number sequence, cube number sequence, geometric sequence, Fibonacci sequence, and harmonic sequence.
According to the question, the sequence follows the pattern:
Next number=2(Previous number)-2
On substituting the values,
48=2(Previous number)-2
50=2(Previous number)
Previous number=[tex]\frac{50}{2}[/tex]=25
New number=sum of digits of the previous number in the sequence
=2+5
=7
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The Boden brothers had a 25-meter swimming race at a pool. Michael gave Hasson a 3-meter head start. Use the given data below to determine who won the race and by how many seconds.
Hasson’s Swim
A graph with points (6, 9.6), (8, 11.8), (10, 14), and (12, 16.2).
Michael’s Swim
A 2-column table with 4 rows. Column 1 is labeled Time (seconds) with entries 6, 8, 10, 12. Column 2 is labeled Distance (meters) with entries 8.4, 11.2, 14, 16.8.
won the race by about
seconds.
For Hasson’s Swim the data is a graph with points (6, 9.6), (8, 11.8), (10, 14), and (12, 16.2), and Michael’s Swim A 2-column table with 4 rows. Column 1 is labeled Time. Micheal won by 2 sec. This is further explained below.
Who won the race by about seconds?Generally, a diagram that illustrates the relationship between variable quantities, usually consisting of two variables, with each variable being measured along one of a pair of axes that are intersected at right angles.
In conclusion, Micheal won by 2 sec.
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Answer:
1. Michael
2. 2 seconds
Step-by-step explanation:
flash is the best show on netflix
I would appreciate if someone could explain this to me , thanks
Answer: 0.001389
Step-by-step explanation:
Since you have 6 probabilities that it could be red, you get 1/6. Now, you took 1 probability out of 6, so now you only have 5. So you multiply 1/6 by 1/5. Now you have only 4 cards. Multiply 1/ 6 * 1/5 * 1/4 and keep going (e.g 1/6 * 1/5 * 1/4 * 1/3 * 1/2 * 1). This comes out to 0.00138888888, or rounded to six decimal places, 0.001389.
If my answer was helpful, please mark it as brainliest. The other dude's answer was WRONG.
Triangles L M N and P O N connect at point N. Angles L M N and N O P are congruent.
Why is the information in the diagram enough to determine that △LMN ~ △PON using a rotation about point N and a dilation?
because both triangles appear to be equilateral
because∠MNL and ∠ONP are congruent angles
because one pair of congruent corresponding angles is sufficient to determine similar triangles
because both triangles appear to be isosceles, ∠MLN ≅ ∠LMN, and ∠NOP ≅ ∠OPN
Answer: because ∠MNL and ∠ONP are congruent angles
Step-by-step explanation:
Options 1 and 4 are wrong because we cannot base our answer on assumptions from the diagram.
Option 3 is wrong because you need two pairs of corresponding congruent angles to prove similar triangles, not just 1.
An 84-foot building casts a 98-foot shadow. What is the angle that the sun hits the building? HINT: Draw a picture.
Answer:
40.6°
Step-by-step explanation:
The building and the shadow are perpendicular to each other (or intersect at a 90° angle).
Meaning that this is a triangle problem.
We are making a triangle from the building to the shadow and a diagonal line connecting the ends of both.
We need to find the angle at the top of the building. The opposite side of the angle is 84. The adjacent side is 98.
Opposite / Adjacent = Tan X
So if we go to the calculator:
[tex]tan^{-1} (\frac{84}{98}) = 40.6[/tex]
The answer is 40.6 degrees.
For random samples of size 100 from a population, the mean of the sample means from all possible samples is _________ ____ the population mean.
For random samples of size 100 from a population, the mean of the sample means from all possible samples is less than the population means.
The suggestion of the pattern means will equal the population suggest. the standard deviation of the distribution of the sample means, called the same old blunders of the suggested, is the same as the population trendy deviation divided by means of the rectangular root of the sample length (n).
The general sample suggests components for calculating the pattern mean.
The populace suggest is the mean or average of all values within the given population and is calculated by using the sum of all values within the population denoted with the aid of the summation of X divided by way of the number of values in the population that's denoted with the aid of N.
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What is the range of the function f(x) = 3/4|x| - 3
All real numbers
All real numbers less than or equal to 3
All real numbers less than or equal to -3
All real numbers greater than or equal to -3
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
9514 1404 393
Answer:
all real numbers greater than or equal to –3
Step-by-step explanation:
|x| has a range of all real numbers greater than or equal to zero, so f(x) = |x|-3 will have a range of ...
all real numbers greater than or equal to -3
In a fourth-grade class, students are making cookies to learn about fractions. They are using a set of measuring cups and spoons for their measurements. This learning is best described as:
In a fourth-grade class, students are making cookies to learn about fractions. They are measuring using measuring cups and spoons. This learning is best described as formal standard measurement.
A standard unit of measurement is a quantifiable language that helps everyone understand the association of the object with the measurement. It is expressed in inches, feet, and pounds, in the United States, and centimeters, meters, and kilograms in the metric system.
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What is the area of a rectangle with vertices at (−3, −1), (1, 3), (3, 1), and (−1, −3)?
Do not round any side lengths
Using the distance formula, the area of the rectangle is: 16 units².
What is the Area of a Rectangle?Area of a rectangle = (length)(width).
Given the vertices:
A(−3, −1)B(1, 3)C(3, 1)D(−1, −3)Area = (AB)(BC)
Apply the distance formula, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex], to find AB and BC:
AB = √[(1−(−3))² + (3−(−1))²]
AB = √[(4)² + (4)²]
AB = √32
BC = √[(1−3)² + (3−1)²]
BC = √[(−2)² + (2)²]
BC = √8
Area = (√32)(√8) = √256
Area = 16 units²
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PLS HELP I NEED THIS QUICK THANK YOU IN ADVANCE
Use the substitution method to solve the system of equations. Choose the
correct ordered pair.
y = 5x-17
y = x + 3
OA. (5,8)
OB. (4,7)
O C. (1,-12)
OD. (5,-17)
Answer:
A(5 ; 8)
Step-by-step explanation:
y = 5x - 17
y = x + 3
5x - 17 = x + 3
⇔ 5x - x = 3 + 17
⇔ 4x = 20
⇔ x = 20/4
⇔ x = 5
y = 5 + 3 = 8
So (5 ; 8)
Answer:
We can use the substitution method to solve the system of equations.
Since y = x + 3, we can substitute this expression for y in the first equation:
y = 5x - 17
x + 3 = 5x - 17
Subtracting x from both sides, we get:
3 = 4x - 17
Adding 17 to both sides, we get:
20 = 4x
Dividing both sides by 4, we get:
x = 5
Substituting this value of x into either equation, we get:
y = x + 3 = 5 + 3 = 8
Therefore, the correct ordered pair is (5, 8), which corresponds to the point where the two lines intersect.
The correct answer is (A) (5,8).
eric borrowed 5,000 to buy a used car. he agreed to make monthly payments of 175.00 for 36 months how much will how actually pay the bank
If Eric agreed to make monthly payments of 175.00 for 36 months, the total amount of money he will pay the bank is 6,300.
How much will Eric pay the bank?
Given that;
Amount of money borrowed = 5000Monthly payment = 175.00Number of month = 36Total amount of money paid to the bank = ?To determine the total amount of money that Eric will pay the back, we simply multiply his monthly payment and the number of months.
175.00 × 36
= 6,300
Hence, if Eric agreed to make monthly payments of 175.00 for 36 months, the total amount of money he will pay the bank is 6,300.
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The data below represent the number of days absent per year in a population of three employees of a small company:
1 4 7
Assuming that you sample without replacement, select all possible samples of n = 2 and construct the sampling distribution of the mean. Compare the mean of all the samples means and also compute the population mean. Are they equal? What is the property called?
Repeat (a) for all the sampling distribution of the mean in (a) for n= 3. Which sampling distribution has less variability? Why?
Assuming that you sample with replacement, repeat (a) through (c) and compare the results. Which sampling distribution have the least variability – those in (a) or (b) ? Why?
The sampling distribution is illustrated below.
How to illustrate the sampling?Based on the information given, the population is illustrated as 1, 4, 7. The sample without replacement will be:
Sample Mean
1 and 4. 2.5
1 and 7. 4
4 and 7. 5.5
The population mean will be:
= (1 + 4 + 7)/3
= 4
The sample mean is an unbiased estimator of the population mean.
The sampling with replacement illustrates that the mean will be:
= 36/9 = 4
Also, when n = 3, the number of samples will be:
= 3³ = 27
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Find last year's salary if, after a 4% pay raise, this year's salary is 31,720
Answer:
30500[tex].[/tex]
Step-by-step explanation:
104%=31,720
100%= x
[tex]\frac{(31720)(100)}{104}=30500[/tex]
Which of the following is the equation for the graph shown?
The equation of an ellipse for the graph shown is [tex]\frac{x^2}{5^2} + \frac{y^2}{21^2} = 1[/tex]
How to determine the equation?Since the given coordinates of the vertices and foci have the form (-5, 0) and (5, 0) and (-2, 0) and (2, 0) respectively, this ultimately implies that the major axis of this ellipse is the x-axis.
Thus, the standard form of the equation of this ellipse is given by:
[tex]\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1[/tex]
Next, we would solve for b² by using this equation:
b² = a² - c²
b² = 5² - 2²
b² = 25 - 4
b² = 21.
Substituting the parameters into the standard equation of an ellipse, we have;
[tex]\frac{x^2}{5^2} + \frac{y^2}{21^2} = 1[/tex]
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How do the angle measures of polygon ABCD compare with the angle measures in the reflected image? How do the side lengths compare? What can you say about the preservation of the angle measurements and side lengths of a shape during a reflection?
The measures of the angles ABCD are the same as the measures of the angles that is corresponding based on the reflected images.
How to show that the angles are equalBased on the fact that this is a reflection, the angles would be equal measures.
What this means is that there is a preservation of the of the reflected image. This is the same logic for the length of the sides.
The reflection is known to be a rigid type of transformation that is known to have its angles and sides preserved.
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Answer:
The measures of the interior angles of polygon ABCD are equal to the measures of the corresponding angles in the reflected image. This means that angle measurements of the polygon are preserved as the image is reflected. The same is true for the side lengths. The measures of both angles and sides are preserved in a reflection. A reflection is a rigid transformation.
Step-by-step explanation:
Edmentum sample answer
May someone help me please?
A triangle has one side length of 2x
2 + 5x + 3. The other two sides of the triangle have lengths x
2 + 2x and
3x − 2. Determine the simplified expression that represents the total perimeter of the triangle.
The simplified expression that represents the total perimeter of the triangle is 2x^2 + 10x + 3
How to determine the perimeter?The side lengths are given as:
2x^2 + 5x + 3, 2 + 2x and 3x - 2
Add these lengths to determine the perimeter (P)
P = 2x^2 + 5x + 3 + 2 + 2x + 3x - 2
Collect like terms
P = 2x^2 + 5x + 2x + 3x + 3 + 2 - 2
Evaluate the like terms
P = 2x^2 + 10x + 3
Hence, the simplified expression that represents the total perimeter of the triangle is 2x^2 + 10x + 3
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Quadrilateral A B C D is rotated 145 degrees about point T to form quadrilateral A prime B prime C prime D prime.
Quadrilateral ABCD is rotated 145° about point T. The result is quadrilateral A'B'C'D'. Which congruency statement is correct?
ABCD ≅ A'B'C'D'
ABCD ≅ A'D'C'B'
CDAB ≅ A'D'C'B'
CDAB ≅ C'B'A'D'
The correct answer is option A which is ABCD ≅ A'B'C'D'.
What is translation?The process of changing the location of the image on the coordinate system will be known as the translation.
Quadrilateral ABCD is rotated at 145° about point T. The result is quadrilateral A'B'C'D'.
ABCD ≅ A'B'C'D'is correct Since the quadrilateral remains the same even after rotation of 145 degrees. Its corresponding sides and angles will remain the same.
Thus ABCD is congruent to A'B'C'D'.
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Answer: The answer is A
Step-by-step explanation:
Solve the quadratic equation 9x ^ 2 - 6x = 11 using the quadratic formula.
Answer:
x = 1.48803, x= -0.821367
Step-by-step explanation:
9x²-6x=11
9x²-6x-11=0
use quadratic formula: x = [- b ± √b²- 4ac)]÷ 2a
Answer:
x =1+2{3 over 3
Step-by-step explanation:
Which of the following has no inverse?
a) y=√x
b) y=x³
c) y=x²
d) y=x
Glven: AABC with DE || AC
AD CE
EB
Prove: DB
B
1. DE
2.
Statement
E
Reason
C
given
If two parallel lines are
cut by a transversal, the
corresponding angles are
congruent.
What is the missing step in this proof?
OAZCAB
OB. ZADE
OC.
OD. ZCABLEDB, ZACB DEB
LACB, LEDB ZDEB
ZDBE, ZCED= LEBD
ZCAD ZACE, ZADEZCED
The missing statement in the proof is; AB/BD = CB/EB
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths.
The given proof is the triangle proportionality theorem which states that the segments formed by side DE are proportional.
The two column proof is presented as follows;
Statement Reason
1. DE || AC 1. Given
2. ∠CAB ≅ ∠EDB 2. Corresponding angles formed between ║ lines
3. ΔABC ~ ΔDBE 3. AA criterion for similarity
4. AB/BD = CB/EB 4. Corr. sides of similar Δs are prop.
5. AB = AD + DB 5. Segment addition CB = CE + EB
6. (AD + DB)/(DB) = (CE + EB)/(EB) 6. Substitution Property of Equality
7. (AD)/(DB) + 1 = (CE)/(EB) + 1 7. Division
8. (AD)/(DB) = (CE)/(EB) 8. Subtraction Property of Equality
Hence, the missing statement in the proof is; AB/BD = CB/EB
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