Given δxyz ≅ δegf, find the measurements of the unknown sides and angles. zx = in. eg = in. m∠x = ° m∠g = °

Answers

Answer 1

The measure of the given sides and angles are,

1) ZX = 1.3 inch

2) EG = 3.0 inch

3) m ∠ X = 48°

4) m ∠G = 25°

What is congruent triangles?

If the three sides and the three angles of both angles are equal in any orientation, two triangles are said to be congruent.

Given: ΔXYZ ≅ ΔEGF

Because the triangles are assumed to be congruent, their corresponding angles and sides must have similar measurements and lengths.

a. ZX = _ in

ZX's length is the same as FE's length. Therefore, the length should be 1.3 inches.

b. EG = _ in

EG's length is the same as XY's length. The figure indicates that the answer should be 3.0 in.

c. m ∠X = _ °

Angle E and angle x should both have the same measure. This is stated to be 48 degrees.

d. m ∠G

Angle Z's measurement is the same as angle F's measurement.

In that case, 107° should be the value assigned to angle F.

Angle E in the triangle to the right measures 48°, while angle F measures 107°.

the sum of these angles is subtracted from 180°.

The angle G's measure, which is equal to 25°.

Hence,

1) ZX = 1.3 inch

2) EG = 3.0 inch

3) m ∠ X = 48°

4) m ∠G = 25°

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Complete question:

Complete question is attached below.

Given Xyz Egf, Find The Measurements Of The Unknown Sides And Angles. Zx = In. Eg = In. Mx = Mg =

Related Questions

Lucas, Mason, Logan, and Jayden have 5 grapefruits. They want to share them equally. How much grapefruit will each person get?​

Answers

i believe it is 5/4 grapefruit

another form would be 1 1/4

A statistic summarizing the strength of association between two metric variables is called the ________.
A) product moment correlation
B) covariance correlation
C) inverse correlation
D) bivariate correlation
E) F-statistic

Answers

A statistic summarizing the strength of association between two metric variables is called the product moment correlation.

The Pearson product-moment correlation coefficient also known as Pearson’s correlation is a measure of the linear relationship between two variables/measures/questions, in other words, the Pearson product-moment correlation coefficient is a measure of the direction and strength of association that exists between two metric variables measured on at least an interval scale.

A product-moment correlation attempts to draw a line of best fit through the data of two variables, and the Pearson correlation coefficient illustrates how far away all these data points are from the best fit line. Product-moment correlation quantifies the strength as well as the direction of correlation.

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Simplify the expression.
2.4-5.4n3n+6
...
2.4-5.4n-3n+6=
(Simplify your answer. Use integers or decimals for any numbers in the expression.)

Answers

Answer:

8.4-16.2n²

Step-by-step explanation:

2.4-5.4n3n+6

= 2.4-16.2n²+6

= 8.4-16.2n²

The area of the Okhotsk Sea is 1.583 × 10^6 km^2. The area of the Indian Ocean is 7.3556 × 10^7 km^2. Find the total area. Write the final answer in scientific notation with the correct number of significant digits.

8.9386 × 10^13 km2
8.939 × 10^13 km2
7.5139 × 10^7 km2
7.514 × 10^7 km2

Answers

The total area will be;

⇒ 7.514 × 10⁷ km²

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The area of the Okhotsk Sea is 1.583 × 10⁶ km².

And, The area of the Indian Ocean is 7.3556 × 10⁷ km².

Now,

Since, The area of the Okhotsk Sea is 1.583 × 10⁶ km².

And, The area of the Indian Ocean is 7.3556 × 10⁷ km².

Hence, The total area = 1.583 × 10⁶ + 7.3556 × 10⁷

                                  = 1.583 × 10⁶ + 73.556 × 10⁶

                                  = 75.14 × 10⁶

                                  = 7.514 × 10⁷ km²

Thus, The total area will be;

⇒ 7.514 × 10⁷ km²

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47 page 28 math monde svp

Answers

Answer:

Step-by-step explanation:

Can you explain more please?

Drag each expression to the correct location in the equation. not all expressions will be used. determine the two rational expressions whose difference completes this equation.

Answers

The two found rational expressions with the difference that completes the equation is  (x + 2)/(x² - 36) and 1/(x² + 6x).

Explain the term rational expressions?The ratio of 2 polynomials is a rational expression. F can be expressed in the form p/q, where q and p are polynomials, if f is a rational expression.

Consider the two rational expressions.

(x + 2)/(x² - 36)    ...eq 1

and 1/(x² + 6x)   ....eq 2

Subtract the second from the first.

=  [(x + 2)/(x² - 36)] - [1/(x² + 6)]

Factorise the denominator of the first equation-

= [(x + 2)/(x + 6)(x - 6)] - [1/(x(x + 6)]

Taking the LCM

= [x(x + 2) - (x - 6)]/[x(x + 6)(x - 6)]

Further simplifying,

= [x² + x + 6]/[x(x-6)(x + 6)]

Thus, the two found rational expressions with the difference that completes the equation is  (x + 2)/(x² - 36) and 1/(x² + 6x).

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The complete question is-

Drag each expression to the correct location in the equation. Not all expressions will be used.

Determine the two rational expressions whose difference completes this equation.

x² + x + 6

x(x-6)(x + 6)

(1 point) 5 dice of different colors are rolled, and the number coming up on each die is recorded. how many different outcomes are possible?

Answers

The number of total different outcomes are, 7,776.

What is rolling dice?

Every face of a cube known as a dice has a unique number.

By throwing a dice into the air, players can advance in any game by getting a certain number. Typically, this dice or dice has numbers from 1 to 6 written on each face or side of the cube-like shape.

Given:

Discrete 5 dice of different colors are rolled, and the number coming up on each dice is recorded.

Since all the dice are of different colors.

So any combination of the numbers on the dice is unique.

Dice has numbers 1 to 6.

So, for each dice there are 6 possibilities.

Since number coming on a dice is independent to the number coming on the another dice.

So, total different outcomes are = 6 x 6 x 6 x 6 x 6 = 6^5 = 7776.

Hence, the number of total different outcomes are, 7,776.

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a fence must be built to enclose a rectangular area of 20,000square feet. fencing material costs 3 per foot for the twosides facing north and south and 6 per foot for the other twosides. find the cost of the least expensive fence

Answers

A fence surrounding the field that is 200 feet long and 100 feet wide will cost $2400 to construct.

What is area?

The measurement that indicates the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina.

Here,

Area of rectangle=20,000 square feet

Cost of building fence for north and south=$3 per feet

Cost of building fence for east and west=$6 per feet

Let the sides be x and y,

area=x*y

20000=xy

y=20000/x

Perimeter=2l+2b

=2(x+y)

Total cost will be,

=3*2x+6*2y

=6x+12y

C=6x+12*20000/x

C=6x+240000/x

dC/dx=6-240000/x²

dC/dx=0

6=240000/x²

6x²=240000

x²=40000

x=200 feet

y=100 feet

C=6*200+12*100

C=$2400

The cost of building a fence around the field of length 200 feet and width 100 feet is $2400.

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Work with a partner. Supercooling is the process of lowering the temperature
of a liquid or a gas below its freezing point without it becoming a solid. Water
can be supercooled to 86°F below its normal freezing point (32°F) and still
not freeze.

a. Let x represent the temperature of water. Which inequality represents the
temperature at which water can be a liquid or a gas? Explain your reasoning.

Answers

Even when water is supercooled to 86 degrees Fahrenheit below its normal freezing point (32 degrees Fahrenheit), it will not freeze. Therefore, x-32≥-86

Define supercooling.

The process of lowering a liquid or gas's temperature below its melting point without causing it to solidify is known as supercooling, sometimes known as undercooling. It accomplishes this in the absence of a seed crystal or nucleus around which a crystal structure can form.

Let temperature be x

The temperature at which water turns into a liquid or a gas is represented by inequality is x-32≥-86

The reason is that as water will not freeze even when supercooled to 86°F below its typical freezing point (32°F).

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a recent survey reported that small businesses spend 24 hours a week marketing their business. a local chamber of commerce claims that small businesses in their area are not growing because these businesses are spending less than 24 hours a week on marketing. the chamber conducts a survey of 58 small businesses within their state and finds that the average amount of time spent on marketing is 22.7 hours a week. assuming that the population standard deviation is 6.1 hours, is there sufficient evidence to support the chamber of commerce’s claim at the 0.02 level of significance?

Answers

chamber of commerce’s claim at the 0.02 level of significance, z = -1.75

What is z test?

If the data is distributed normally, a z test can be used to determine whether the means of two populations differ from one another. The z test statistic's value must be determined, together with the null hypothesis and alternative hypothesis setups, for this reason. On the z critical value, the decision criterion is based. The distribution graph is divided into acceptance and rejection zones during hypothesis testing by the z critical value. The null hypothesis can be rejected if the test statistic lies inside the rejection region; otherwise, it cannot.

a recent survey reported that small businesses spend 24 hours a week marketing their business.

these businesses are spending less than 24 hours a week on marketing. the chamber conducts a survey of 58 small businesses within their state and finds that the average amount of time spent on marketing is 22.7 hours a week.

assuming that the population standard deviation is 6.1 hours.

Given n = 93, u =24, x' = 23, α=5.5

z = x'- u / α(/√n) = (23-24/5.5/√5) = -1.75

Hence, chamber of commerce’s claim at the 0.02 level of significance, z = -1.75

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-4-5(x+8) please hurry!! WITH EXPLINATION!

Answers

Answer:

- 5x - 44

Step-by-step explanation:

-4 - 5(x + 8)

Distribute the -5 to the terms in parenthesis:

-4 - 5x - 40

combine numbers:

- 5x - 44

at the homecoming game, cheerleaders will throw 100 bundled t-shirts into the crowd. the t-shirt sizes consist of 20 small, 30 medium, and the remainder either large or extra large. suppose you catch a t-shirt. what is the probability that you will catch a t-shirt that is not a size medium?

Answers

The probability that you will catch a t-shirt that is not of medium size would be 0.7

What is the probability?

Probability is a branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely a proposition is to be true. The probability of an event is a number between 0 and 1, where 0 indicates the event's impossibility and 1 indicates certainty.

Small=S=20, M=medium=30,

L = Either large or extra large=50

P(T-shirt that is not a medium)= 1 - P(T-shirt is medium)

                                           = 1 - 30/100

                                           = 1 - 0.3

                                           = 0.7

Hence, the probability that you will catch a t-shirt that is not of medium size would be 0.7

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What is the minimum number of different résumé formats that an individual should have prepared? a. 1 b. 2 c. 3 d. 4 please select the best answer from the choices provided a b c d

Answers

(B) 2 separate resume formats should be the absolute minimum number that someone should have created.

What is a résumé?

A résumé, also known as a curriculum vitae (CV), is a written statement that a person uses to describe their educational history, professional experience, and accomplishments.

Although there are many uses for resumes, they are most frequently employed to find new jobs.

A standard résumé includes a "summary" of relevant educational background and work history.

So, a condensed format should be used for the first.

One page should be plenty for a good resume.

However, a two-page format might be employed when things are crammed onto one page.

For extra information about yourself, utilize a two-page format.

Typically, we submit the streamlined version before our interview.

In order to give the interviewer access to extra material, we might demonstrate our extended format during the interview.

Therefore, (B) 2 separate resume formats should be the absolute minimum number that someone should have created.

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Correct question:
What is the minimum number of different résumé formats that an individual should have prepared?

a. 1

b. 2

c. 3

d. 4

How do you decide which variable to isolate in order to
use the substitution method to solve a system of linear
equations?
Intro

Answers

Answer:

Step-by-step explanation:

it depends on the vaiable you choose to cancel out first. For example, if I had two equations:

-12x+9y=7

9x-12y=6

if you wanted first eliminate the x values, then you distribute a certain number to either equation that will cause the x values to cancel (one being negative, and the other being positive)

What kind of triangle has angles 60°, 60°, and 60°?

Answers

Answer:

equilateral triangle

Step-by-step explanation:

all of the sides to a equilateral triangle equal to 60 degrees.

a statistics teacher started class one day by drawing the names of 10 students out of a hat and asked them to do as many pushups as they could. the 10 randomly selected students averaged 15 pushups per person with a standard deviation of 9 pushups. suppose the distribution of the population of number of pushups that can be done is approximately normal. if we would like to capture the population mean with 95% confidence the margin of error would be .

Answers

The true mean number of pushups that can be performed, as determined by the t-distribution, is within a 95% confidence interval of (9, 21).

Since we know the sample standard deviation for this issue, the t-distribution is applied.

Given,

The sample mean, x = 15 .

The sample standard deviation, s = 9 .

The sample size, n = 10 .

As a result, df = 9. Next, we determine the number of degrees of freedom, which is one less than the sample size.

The crucial value for a 95% confidence interval is then determined by looking at the t-table or using a calculator, yielding t = 2.2622.

The margin of error;

M = t × s/n

Then,

M = 2.2622 × 9/√10 = 6

The confidence interval is:

x ± M

Then

x - M = 15 - 6 = 9

x + M = 15 + 6 = 21

Therefore,

The confidence interval is (9, 21).

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whats the answer for shrinking -12(5/6x-5)+2x

Answers

Answer: 12x-60

Step-by-step explanation:

-12 x 5/6 = 10

-12 x 5 = -60

10x-60+2x

12x-60

help on photo Mathematics

Answers

Answer:

B. 48

Step-by-step explanation:

plug in the value of h into the expression and simplify from there

I want to know how to do this problem​

Answers

Answer:

Step-by-step explanation: k = 25

The answer would be “ k is equal to 25

A lottery offers one $900 prize, one $600 prize, three $400 prizes, and four $100 prizes. One thousand tickets are sold at $5 each. Find the expectation if a person buys five tickets. Assume that the player’s ticket is replaced after each draw and that the same ticket can win more than one prize. Round to two decimal places for currency problems.
The expectation if a person buys five tickets is $____.

Answers

The Expected value for 4 tickets = $ 7.6

Given - A lottery offers one $900 prize, one $600 Prize, three $400 prizes, and four $100 prizes. One thousand tickets are sold at $5 each.

To find - Find the expectation if a person buys four tickets. Assume that the player's ticket is replaced after each draw and that the same ticket can win more than one prize. Round to two decimal places for currency problems.

Proof -

Given that,

A lottery offers

one $ 900 prize

one $ 600 prize

three $ 400 prizes

Four $ 100 prizes

And

One thousand tickets are sold at $ 5 each

Now,

If the person bought 1000 tickets then the prize he gets is

= 900 + 600 + 3×400 + 4×100

= 900 + 600 + 1200 + 400

= $3100

And

The cost of 1000 tickets = 5×1000 = $ 5000

Now,

Price 1 ticket =   $ 3.1

⇒Expectation of 1 ticket = 5 - $ 3.1  = $ 1.9      (Here $5 is price of 1 ticket)

⇒Expected value for 4 tickets = $ 4× -1.9 = $ 7.6

Expected value for 4 tickets = $ 7.6

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The star Sirius is more than 4 light years farther from Earth than the star
Proxima Centauri. Write an inequality that represents the distances of Sirius
and Proxima Centauri from Earth.

Answers

Answer:

dS > dC + 4 LY

edit: I did this, but im curious on what other ppl would find

In 2006, in Canada, 7.4 million out of 31.4 million of canadians said they spoke french.

Between 2006 and 2011, Canada's population went up 6%, and the number of canadians speaking french went up 300 000.

Did the pourcentage of french-speaking canadians go up or down between 2006 and 2011?

Answers

The percentage of French-speaking Canadians went down between 2006 and 2011.

What is percentage?

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

In 2006, in Canada, 7.4 million out of 31.4 million of canadians said they spoke french. The percentage will be:

= 7.4/31.4 × 100

= 23.6%

Since Canada's population went up 6%, the bee population will be:

= 31.4 million × (6% × 31.4 million)

= 33,284,000

The number of Canadians speaking french went up 300 000.

The percentage will be:

= 7,700,000/33,284,000 × 100

= 23%

Therefore, the percentage reduced.

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A plant is already 55 centimeters tall, and it will grow one centimeter every month. The plant's height, (in centimeters), after months is given by the following.H=55+m What is the plant's height after 34 months? PLEASE HELP

Answers

The plant's height after 34 months will be 89cm if the plant is already 55 centimeters tall.

What is meant by height?

Height is defined in mathematics as the vertical distance from the object's top to its base. It is occasionally referred to as 'altitude.' The term height in geometry refers to the measurement of an object along the y-axis in coordinate geometry.

Height and elevation all refer to the vertical distance between the top and bottom of something or between a base and anything above it. Height refers to something measured vertically, whether it be high or low.

Given, the relation between the height and the months is:

H(m)=55+m

Now, we have to find the height of the plant after 34 months.

So, we substitute m=34 in the expression to obtain height,

H(m)=55+m

H(34)=55+34

H(34)=89cm

Hence the height will be 89cm

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uuuhhhmmmm i need help with 2 work sheets called dizzy over decimals multiplying decimals and dizzy over decimals dividing decimals so can someone find those and give me written answers worked out

Answers

send pictures of the problems you need help on!

Solve the system of equation.
4x-3y=-9
3x+2y=-11

Answers

Answer:

x = 51

y = -82

(51, -82)

Step-by-step explanation:

Look at the attachment

If a box of crackers is $3 for 2 boxes of crackers then how much Is it per box?

Answers

one dollar and 50 cents

The length of the rectangle is 5 cm less than twice it’s width.the area of the rectangle is 42 cm^2. What is the width of the rectangle

Answers

Answer: Could be 7.

Step-by-step explanation:

-7x + 4y = 24
4x - 4y = 0
solve by substitution - please add explanation and work

Answers

Answer:

(-8, -8)

Step-by-step explanation:

You need to solve one of the equation for x or y.  I am going to solve the bottom equation for x

4x -4y = 0  Add 4y to both sides

4x = 4y  Divide both sides by 4

x = y  Substitute y in for x in the first equation

-7x + 4y = 24

-7y + 4y = 24  Combine like terms

-3y = 24  Divide both sides by -3

y = -8

Since x = y

x = -8

Check:

-7y + 4y = 24

-7(-8) + 4(-8) = 24

56 - 32 = 24

4x - 4y = 0

4(-8) - 4(-8) = 0

-32 + 32 = 0

0 = 0

the scores on a standardized test have an average of 1200 with a standard deviation of 60. a sample of 50 scores is selected. what is the probability that the sample mean will be greater than 1205? round your answer to three decimal places.

Answers

the scores on a standardized test have an average of 1200 with a standard deviation of 60 and 99.7% of the students scored between (44.67 , 56.33) i.e.

between 44 and 56.

On Subtracting 1 from your sample size, we get

100 – 1 = 99.

On Subtracting confidence level from 1, and then divide by two.

(1 – .997) / 2 = 0.0015

Now, df = 99 and α = 0.0015

from the table at df = 99 we got 2.262.

Divide your sample standard deviation by the square root of your sample size.

28 / √(100) = 2.8

Now, 2.262 × 2.8 = 6.33

So, the confidence interval be,

(100 - 6.33 , 100 + 6.33) = (44.67 , 56.33)

Hence, 99.7% of the students scored between (44.67 , 56.33) i.e.

between 44 and 56.

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suppose that the cash flow, in dollars , for a pharmacy are normally distributed with an unknown mean and standard deviation. the cash flow of 40 randomly sampled pharmacies are used to estimate the mean of the population. what t-score should be used to find the 80% confidence interval for the population mean?

Answers

The t-score should be used to find the 80% confidence interval for the population mean is $1.304

the interval of confidence:  This indicates the degree of confidence and ambiguity in a sampling process. It provides us with a range of outcomes, indicating that we would be reasonably certain that our genuine value or variable falls inside the range.

The sample size was 40 pharmacies (n=40). To calculate the degrees of freedom, use the formula: df=n-1=40-1=39.

The scenario specifies an 80% confidence level. So,α=1−CL=1−0.8=0.2 However, we wish to utilize the value for 2, which would be 0.22=0.1. We ought to locate the row for 39 freedom degrees and the column for t0.1 using the table. So the t-score for determining the 80% confidence interval is 1.304. We may alternatively use a calculator and enter 1-α2=0.9 as well as the degrees of freedom into invT, and then enter invT. (0.9,39).

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