Which triangle congruence postulate or theorem proves that these triangles are congruent?

The given expression is :

Factorize the expression :

Find the pair of number such that : the product of two numbers are equal = (-10)

and thier summation is equal to 3

i.e. 5 x ( -2) = -10 and 5 + (-2) = 3

So,

Take x common from the first two terms and (-2) from last two terms :

Now equate each factor with zero :

Answer : C) x = -5, 2

You have the following function:

Take into account that if the expression for the numerator has the same degree that the expression at the denominator, the horizontal asymptote is given by the quotient between the leading coefficient of each polynomial.

In this case, leading coeffcicient of numerator is 5 and from the denominator we get a leading coeeficient equal to 1.

Then, the horizontal asymptote is:

y = 5/1 = 5

consider two points closest to the line. say ,

let us find the slope, m by the formula

subsitute the points in the formula,

let us find the y - intercept.

subsitute the one of the point (6,0) in the above equation.

thus,

subsitute m= 1/2 and b = - 3 in the equation (1),

Rounding each number to the nearest ten:

• 96 = 100

• 63 = 60

• 27 = 30

• 76 = 80

Sum with rounded numbers:

Answer = 270

GIven:

Required:

We need to find the equivalent expression

Explanation:

let

now just we need to check that which square is 72

1)

2)

3)

4)

5)

6)

Final answer:

are equivalent to given expression

Given:

rate (r) = 5.4% or 0.054 in decimal form

Principal (P) = $3,000

time in years (t) = 3 years

number of conversions per year (m) = 12 (because it says monthly)

Find: future value or maturity value

Solution:

The formula for getting the future value of a compound interest is:

Let's plug in the given data to the formula above.

Then, solve for F or future value.

Answer: After 3 years, the deposited money will become $3, 526.30.

Answer:

Step-by-step explanation:

I hope this helps! :) If it does could you please mark me brainliest?

Answer:

Slope : -1

y = intercept : (0,31)

Step-by-step explanation:

3.75 ft and 1.25 ft

Explanation

Step 1

Diagram

Step 2

set the equations

let x represents the longest piece

lety represents the smaller piece

so

a)A carpenter cuts a 5-ft board in two pieces, hence

b)One piece must be three times as long as the other,then

Step 3

finally, solve the equations:

a) replace the x value from equation (2) into equation(1)

b) now, replace the y value into equation (2) to find x

therefore, the lengths of the pieces are

3.75 ft and 1.25 ft

I hope this helps you

According to the even and odd function rules, we found out that the function [tex]y=x^{3}-3[/tex] is neither even nor odd and the function [tex]y=2x^{3}-x[/tex] is an odd function.

It is given to us that the functions are -

B. [tex]y=x^{3}-3[/tex]

C. [tex]y=2x^{3}-x[/tex]

We want to determine each of the following functions is even, odd or neither.

To see if the function is even, we have to check if [tex]f(-x)=f(x)[/tex]

To see if the function is odd, we have to check if [tex]f(-x)=-f(x)[/tex]

B. Here, we have

[tex]y=x^{3}-3\\= > f(x)=x^{3}-3\\= > f(-x)=(-x)^{3}-3\\= > f(-x)=-x^{3}-3[/tex]

We see that [tex]f(-x)\neq f(x)[/tex]. This implies that the function is not even.

Also, [tex]f(-x)\neq -f(x)[/tex]. This implies that the function is not odd.

Therefore, this function is neither even nor odd.

C. Here, we have

[tex]y=2x^{3}-x\\= > f(x)=2x^{3}-x\\= > f(-x)=2(-x)^{3}-(-x)\\= > f(-x)=-2x^{3}+x[/tex]

We see that [tex]f(-x)\neq f(x)[/tex]. This implies that the function is not even.

However,

[tex]f(-x)=-2x^{3}+x\\= > f(-x)= -(2x^{3}-x)\\ = > f(-x)=-f(x)[/tex]

This implies that the function is odd.

Therefore, this function is odd.

Thus, the function [tex]y=x^{3}-3[/tex] is neither even nor odd and the function [tex]y=2x^{3}-x[/tex] is an odd function.

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Step 1

Given;

Step 2

Draw the diagram

Step 2

Calculate the measure of angle PQR

This is because using alternate exterior angles are equal theorem, the first part of angle Q 58 degrees. Since R is due east of Q, then the other part must be 90 degrees, when summed we get 148 degrees

Step 3

Calculate the distance PR. To do this we will use the cosine rule

Step 4

Calculate the bearing of P from R.

Use sine rule and find angle R

The bearing of P from R = (90-angle R)+90+90=250 degrees approximately to the nearest whole number

The bearing of P from R =250 degrees approximately to the nearest whole number

In this problem

the distance traveled between the seconds t=1 and t=3 is given by

The answer is

Explanation of integrals

In this problem we have

substitute

Let's graph the given inequality:

As we can see, it matches graph A from the options we were given.

The simplified form of given expression 2n^3 y−8n^2 y/3y^4 * 12/n-4 is 8n^2/y^3

In this question, we have been given an expression.

2n^3 y−8n^2 y/3y^4 * 12/n-4

We need to simplify given expression.

2n^3 y − 8n^2 y/3y^4 * 12/n-4

= [2n^2y (n - 4)] / 3y^4  *  12/(n - 4)

= 4 * (2n^2y)/y^4

= 8n^2/y^3

Therefore, the simplified form of given expression 2n^3 y−8n^2 y/3y^4 * 12/n-4 is 8n^2/y^3

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Answer:

51.28%

Step-by-step explanation:

since the test is worth 60% of your grade, the rest is worth 40%

calculate your new grade by multiplying each grade percent (as written) by the percent of your grade (as a decimal):

   77.2(0.4) = 30.88

   34(0.6) = 20.4

then add them together: 30.88 + 20.4

SOLUTION

Write out the expression

Recall that

Replace into the expression above

Hence

Therefore

The first option is Right

In order to determine the number of nachos and lemonade sold, you first write the given situation in an algebraic way.

If x is the number of nachos and y the number of lemonades, then, you have:

2.50x + 2.25y = 112.50 cost of the nachos and lemonade sold

x + y = 94 nachos and lemonade sold

Next, solve the previous system.

Multiply the second equation by 2.50. Next, subtract the equation to the first one:

(x + y = 94)(2.50)

2.50x + 2.50y = 235

2.50x + 2.25y = 112.50

-2.50x - 2.50y = -235

-0.25y = -122.5

solve the previous equation for y:

y = -122.5/(-0.25)

y = 490

Next, replace the previous value of y into the expression x + y = 94 and solve for x:

x + y = 94

x + 490 =

Factor out 2 on both numerator and denominator

Part 2:

Since the given expression is in fraction, we cannot let the denominator equal to zero. Find values of y that makes the denominator by zero

Input data

The triangles created by the measurements of options A, B and D have specific side lengths. Therefore, you cannot create more than one triangle.

However, for a triangle with acute angles measuring 45° and 45°, a countless number of similar triangles (triangles with the same shape but different sizes) can be created.

The correct choice is C.

We would have to use the division (and/or multiplication) property in order to solve, and that would be:

ANSWER

EXPLANATION

Given information

The total number of junior students = 2

The total number of senior students = 3

The total number of students = 5

To determine the probability of picking two junior students, follow the steps below

Step 1: Define probability

Step 2: Find the probability of picking the first junior students

Assuming the first picking was successful, then, we will be left with 1 junior student and 3 senior students.

Therefore, the new total outcome can be calculated below

1 + 3 = 4 students

Step 3: Find the probability that the second picking will be a junior student

Step 4: Find the probability that both students are junior students

Hence, the probability that both students selected are juniors is 1/10

ANSWER

EXPLANATION

For 1 assembler, it will take;

For 8 assemblers;

Substitute R

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

total patients = 300

type A:

total patients = 90

favourable patients = 27

type B:

total patients = 124

favourable patients = 31

type AB:

total patients = 6

favourable patients = 6

type O:

total patients = 80

favourable patients = 0

Step 02:

empirical probability:

probability = favourable outcomes / total outcomes

probability (A) = 27/ 90 = 0.3

probability (B) = 31 / 124 = 0.25

probability (AB) = 6 / 6 = 1

probability (O) = 0 / 80 = 0

That is the full solution.

Given data:

The given figure is shown.

The expression for the trapezium is,

Thus, thi

Let the units place digit be U and the tens place digit be T.

The number N is given by:

The number K is given by:

It is given that N is even that means U can be only from 0,2,4,6,8.

It is also given that N exceeds K by more than 50 so it follows:

So it can be said that:

Since the value of T-U will always be an integer and it should be greater than or equal to 6.

The number T can be 1 to 9 and U can be only 0,2,4,6,8 so it follows:

Hence the possible values for integer N are 90,92,80,70,60,82 and the respective integer K will be 09,29,08,07,06,28.

In all cases the difference is more than 50 as you can check.

Step 1:

Write the formula for the equation of a circle.

Step 2:

Locate and write the center and radius of the circle.

Step 3:

Write the equation of the circle with center (-7, -2) and radius r = 2

Final answer

Answer:

y^-4

here you are

,........

-27/9 = -3

answer is -3