For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C.
Use the image below for Part A, Part B, and Part C.

Two triangles: GHI and JKL
Both have one similar angle but different side lengths

Part A: Sharon says the triangles above are similar using the AA Postulate. Is she correct?

Part B: Explain the answer from Part A.

Part C: If HI=7, find KL. Show your work.



Please Help!

For The Three-part Question That Follows, Provide Your Answer To Each Question In The Given Workspace.

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

A

for the triangles to be similar by the AA postulate then 2 angles in both triangles must be congruent.

In this case we are only given 1 pair of congruent angles.

Thus not able to say similar by AA postulate, therefore Sharon is incorrect in her assumption.

B

the sides are of different lengths but the ratios of corresponding sides are equal, that is

[tex]\frac{JK}{GH}[/tex] = [tex]\frac{8}{4}[/tex] = 2 and [tex]\frac{JL}{GI}[/tex] = [tex]\frac{10}{5}[/tex] = 2

If the ratios of 2 pairs of corresponding sides of 2 triangles are equal and the included angles are congruent , then the triangles are similar, so

Δ GHI and Δ JKL are similar by the SAS postulate

C

the ratios of corresponding sides are equal , then

[tex]\frac{KL}{HI}[/tex] = [tex]\frac{JL}{GI}[/tex]

[tex]\frac{KL}{7}[/tex] = [tex]\frac{10}{5}[/tex] = 2 ( multiply both sides by 7 to clear the fraction )

KL = 14


Related Questions

helpp me ASAP please i need it

Answers

Answer:

No.

Step-by-step explanation:

No because the dot is not in the area where BOTH red AND blue cover. It is only in the red area, not in BOTH red AND blue.

No , the dot is not in the same area where blue and red cover

The Tasty Cookies Factory has a new robotic oven that produces 3,258 cookies each day. They sell the cookies in boxes of 12 cookies each. Managers Fatima and Jorge need to figure out how many boxes they can ship out of the factory each day.

The managers want to know how many boxes of 12 cookies can be filled with the 3,258 cookies that have been baked. Fatima starts by subtracting the largest number of boxes she can easily calculate. She knows that 100 boxes of 12 cookies can be put into one crate. How many crates can be filled from the total of 3,258 cookies?

Answers

they can ship out 271 boxes each day. 3,258/12 is 271.5 but the 0.5 doesn't matter bc that'd be half a box. a total of 2 crates can be filled fully with another crate that isn't completely full (in total 3 crates max)

A survey found the following number of pets in different households.

4, 1, 0, 2, 1, 3, 1

What is the mean absolute deviation for the number of pets?



Answers

Therefore , the solution to the given problem of mean comes out to be  the sample size yields the equivalent number of households is 30.

What is mean?

Regardless of whether many elements are discrete or continuous, averages can only be calculated for numeric variables. You may find this by dividing the total number of values in the dataset by the total number of values in the dataset. It is possible to perform computations using either raw data or data that has been compiled into frequency tables. The average value in mathematics is obtained by adding up all the numbers in a set of data and dividing the total by the total number of numbers.

Here,

Given:

Mean = 2

Four pets are two standard deviations away from the mean, and one standard deviation equals one pet.

We can determine that at least

100 (1-1k2)% = 100 (1-1/4)% = 75%

is within 2 standard deviations of the mean using Chebyshev's Rule with

k = 2.

The percentage times the sample size yields the equivalent number of households:

=> 75% x 40 = 30

Therefore , the solution to the given problem of mean comes out to be  the sample size yields the equivalent number of households is 30.

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WILL GIVE BRAINIEST IF CORRECT!!!!!! AND EXTRA POINTS!!!
Alex can stack exactly 16 cookies with a diameter of 5 cm in a cylindrical container of volume 100.- em.
What is the thickness of each cookie?

Answers

The thickness of each cookie is 0.318 cm.

What is the volume of a right circular cylinder?

Suppose that the radius of considered right circular cylinder be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \pi r^2 h \: \rm unit^3[/tex]

Right circular cylinder is the cylinder in which the line joining center of top circle of the cylinder to the center of the base circle of the cylinder is perpendicular to the surface of its base, and to the top.

We are given that;

Diameter=5cm

Volume= 100cm3

Now,

To find the thickness of each cookie, you need to follow these steps:

Plug in the values into the formula for volume and solve for height:

Volume = π × radius^2 × height

100 = π × 2.5^2 × height

100 = 19.635 × height

height = 100 / 19.635

height = 5.093 cm

Divide the height by the number of cookies to get the thickness of each cookie:

Thickness = height / number of cookies

Thickness = 5.093 / 16

Thickness = 0.318 cm

Therefore, by the volume of cylinder answer will be 0.318 cm.

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Complete the square to write each equation in vertex form. Then, state whether the vertex is a minimum or a maximum and give its coordinates.

Answers

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

• If a > 0 then vertex is minimum

• If a < 0 then vertex is maximum

Given

y = x² + 6x + 10

(a)

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² + 6x

y = x² + 2(3)x + 9 - 9 + 10

y = (x + 3)² + 1 ← in vertex form

(b)

Since a = 1 > 0 then vertex is a minimum

(c)

(h, k ) = (- 3, 1 ) ← coordinates of vertex

In a survey of 1,500 people who owned a certain type of​ car, 750 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

If in a survey of 1,500 people who owned a certain type of​ car, 750 said they would buy that type of car again, the percent of people surveyed who were satisfied with the car is 50%.

To find the percent of people surveyed who were satisfied with the car, we can use the following formula:

percent satisfied = (number of satisfied people / total number of people surveyed) x 100

In this case, the number of satisfied people is 750 and the total number of people surveyed is 1,500. So we have:

percent satisfied = (750 / 1,500) x 100 = 0.5 x 100 = 50%

So, 50% of the people surveyed were satisfied with the car.

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What is the coefficient form of X³ 2 *?

Answers

Let x= the co-efficient of x^2. So the co-efficient of given function is x=1.

Define co-efficient.

The term "coefficient" refers to a number or symbol that multiplies another number or symbol (used as a mathematical variable).

Write an example of co-efficient.

An amount multiplied by a variable is known as a coefficient. As an illustration, 6z stands for 6 times z. Since z is a variable, 6 is a coefficient. For variables without a value, the coefficient is 1.

Let x= the co-efficient of x^2 So the co-efficient of given function is x=1.

The term multiplied with x^3 is the co-efficient of this expression. As there is not term with x^2 so it is 1.

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Please help!!!
I will mark the person brainliest who answers with an actual correct answer
Please help!!!
Due soon!!
Answer choices below:
A. (-2,4) and (11,-7)
B. (6,5) and (6,7)
C. (3,3) and (6,3)
D. (1,1) and (6,7)

Answers

Answer:

A.(-2,4) and (11,-7) ...

I hope I'm correct

A piggy bank contains 22 dimes, 7 nickels and 15 quarters. This morning you removed 8 dimes and 3 nickels. Which expression correctly shows the amount remaining in the piggy bank?

Answers

The expression that correctly shows the amount remaining in the piggy bank will be; 22d + 7n + 15q - (8d + 3n) = $4.85

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We are given that piggy bank contains 22 dimes, 7 nickels and 15 quarters. This morning you removed 8 dimes and 3 nickels.

LEt consider

dimes = d

→ nickels = n

quarters = q

Now the expression will be;

22 dimes + 7 nickels + 15 quarters - 8 dimes - 3 nickels

22d + 7n + 15q - 8d - 3n = $4.85

22d + 7n + 15q - (8d + 3n) = $4.85

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please help where do i put it on the graph

Answers

Answer:

(0,5),(2,6) these are the coordinates of the line.

Step-by-step explanation:

I hope this helps.

what is the recipricol of 3.5

Answers

Answer:

-2/7

Step-by-step explanation:

reciprocal, I'll put it as negative inverse.

so just concert 3.5 to fraction, which is 7/2

then find the negative inverse that's -1÷7/2

answer us -2/7

really hope it's right(...sorry if I'm wrong) and hope you get it.

help me with this math question please I'm giving away brainliests​

Answers

Answer:the blue one

Step-by-step explanation:

Please help me with this problem.

Answers

In the year 1582, January 1st was adopted for the new year celebration

What is an equation?

An equation is used to show the relationship between numbers and variables.

Polynomials consist of exponents of variables and numbers forming an equation using operations of addition and subtraction. The degree of a polynomial determines it type such as linear, quadratic, cubic and so on.

The polynomial having a degree of 3 is cubic while that with a degree of 2 is quadratic and that with degree of 1 is linear

The year that January 1st was adopted as new year can be gotten using the function:

f(x) = 3x³ - 7x² - 5x + 7

f(9) gives the year that it was adopted. Substituting x = 9 gives:

f(9) = 3(9)³ - 7(9)² - 5(9) + 7

f(9) = 1582

In the year 1582, the new year was celebrated at January 1st

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help! thanks !!! asap tho-

Answers

The unit rate of change of the proportional relationship is given as follows:

2.25.

The graph of the proportional relationship is given by the image presented at the end of the answer.

What is a proportional relationship?

A proportional relationship is a linear function with an intercept of zero modeled as follows:

y = kx.

In which k is the constant of proportionality.

The input and output variables for this problem are given as follows:

Input variable x: cups of sugar.Output variable y: cups of flour.

The constant k, representing the unit rate, is obtained by the division of the output of the input from the table, hence:

k = 4.5/2 = 6.73/3 = 9/4 = 2.25.

Meaning that the function is defined as follows:

y = 2.25x.

The function is graphed for a domain of x ≥ 0, as the number of cups of sugar must be a countable, non-negative amount.

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Help pls with this problem​

Answers

Answer:

x=45

Step-by-step explanation:

180-32=148

148/2=74

180-74=105

105-60=45

x=45

Find the value of the six trigonometric function for the angle in standard position determined by the point (-1,2)

Answers

Step-by-step explanation:

x= -1

y= 2

r = √(-1)²+2² =√1+4=√5

sin a = 2/√5

cos a = -1/√5

tan a = 2/-1= -2

sec a = √5/-1 =-√5

csc a = √5/2

cot a = -1/2

solve the system:
2x+5y=24
x=y+5​

Answers

Answer:

(x,y) = (7,2)

Step-by-step explanation:

Hope it helps

n
If a new data point at 12 is added to the graph, which
will be true?
1
2
3
4
5
6.
7
8
9
10 11 12 13
The mean will increase, and the median will stay the
same,
O The median will increase, and the mean will stay the
same
The mean will increase more than the median, but
both will increase.
The median will increase more than the mean, but
both will increase

Answers

Answer: C) The mean will increase more than the median, but both will increase.

Step-by-step explanation:

I got it right already! :)

The solution is, The mean will increase more than the median, but both will increase.

[third option listed]

What is median?

In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.

here, we have,

the median of a data set is the number in the middle [when listed from lowest to highest in value]

1 2 3 4 5 6 7 8 9 10 11 12 13

is the current median

let's consider what adding 12 would mean--it would mean that we move the median slightly higher [further along in the data set] because there are more numbers (but let's try this out to confirm:)

1 2 3 4 5 6 7 8 9 10 11 12 12 13

[if a median placement is shared between two numbers, the mean/average of those two numbers is taken, and that is considered to be the median]

so, 7.5 is the current median

(this is an increase of 0.5)

the mean of a data set is what we commonly refer to as the "average"

[you find this value by adding all of the numbers in the data set together and dividing by the number of terms in the data set]

1 2 3 4 5 6 7 8 9 10 11 12 13

mean of original data set:

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 [= 91]

_______________________________________

                                   13

[91 ÷ 13 = 7]

because our number is greater than our original mean [12 > 7], we know that the mean must increase:

[91 + 12 = 103]

[103 ÷ 14 ≈ 9.36]

[we had an increase of 2.36]

so, median increased by 0.5, mean increased by 2.36

so, both values increased, whilst the mean increased by more than the median [as to be expected]

so, we get,

"The mean will increase more than the median, but both will increase." [third option listed]

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3. Mr. Langley is painting the exterior of his house. He uses 7 1/2 gallons of paint for the surface

and 2/3 of a gallon of paint for the trim. He had estimated that he would use 11 gallons of paint. How

many gallons of paint was he away from his estimation?

Answers

The amount he estimated (11 gallons). 11 - 8.16 = 0.21 gallons.

What is estimation?

Estimation is the process of making an educated guess about the value of something, such as a quantity, cost, or other measurement, based on the available information. It's used in many fields, including mathematics, engineering, economics, business, and project management. Estimation is an important skill which can help people make decisions and solve problems quickly.

Mr. Langley was away from his estimation by 0.21 gallons of paint. This is calculated by subtracting the total amount of paint he actually used (7.5 + 0.66 = 8.16 gallons) from the amount he estimated (11 gallons). 11 - 8.16 = 0.21 gallons.

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PLEASE FAST MY GRADE IS A 71 A F AND THE REPORT CARDS ARE TOMMOROW PLEASE HELP ME NOT GETTING A WHOOPEN.

Answers

Answer:

Option A

Step-by-step explanation:

Min: 72

Q1: 83

Median: 89

Q3: 92

maximum: 94

Dixon leaves school to go home.he walks 6 blocks north and 8 blocks west. How far is Dixon from the school

Answers

I don’t know I’m really sorry

Answer:

2 blocks would be the correct answer


40% of x is 35.
X=?

Answers

Step-by-step explanation:

0.40x = 35 ---> x = (35 /0.40) = 87.5

Uncle Drew scored 28 points in 5 5/6 minutes during a game of basketball. How many points did he average per minute during that 5 5/6 minutes?

Answers

Answer:

He scored an average of 4.8 points per minute.

Find the mean, median, and mode of the data. Choose the measure that best represents the data. Explain your reasoning. 2. 55,65,49,22,56,65,61,57. 4. 20.1, 13.4, 9.8, 21.3, 20.8, 19.1, 68.1, 22.6

Answers

Answer:

  2.  mean: 53.75; median: 56.5; mode: 65; median is best

  4.  mean: 24.4; median: 20.45; no mode; median is best

Step-by-step explanation:

You want the mean, median, mode, and best representation of the data for data sets ...

  2. — 55,65,49,22,56,65,61,57

  4. — 20.1, 13.4, 9.8, 21.3, 20.8, 19.1, 68.1, 22.6

Mean

The mean of the data is the sum of the data values, divided by the number of data values.

Median

The median data value is the middle of the sorted list, or the average of the two middle values. Here, there are an even number of data values in each list, so the median is the average of the middle two.

Mode

The mode of the data set is the value that is repeated most often. A data set may have multiple modes. Here, where one of the datasets has no repeated values, we describe it as having "no mode."

Data set 2

The first attachment shows the descriptive statistics are ...

mean: 53.75median: 56.5mode: 65

The data is skewed to the left, with the value 22 being an outlier. This value reduces the mean. The mode is the maximum value in the data set, so it does not fairly represent the data, either.

The median best represents the data.

Data set 4

The second attachment shows the descriptive statistics are ...

mean: 24.4 median: 20.45mode: none (no repeated values)

The data is skewed to the right, with the value 68.1 being an outlier. This tends to raise the mean above what it would otherwise be. There is no mode.

The median is best represents the data.

<95141404393>

3) Camile offers you a challenge. Are the triangles below similar? Examine them and tell how
you know.

a) Use a flowchart to organize your explanation.
b) Camile says, "These triangles aren't just similar-they're congruent!" Is Camile
correct? What special value in your flowchart indicates that the triangles are
congruent?

Answers

a) The flowchart for the congruency of triangles is given below.

b) The triangles are congruent as DQ ≅ XZ, PQ ≅ XY, and ∠PQD ≅ ∠ZXY.

What is congruency?

The word 'congruent' means 'exactly equal' in terms of shape and size. Even when we turn, flip, or rotate the shapes, they remain equal.

In the given diagram, it can be seen that -

Line segment DQ = Line segment XZ.

Similarly, Line segment PQ = Line segment XY.

Since, the two sides of the triangle are equal, hence the third side must also be equal.

Line segment PD = Line segment ZY.

Also, in the diagram it can be seen that ∠PQD ≅ ∠ZXY.

Therefore, the triangles PDQ and ZXY are equal and congruent.

The flowchart for the same is given below.

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exponens
question in the image below

Answers

Answer:

Step-by-step explanation:

3n3

we have to combine like terms

n5-n2 is n3 (dividing exponents means subtracting)

this could be 1/3 n3 or 3 n3

plz help I put 25 ponts

Answers

Answer:

what do you need there's no image or question

Answer:

answer is yes points thanks

Step-by-step explanation:

A triangle has side lengths of 5 units, 11 units and 6 units. Tell whether the triangle is a right triane

Answers

Answer:

triangle isn't right angled

Step-by-step explanation:

For a right tangled triangle :

Length of the longest side, hypotenus is given by :

Hypotenus = √(opposite² + adjacent ²)

From.the question :

Hypotenus = 11

Opposite and adjacent = 5 units and 6 units

Let's test :

Hypotenus = √(5² + 6²)

Hypotenus = √(25 + 36)

Hypotenus = √61 units

Hypotenus = 7.8

Hypotenus for a right angled triangle = 7. 8 units and not 11.

Hence, triangle isn't right angled

The ages of the winners of a cycling tournament are approximately? bell-shaped. The mean age is 36. The ages of the winners of a cycling tournament are approximately? bell-shaped. The mean age is 28. 2 ?years, with a standard deviation of 3. 5 years. Transform into a z score

Answers

Therefore , the solution of the given problem of median comes out to be

a)z-score = 1.50 b)age 34 has SD=1.5 and C. option B correct.

Specify median.

The value that exactly falls in the center of an ordered dataset is the median value. A central tendency measure or average is the difference between both the lowest and highest 50% of the data. The methods for calculating the median and mode vary according to whether you have had an odd or perhaps even number of data points.

Here,

Given : mean age is 36.

Standard deviation = 3.5

a) z - score = (34 - 28.3)/3.8 = 1.50

b) Interpretation:

An age of 34 is about 1.50 standard deviations above the mean.

c) Option B is correct.

Therefore , the solution of the given problem of median comes out to be

a)z-score = 1.50 b)age 34 has SD=1.5 and C. option B correct.

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Which expression is not equivalent to

Answers

Answer:

B i think I'm kinda sure tho

b

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