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Two sides and the non-included right angle of one right triangle are congruent to the corresponding parts of another right triangle. Which congruence theorem can be used to prove that the triangles are congruent?
AAS
SSS
SAS
HL

Answers

Answer 1

Since the congruent angle is a right angle and it is not included, the two congruent sides of the triangles must include their hypotenuses and one of their legs.The triangles would be congruent by the hypotenuse leg theorem, which states that if the hypotenuse and one leg of a right triangle is congruent to the hypotenuse and a leg of another right triangle, the triangles are congruent.Answer:hypotenuse leg theorem


Related Questions

No idea how to do this

Answers

Answer:

Add them together and you have your answer I think

Rohan used the model below to show
1.38 ÷ 3

Three groups of cubes are shown with 4 groups of tens and 3 ones in each group.

Part A
Rohan made an error in his model. Explain his error. Include the correct grouping for the model.

Answers

Three groups of cubes are shown with 4 groups of tens and 3 ones in each group is incorrect and 0.46is correct for 1.38 ÷ 3

What is Division?

A division is a process of splitting a specific amount into equal parts.

Rohan's model is represented as:

1.38 ÷ 3=0.43

The model is incorrect, and the correction is as follows:

Express 1.38 as 1.20 + 0.18

Now (1.20 + 0.18)÷ 3

(1.20÷ 3)+(0.18÷ 3)

0.4+0.06

0.46

Hence, the correct result of the model is 0.46

Hence Three groups of cubes are shown with 4 groups of tens and 3 ones in each group is incorrect and 0.46 is correct

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What is 2+2? I'm having a hard time figuring out this complex equation and cannot seem to find anybody who know it either. If your could send me a picture of the work on a doc or paper I would greatly appreciate it.

Answers

Answer:

Step-by-step explanation:

4

Answer:4

Step-by-step explanation: I have 2 apples and my friend gives me 2 more  it'll give me 4. Also you put up 2 fingers and and you add 2 more that will also give me 4.  

Emely bikes 6 3/4 mile today, and Sofia bikes 4 1/2 miles. What fraction Of the length of Emely bikes ride was Sofia’s bike ride?

Answers

The fraction of the length of Sofia's bike is 3/2 times longer that Emely's.

What is mixed fraction?

 A mixed fraction is one that has both its quotient and remainder represented. A mixed fraction like 2 1/3 is one where the remainder is 1 and the quotient is 2. Therefore, a mixed fraction is made up of both a whole number and a correct fraction.

To find how many times the length of Emely's ride is compared to Sofia's, you would divide the two mixed numbers:

=>6  3/4  divided by 4  1/2

Convert the mixed  numbers to improper fractions:

=>27/4  divided by 9/2

To solve, multiply 27/4 by the reciprocal of 9/2:

=>27/4 * 2/9 = 3/2  or 1 and 1/2

So Sofia's ride is 1.5 times longer than Emely's.

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Which is the correct notation for A is a subset of B?

Answers

The correct notation of A is a subset of B is A⊆B( option B)

What is a subset?

A set is a collection of objects or elements.Subsets are a part of one of the mathematical concepts called Sets, grouped in the curly braces, such as {a,b,c,d}.

The elements of sets could be anything such as a group of real numbers, variables, constants, whole numbers, etc. It consists of a null set as well.

If a set A is a collection of even number and set B consists of {2,4,6}, then B is said to be a subset of A, denoted by B⊆A and A is the superset of B.

Therefore the correct notation of A is a subset of B is A⊆B.

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Mike says he can use multiplication to table to find 5÷0 is he correct explain

Answers

Answer:

No you can't

Step-by-step explanation:

Because it doesn't fit the number catigorey

No you can not use the multiplication table

How many 5​-letter code words can be formed from the letters T, Q, G, E, B if no letter is​ repeated? If letters can be​ repeated? If adjacent letters must be​ different?

Answers

The number of codes that can be made using the 5 letters given is 120 as calculated using permutation and combination.

Now when no letters are repeated:

5 letter codes to be made.

Possible options for each space = 5

so first digit has 5 options, second digit has 4 options , third digit has 3 options , fourth digit has 2 options and the final digit will have only 1 option left.

So total number of codes = 5 × 4 × 3 × 2 × 1 = 120 codes

if letters can be repeated

5 letter codes to be made.

Possible options for each space = 5

so first digit has 5 options, second digit has 5 options , third digit has 5options , fourth digit has 5 options and the final digit will have only 5 options also.

So total number of codes = 5 × 5 × 5× 5× 5= 3125 codes

if adjacent letters cannot be repeated

5 letter codes to be made.

Possible options for each space = 5

so first digit has 5 options, second digit has 4 options , third digit has 4 options , fourth digit has 4 options and the final digit will have only 4 options also.

So total number of codes = 5 × 4 × 4× 4× 4 = 1280 codes

Hence the total number of codes as calculated by permutation and combination is 1280.

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A triangle is dilated by a scale factor of 5. How will this affect the perimeter and the area of the new image?

Answers

The area of triangle is 25.

and, The perimeter of triangle is 5.

Given,

In the question:

A triangle is dilated by a scale factor of 5.

To find the how will this affect the perimeter and the area of the new image?

Now, According to the question:

The perimeter of triangle is X + Y + Z, where X, Y, and Z are the sides.

So if we shrink all the sides by 5, we change the perimeter by 5.

However, because the area of the triangle involves 0.5 × Base × Height,

if we shrink all of the sides by 5, the area is shrunk by 5 * 5 (once for base, once for height).

Hence, The area of triangle is 25.

and, The perimeter of triangle is 5.

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Riley and her children went into a movie theater and she bought $51 worth of bags of popcorn and drinks. Each bag of popcorn costs $5 and each drink costs $6. She bought twice as many drinks as bags of popcorn. Determine the number of bags of popcorn and the number of drinks that Riley bought.

Answers

Solving a system of equations we can see that she bought 3 bags of popcorn and 6 drinks.

How many bags of popcorn and drinks she bought?

We can define the two variables:

x = number of bags of popcorn.y = number of drinks.

Knowing that each bag of popcorn costs $5 and each drink costs $6, and the total cost was $51, we can write:

x*$5 + y*$6 = $51

And we also know that she bought twice as many drinks as bags of popcorn, then:

y = 2x

So we have a system of equations:

y = 2x

x*$5 + y*$6 = $51

Replacing the first equation into the second one:

x*$5 + (2x)*$6 = $51

x*$17 = $51

x = $51/$17 = 3

So she bought 3 bags of popcorn and 2*3 = 6 drinks.

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Two parts: Make sure to answer EACH part:

1. What is the rate of change for each shop shown below?

2. Which shop has the GREATEST rate of change?

Answers

Rate of change for Carol's = 4.99

Rate of change for Wilma's:

line passes through (0, 0) and (2, 15)

slope = m = (15 - 0) / (2 - 0) = 7.5

Rate of change for Wilma's = 7.5

7.5 > 4.99

So Wilma's has the greatest rate of change.

Are points C, G, and H collinear or noncollinear?

Answers

Points C , G , and H are not Collinear.

Collinear Point:

                         Two or more points are said to be collinear, if they lie on the same straight line,whether they are close together, far apart, or form a ray, line segment, or line.

                                      In other words we can say Collinear points are the set of three or more than three points that lie on a single straight line.

Now,

       From given figure we can see all the three points C , G , and H are not lying on a single straight line or line segment. In fact GH and CG are different sides.

               So, points C , G , and H are not Collinear points.

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Complete the square to determine if the equation is a circle, quadratic (parabola) or other. Show all work and graph the circles and quadratics on a grid. A. 16^2 + 4^2 + 96 − 8 + 84 = 0

Answers

The conic equation 16 · x² + 4 · y² + 96 · x - 8 · y + 84 = 0 is equivalent to (x + 3)² / 4.75 + (y - 2)² / 19 = 1, that represents an ellipse.

How to derive the nature of a conical by algebraic means

Mathematically speaking, conics are described by quadratic equations of the form A · x² + B · y² + C · x + D · y + E = 0, where A, B, C, D, E are real coefficients of the conic.

We can infer if a conic is a circle, a parabola, an ellipse or a hyperbola by modifying the expression into its standard form by algebra properties. First, write the equation of the conic:

16 · x² + 4 · y² + 96 · x - 8 · y + 84 = 0

Second, complete the square in the equation of the previous step:

16 · (x² + 6 · x) + 4 · (y² - 2 · y) = - 84

16 · (x² + 6 · x + 9) + 4 · (y² - 2 · y + 4) = - 84 + 16 · 9 + 4 · 4

16 · (x² + 6 · x + 9) + 4 · (y² - 2 · y + 4) = 76

Third, factor the polynomial and simplify the expression until standard form is derived:

16 · (x + 3)² + 4 · (y - 2)² = 76

(x + 3)² / 4.75 + (y - 2)² / 19 = 1

The conic equation represents an ellipse.

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1. A landscaper can rent a backhoe for $45,000 a year. He could purchase the equipment for
monthly costs of $2,500 plus $20 for each hour it is used. How many hours per year must
the equipment be used to justify purchasing it rather than renting it?

Answers

The number of hours per year that the equipment be used to justify purchasing it rather than renting it is 2125 hours.

What is an expression?

It should be noted that an expression is used to illustrate the relationship between the variables.

Let the number of hours be illustrated as h.

The landscaper can rent a backhoe for $45,000 a year and he could purchase the equipment for

monthly costs of $2,500 plus $20 for each hour it is used.

This will be:

2500 + 20h = 45000

Collect like terms

20h = 45000 - 2500

20h = 42500

Divide

h = 42500 / 20

h = 2125

The number of hours is 2125 hours.

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Graph the linear inequality.
y >25x

Answers

Answer:mum

Step-by-step explanation: mom

2 + b ( a to the power of 2 + 4 ) when a =2 and b=4

Answers

Answer:

ez

Step-by-step-

ezzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answer:

34

Step-by-step explanation:

2+b(a^2+4)

2+4(2^2+4)

2+4(4+4)

2+4(8)

2+32

34

Hopes this helps please mark brainliest

calculate the area of the following triangle (round off answers to one decimal point)​

Answers

Answer:

Step-by-step explanation:

Since it is an isosceles triangle the opposite side of that with 35mm is equal to 35mm.

Area of triangle =. ½b x h

. =. ½ x 35 x 35

. = 612.5mm²

. =. 613mm²(1.d.p)

What is the acquisition cost?

Answers

Answer:

Acquisition cost refers to an amount paid for fixed assets, for expenses related to the acquisition of a new customer, or for the takeover of a competitor.

Order the numbers from least to greatest-10.1, 11/10, -101, -3n , 19/2

Answers

Answer:

The answer is -3n,10.1,11/10,19/2,-101 is the right answer form my side

What can polynomial identities apply to beyond just polynomials?
Please explain

Answers

Polynomial identities apply beyond just polynomials by replacing the variables with numbers to create a numerical expression.

What is Polynomial?

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables

A polynomial identity is an equation that helps us to easily solve expressions involving larger exponents and numbers. Generally, polynomial identities are used for the expansion of the expression, by breaking down the expression into simpler units.

Polynomial identities apply beyond just polynomials by replacing the variables with numbers to create a numerical expression.

Hence, Polynomial identities apply beyond just polynomials by replacing the variables with numbers to create a numerical expression.

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Which of the following is an advantage to using equations?

A. You can forget what an equation represents when it is used by
itself.

B. Every problem needs an equation if you want to solve it.

C. When given two names for the same quantity can use algebra
to solve the equation.

Answers

If two names are given for the same quantity then we can use algebra

to solve the equation thus option (C) is correct.

What is the equation?

There are many different ways to define an equation.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

In another word, the equation must be constrained with some constraints.

If we have a problem in word formate.

And the same quantity is used two times with two different names.

Then by algebra, the variable defines the quantity remains the same but the value of the variable changes according to the given value.

By this the problem can be easily solved.

Hence "If two names are given for the same quantity then we can use algebra to solve the equation".

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Express the confidence interval 653.1 ± 130.3 in interval form.

Answers

The confidence interval form of the given question will be (783.4,522.4).

What is a confidence interval?

A confidence interval (CI) in frequentist statistics is a range of estimates for an unknown parameter. A confidence interval is calculated at a specified degree of confidence; the most popular level is 96%, but other values, such 90% or 99%, are occasionally used. The confidence level is the percentage of corresponding CIs over the long run that actually contain the parameter's true value. As an illustration, 96% of all intervals produced at the 96% level should have the parameter's actual value.

Here this question, it is given in the interval form.

Now we can find out the minimum and maximum value of the value.

Maximum value is 653.1+130.3 = 783.4

Minimum value is 653.1 - 130.3 = 522.4

So The confidence interval can be written as (783.4,522.4).

Hence the answer will be (783.4,522.4).

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The perimeter of a rectangle is 48 centimeters. The relationship between the length, the width, and the perimeter of the rectangle can be described with the equation .

Find the length, in centimeters, if the width is:

1. 10 centimeters

2. 3.6 centimeters

3. centimeters

Answers

The length, in centimeters of the rectangle if the width is:

1. 10 centimeters

L = 14 cm

2. 3.6 centimeters

L = 20.4 cm

How to find the length of the rectangles

The perimeter of a rectangle is given by the formula

P = 2( Length, L + width, w)

P/2 = L + w

L = P/2 - w

Perimeter is given to be 48, L is solved below

at w = 10 centimeters

L = 48/2 - 10 = 14 cm

at w = 3.6 centimeters

L = 48/2 - 3.6 = 20.4 cm

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A and b are complimentary angles. A=(7x+18) and b=(5x-12), then find the measure of a

Answers

Answer:

[tex]x=\frac{37}{6} \\[/tex]

Step-by-step explanation:

Since A and b are complimentary angles There sum is equal to 90°

In other words:

We know A = (7x+18)  and b = (5x-12)

Next, insert these values into the equation (A+ b = 90°):

[tex](7x+18) + (5x-12)=90[/tex]

Drop the () since we are not multiplying anything

[tex]7x+18 + 5x-12=90[/tex]

Combine like terms: 7x and 5x, 18 and-12

[tex]7x +5x +18-12=90\\\\12x+ 16=90\\[/tex]

Subtract 16 from both sides of the equation

[tex]12x=74\\[/tex]

Divide by 12 and get:

[tex]x=\frac{37}{6} \\[/tex] or [tex]x=6.16666...[/tex]

Hope this helps :)

Is r = 10 a solution to the equation 3 (r+5) + 55?

Answers

The value of the expression 3(r+5) when r = 10 is 100

Algebraic Expression

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

In this problem, we are to substitute the value of r which is 10 int the expression.

3(r + 5) + 55 = 3(10 + 5) + 55 = 3(15) + 55 = 45 + 55 = 100

The expression is equal to 100.

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Find the quotient. 5 divided by 1/4 thanks

Answers

Answer:

20

Step-by-step explanation:

we turn 5 into a fraction to make it easier

[tex]\frac{5}{1}[/tex]÷[tex]\frac{1}{4}[/tex]

Now to figure it out we keep the first fraction 5/1 the same and then flip the second one 1/4 to make it 4/1 and multiply

[tex]\frac{5}{1}[/tex]×[tex]\frac{4}{1}[/tex]

[tex]\frac{20}{1}[/tex]

20

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A sample with the sample proportion of 0.4 and which of the following sizes will produce the widest 95% confidence interval when estimating the population parameter?

A. 45
B. 35
C. 55
D. 65

Answers

The size 50 will produce the widest 95% confidence interval when estimating the population parameter.

What is a confidence interval for population standard deviation?

It is defined as the sampling distribution following an approximately normal distribution for a known standard deviation.

It is given that, a sample with the sample proportion of 0.4 and which of the following sizes will produce the widest 95% confidence interval.

The margin of error provides an estimate of the percentage of errors in real statistical data.

The formula for finding the MOE:

[tex]\rm MOE = Z\times \dfrac{s}{\sqrt{n}}[/tex]

Where,

Z is the z-score at the confidence interval

s is the standard deviation

n is the number of samples.

An interval is broader the bigger the margin of error.

The margin of error reduces with increasing sample size. The smallest confidence interval should be chosen if we want the widest possible interval.

Thus, the size 50 will produce the widest 95% confidence interval when estimating the population parameter.

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Answer:

B. 35

Step-by-step explanation:

I got it correct :D

Which associations best describe the scatter plot?

Select each correct answer.


Select 2 correct answer(s)
Question 5 options:

Positive association


Nonlinear association


Linear association


Negative association

Answers

The associations that best describe the scatter plot is Option A and C

Positive associationLinear associationWhat characteristics mark a strong connection?

When below-average values also tend to occur together and above-average values of one variable tend to be accompanied by below-average values of the other, there is a positive association between the two variables. When the average values of two variables tend to be below average, two variables have a negative connection.

Note that a statistical term used to describe a straight-line relationship between two variables is a linear relationship (or linear association).

Additionally, a straight line connecting the spots indicates a linear association. As a result, the scatter plot indicates that as practice time increases,  giving off also rise.

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The association that describe the scatter plot is

Positive associationLinear association

What is scatter plot ?

A set of dots plotted on a horizontal and vertical axis is known as a scatter plot. Because they can demonstrate the degree of connection, if any, between the values of observed quantities or events (called variables).

The connection is positive if the variables tend to rise and fall together. When one variable tends to rise while the other falls, there is a negative connection.

The connection between the variables demonstrates a straight line in the positive direction. hence the option having linear and positive association is the correct choice

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For the following image, find the measure of b:

(ONLY type your numerical answer. Round the the hundredths place.)



Side b =

Answers

Answer:

3.73 (m)

Step-by-step explanation:

b = 8 * tan (25)

b = 8 * 0.466308

b = 3.730461


A camera has a listed price of $722.95 before tax. If the sales tax rate is 9.75%, find the total cost of the camera with sales tax included.
Round your answer to the nearest cent, as necessary.

Answers

The total cost of the camera with sales tax included is $793.44

The listed  price of camera = $722.95

The sales tax rate = 9.75%

The amount of tax = The listed  price of camera × (The sales tax rate / 100)

Substitute the values in the equation

The amount tax = 722.95 × (9.75 / 100)

Divide the terms first

= 722.95 × 0.0975

Multiply the terms

= $70.49

The cost of the camera including tax = The listed  price of camera + The amount tax

Substitute the values in the equation

= 722.95 + 70.49

= $793.44

Hence, the total cost of the camera with sales tax included is $793.44

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I don’t understand these sort of questions I need help please

Answers

Answer:

Step-by-step explanation:

Make the subject of 6x = t

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