What is the angle pair relationship between angles 6 and 8?

Answer:

14.54 was the change she got

Step-by-step explanation:

Answer:

14.54$

20-5.46=14.54$

Step-by-step explanation:

Answer:

wheres the question

Step-by-step explanation:

The diagonals of a quadrilateral are perpendicular and one pair of opposite sides is parallel.

A quadrilateral is a shape with four straight sides. The trapezoid is a quadrilateral with only one pair of parallel sides.

An isosceles trapezoid is a trapezoid with two of the sides having the same length.

It can be proven that a quadrilateral is either a rectangle or an isosceles trapezoid by the following statement:

The diagonals of a quadrilateral are perpendicular and one pair of opposite sides is parallel.

If a quadrilateral has perpendicular diagonals and one pair of opposite sides that are parallel, then it can be either a rectangle or an isosceles trapezoid.

To know more about quadrilateral visit:

https://brainly.com/question/29934440

#SPJ11

Answer:

x = -7, y = -1

Step-by-step explanation:

Solve the following system:

{12 y = x - 5 | (equation 1)

9 y - 2 x = 5 | (equation 2)

Express the system in standard form:

{-x + 12 y = -5 | (equation 1)

-(2 x) + 9 y = 5 | (equation 2)

Swap equation 1 with equation 2:

{-(2 x) + 9 y = 5 | (equation 1)

-x + 12 y = -5 | (equation 2)

Subtract 1/2 × (equation 1) from equation 2:

{-(2 x) + 9 y = 5 | (equation 1)

0 x + (15 y)/2 = -15/2 | (equation 2)

Multiply equation 2 by 2/15:

{-(2 x) + 9 y = 5 | (equation 1)

0 x + y = -1 | (equation 2)

Subtract 9 × (equation 2) from equation 1:

{-(2 x) + 0 y = 14 | (equation 1)

0 x + y = -1 | (equation 2)

Divide equation 1 by -2:

{x + 0 y = -7 | (equation 1)

0 x + y = -1 | (equation 2)

Collect results:

Answer:{x = -7, y = -1

\(\sf \:Formula \: to \: find \: the \: area \: of \: a\: triangle \: = \boxed{\boxed{\bf \frac{1}{2} \times b \times h}}\)

___________________

\(\sf \: b = 6 \: in. \\ \sf \: h = 6 \: in.\)

___________________

\(\sf \: Area \: \hookleftarrow \\ \sf \: = \frac{1}{2} \times b \times h \\ \sf \: = \frac{1}{2} \times 6 \times 6 \\ = \sf \frac{1}{\bcancel2} \times{ \bcancel36 } \\ \sf =\underline{\bf 18 \: in ^{2} .}\)

Answer:

x is 90 because it is a right triangle

Answer:

Answer is in pictures

Step-by-step explanation:

36=6x6 90=9x10

256+7=263 104=98+6-2

678=678 81+9=90

The conditions for a sampling distribution of a sample mean, when you know the true involve random sampling, independence, and a large enough sample size.

The conditions for a sampling distribution of a sample mean, when you know the true mean, are as follows:

1. Random Sampling:

The samples should be selected randomly from the population to ensure that they are representative of the entire population.

2. Independence:

Each sample should be independent of the others.

This means that the outcome of one sample should not influence the outcome of another sample.

3. Sample Size:

The sample size should be large enough to ensure that the sampling distribution approximates a normal distribution.

In general, a sample size greater than 30 is considered sufficient.

Random sampling is important because it helps to minimize bias and ensure that the sample is representative of the population.

Independence is necessary to avoid any potential confounding factors that may influence the results.

Lastly, a sufficiently large sample size is needed to satisfy the central limit theorem, which states that as the sample size increases, the sampling distribution of the sample mean approaches a normal distribution.

These conditions are important to ensure the validity and reliability of the statistical analysis.

To know more confounding factors visit;

https://brainly.com/question/29973380

#SPJ11

The answer is point C is further from point A than point B

A Cartesian coordinate system in a plane is a coordinate system that specifies each point uniquely by a pair of numerical coordinates,

Given here: The points A(-5,8) ,  B(1,0) C(-10,16)

length of AB= \(\sqrt{(-5-1)^2+(8-1)^2}\)

                    =9.22 units

Similarly length of AC= \(\sqrt{(-5+10)^2+(8-16)^2}\)

                                    = 9.433

Hence, point C is further from point A than point B

Learn more about co-ordinate system here:

https://brainly.com/question/29762404

#SPJ1

Answer:

2

Step-by-step explanation:

When give two points, we can use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 4- -2)/(4-1)

    = ( 4+2)/(4-1)

    = 6/3

     = 2

Answer:

2

Step-by-step explanation:

When give two points, we can use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 4- -2)/(4-1)

    = ( 4+2)/(4-1)

    = 6/3

     = 2

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

Learn more about Scheduling here:

brainly.com/question/30012511

#SPJ4

There are infinitely many solutions to an equation with two variables.

We know that an equation is a mathematical statement that contains equal symbol between two mathematical expressions.

In this question need to solve  an equation with x and y in one equation.

Consider an equation with two variables: 5x + y = 8

If we solve given equation for x then it would be,

5x + y = 8

5x + y - y = 8 - y

5x/5 = (8 - y)/5

x = (8 - y)/5

for any arbitrary real value value of y we can find the value of x.

This means there are infinitely many solutions.

If we solve given equation for y then it would be,

5x + y = 8

5x + y - 5x = 8 - 5x

y = 8 - 5x

for any arbitrary real value value of x we can find the value of y.

Therefore, an equation with two variables has infinitely many solutions.

Learn more about an equation here:

https://brainly.com/question/649785

#SPJ4

Answer:

orthocentre

Step-by-step explanation:

A triangle's three altitudes intersect at the orthocentre

The corresponding angles and sides of the two triangles need to be given in order to prove congruence by side-angle-side.

In order to prove congruence by side-angle-side, the corresponding angles and sides of the two triangles must be given. The sides must be proportional, which means that two sides of one triangle must be equal to two sides of the other triangle, and the angles between these two sides must also be equal. In other words, if two sides of one triangle are equal to two sides of the other triangle, and the angle between those two sides is also equal, then the two triangles are congruent. This can be expressed as “If two sides and the included angle of one triangle are equal to the corresponding sides and angle of a second triangle, then the two triangles are congruent.” In order to prove congruence by side-angle-side, all of the corresponding sides and angles must be given in order to show that they are equal.

Learn more about triangle here

https://brainly.com/question/2773823

#SPJ4

The additional information that is needed to prove the triangles are congruent by Side-Angle -Side us that the corresponding angles and sides of the two triangles need to be given .

What is Side-Angle-Side Congruence ?

The Two Triangles can be called as  Congruent by Side-Angle-Side rule  if any 2 sides and angle included between sides of one triangle is equivalent to corresponding 2 sides and angle between sides of second triangle .

In order to prove the Congruence by Side-Angle-Side, the corresponding angles and the sides of the 2 triangles must be given.

The sides must also be in proportional, that means that the two sides of one triangle must be equal to two sides of other triangle, and

the angles between these two sides of the triangle must  be equal.

So , In order to prove a triangle congruent by Side-Angle-Side, all of the corresponding sides and angles must be given in order to prove  that they are equal.

Learn more about Congruency here

https://brainly.com/question/29288158

#SPJ4

The linear equation in slope-intercept form for the velocity of sound as a function of temperature is v = 0.068T + 293.2, where v is the velocity of sound and T is the temperature in degrees Celsius. Using this equation, the velocity of sound at 60°C is 339.6 m/s.

The velocity of sound in dry air increases as the temperature increases. At 40°C, sound travels at a rate of about 355 m/s, and at 49°C, it travels at a rate of about 360 m/s. To write a linear equation in slope-intercept form for the velocity of sound as a function of the temperature, first calculate the slope of the line by finding the difference in velocity divided by the difference in temperature: (360 - 355) / (49 - 40) = 0.068. This slope can be written as the coefficient of the T-term in the equation. To find the y-intercept, plug in the temperature at which the velocity was measured (40°C) and the corresponding velocity (355 m/s) into the equation of the form v = mT + b. Solving for b yields 293.2. Therefore, the linear equation in slope-intercept form is v = 0.068T + 293.2. To find the velocity of sound at 60°C, plug in 60 for T in the equation and solve for v, which yields 339.6 m/s.

Learn more about equation here

https://brainly.com/question/649785

#SPJ4

Answer:

ABCD has congruent diagonals.

ABCD is a rhombus.

ABCD has four congruent angles

Step-by-step explanation:

The following statements would be considered true

1. The quadrilateral ABCD could have the congruent diagonals as the diagonals are perpendicular

2. ABCD would be treated as the rhombus as it is a  regular quadrilateral

3. ANd, It Have the four congruent angles that means the four angles be 90 degrees

The other statements would be false.

Answer:

A,B,E

Step-by-step explanation:

Edge 2021

Solution:

Given:

The numbers are represented on the number line below;

The distance between the numbers can be gotten by moving from one number to the other counting the number of steps taken.

Hence,

Therefore, the distance between the numbers on the number line is 17.

Answer:

In 20 years, the customer earns 1330

Step-by-step explanation:

I =Prt

the formula for simple interest

P= 3000

r = 1.9% (0.019)

t = 20 years

(3500)(0.019)(20)= 1330

Answer:

Negative

Step-by-step explanation:

I dont really know how to explain it but it is a negative correlation.

9514 1404 393

Answer:

  positive correlation

Step-by-step explanation:

The general trend of the data is upward to the right, so the trend line has a positive slope. The sign of the correlation matches the sign of the slope of the trend line. The correlation is positive.

__

The data is well-scattered about that "trend line," so the correlation would be only slightly positive.

Answer: 1/32

Step-by-step explanation: 1/4÷8+1/32 because, first, we have something called a reciprocal. 1/4÷8 is the original problem, but to make it easier we use a reciprocal. 1/4x1/8 is reciprocal. It used to be 8/1, but using the reciprocal we flip it over to make it 1/8, which gives us the answer 1/32. Good Luck and stay Brainly!

Answer:

Vertex: (-3, -5)

Axis of Symmetry: x = -3

Step-by-step explanation:

Heres the sketch:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

To solve the vector equation using Gaussian elimination, let's set up an augmented matrix and perform row operations: the solution (4, -2) represents the weights or coefficients used to combine the given vectors to obtain the target vector [2, 4].

[−1 1 | 2]

[2  1 | 4]

Row 2 - 2 * Row 1:

[−1  1 | 2]

[0  -1 | 2]

Row 2 * -1:

[−1  1 | 2]

[0   1 | -2]

Row 1 + Row 2:

[−1  2 | 0]

[0   1 | -2]

Row 1 + 2 * Row 2:

[−1  0 | -4]

[0   1 | -2]

Now, we have the matrix in row-echelon form. Let's solve for the variables:

From the first row: -x1 = -4 => x1 = 4

From the second row: x2 = -2

Therefore, the unique solution to the vector equation is x1 = 4 and x2 = -2.

To illustrate this solution geometrically:

1) Intersection of two lines in a plane:

The vector equation represents two lines in a plane. The line formed by the first vector [-1, 1] passes through the point [2, 4], while the line formed by the second vector [2, 1] also passes through the point [2, 4]. The unique solution (4, -2) represents the intersection point of these two lines in the plane.

2) Weights in a linear combination of vectors:

The solution (4, -2) can be expressed as a linear combination of the given vectors. It means that we can multiply the first vector by 4 and the second vector by -2, then add them together to obtain the resulting vector [2, 4]. Mathematically:

4 * [-1, 1] + (-2) * [2, 1] = [2, 4]

This demonstrates that the solution (4, -2) represents the weights or coefficients used to combine the given vectors to obtain the target vector [2, 4].

Learn more about Gaussian elimination here

https://brainly.com/question/30400788

#SPJ11

The water in the aquarium tank will rise by 0.05 cm when the brick is placed in the bottom of the tank.

The volume of the brick is calculated as 40 cm x 20 cm x 10 cm = 8000 cm^3. Since the brick is submerged in the water, the amount of water displaced by the brick is equal to the volume of the brick. Therefore, the water level will rise by the same amount as the volume of the brick, which is \(8000 cm^3\).

To calculate the rise in water level, we need to divide the volume of the brick by the area of the rectangular base of the tank. The area of the rectangular base is calculated as 100 cm x 400 cm = \(40000 cm^2\). Dividing the volume of the brick (\(8000 cm^3\)) by the area of the rectangular base \(40000 cm^2\) gives us 0.2 cm. However, the brick is not placed at the bottom of the tank, but rather at a height of 40 cm. Therefore, we need to divide the calculated value by the height of the tank, which is 40 cm. This gives us a final result of 0.2 cm / 40 cm = 0.05 cm, which is the rise in water level when the brick is placed in the bottom of the tank.

Learn more about volume here:

https://brainly.com/question/28058531

#SPJ11

Answer:

180

Step-by-step explanation:

if 90 is 50 percent (1/2), you just need to multiply it by two.

(90×2=180)

Step-by-step explanation:

3)

Given expression is x(6x-8y)-x²(6x-5y)

=>6x²-8xy-6x³+5x²y

=> x(6x-8y-6x²+5xy)

x(6x-8y)-x²(6x-5y) = x(6x-8y-6x²+5xy)

If the given problem like this

x(6x-5y)-x²(6x-5y)

=> (6x-5y)(x-x²)

=> (6x-5y)(x)(1-x²)

=> (6x-5y)(x)(1+x)(1-x)

4)

Given expression is 9m(p-3q)-3n(p-3q)

=> (p-3q)(9m-3m)

=> (p-3q)3(3m-n)

=> 3(p-3q)(3m-n)

9m(p-3q)-3n(p-3q) = 3(p-3q)(3m-n)

5)

Given that ax+ay-bx-by

=> a(x+y)-b(x+y)

=> (x+y)(a-b)

ax+ay-bx-by = (x+y)(a-b)

6)

Given that

a²+2a+ab+2b

=> (a²+ab)+(2a+2b)

=> a(a+b)+2(a+b)

=> (a+b)(a+2)

a²+2a+ab+2b = (a+b)(a+2)

7)

Given that

2ax+bx+2ay+by

=> (2ax+2ay)+(bx+by)

=> 2a(x+y)+b(x+y)

=> (x+y)(2a+b)

2ax+bx+2ay+by = (x+y)(2a+b)

8)

Given that

xy-pq+qy-px

=> (xy+qy)-(pq+px)

=> y(x+q)-p(q+x)

=> y(x+q)-p(x+q)

=> (x+q)(y-p)

xy-pq+qy-px = (x+q)(y-p)

9)

Given that

1+p+pq+p²q

=> (1+p)+(pq+p²q)

=> 1(1+p)+pq (1+p)

=> (1+p)(1+pq)

1+p+pq+p²q = (1+p)(1+pq)

10)

Given that

2a-4b-xa+2bx

=> (2a-4b)-(xa-2bx)

=> 2(a-2b)-x(a-2b)

=> (a-2b)(2-x)

2a-4b-xa+2bx = (a-2b)(2-x)

Hope this helps!!

Solution

where:

F=future value = 45000

P=present value

r=rate (as a decimal) = 7%=0.07

n=number of compounding periods per year = 1

t=number of years = 6

Therefore the present value deposited today = $29,985.40

To evaluate the definite integral of f(g(4)) - f(g(2)), we need to consider the composition of functions and the Fundamental Theorem of Calculus.

Let's break down the steps to find the definite integral: Evaluate g(4) and g(2) using the function g. Substitute the values of g(4) and g(2) into the function f. Find the antiderivative of f(g(x)) with respect to x, denoted as F(g(x)). Apply the Fundamental Theorem of Calculus, which states that the definite integral of F'(x) from a to b is equal to F(b) - F(a), where F'(x) is the derivative of F(x).

Evaluate F(g(4)) - F(g(2)) using the antiderivative F(g(x)). Note that the expression F(g(4)) - F(g(2)) represents the change in the antiderivative F(g(x)) over the interval from g(2) to g(4). Therefore, the definite integral for f(g(4)) - f(g(2)) is F(g(4)) - F(g(2)).

To learn more about Calculus click here: brainly.com/question/32512808

#SPJ11

Answer:

1) See below for table.

2) Domain: \(\{1, 2, 3, 4\}\)

Range: \(\{160, 160, 205, 250\}\)

Yes, this is a function.

Step-by-step explanation:

We know that the electrician charges a base fee of $70 plus $45 for each hour of work.

We also know that the minimum the electrician charges is $160.

Let's write an equation. Let x denote the number of hours worked and y denote the total price. There's also a base fee of $70. So, we can write the following equation:

\(y=45x+75\)

Part 1)

Let's create our table for 1, 2, 3, and 4 hours. To do so, we simply need to substitute each value for x in our equation.

1 Hour:

We have:

\(y_1=45(1)+70\)

Multiply and add:

\(y_1=45+70=\$115\)

However, notice that the minimum the electrician charges is $160. Therefore, for one hour of work, the electrician will still charge $160. So:

\(y_1=\$160\)

2 Hours:

Substitute 2 for x:

\(y_2=45(2)+70=90+70=\$160\\\)

So:

\(y_2=\$160\)

3 Hours:

Substitute 3 for x:

\(y_3=45(3)+70=135+70=\$205\)

So:

\(y_3=\$205\)

4 Hours:

Substitute 4 for x:

\(y_4=45(4)+70=180+70=\$250\)

So:

\(y_4=\$ 250\)

Therefore, for 1, 2, 3, and 4 hours of work, the prices will be $160, $160, $205, and $250, respectively.

We can create the following table (please scroll down to see the table. Also, y is measured in dollars).

Part 2)

The domain of a relation are the input values.

In this context, our input values are the amount of hours worked, and we calculated for 1, 2, 3, and 4 hours of work.

Therefore, our domain in this context is:

\(\{1, 2, 3, 4\}\)

The range of a relation are the output values.

In this context, the output values are the price for x hours of work.

Therefore, our range in this context is:

\(\{160, 160, 205, 250\}\)

This relation does represent a function. Remember that a function cannot have repeating input values. In other words, no one input can be equal to two or more different outputs. However, one output can be mapped to two or more different inputs.

For our table, none of the inputs are repeating. So, our relation is a function.

And we're done!

A country will roughly double its gdp in twelve years if its annual growth rate is 5.8  using the rule of 70.

The rule of 70 is used to determine the time it takes a country to double it growth rate.

To double in 12 years =70/12 = 5.8

Therefore, A country will roughly double its gdp in twenty years if its annual growth rate is 5.8  using the rule of 70.

A measure of the rise in the value of an investment or revenue stream over the course of a year is the annual growth rate, often known as the "simple growth rate" or "average annual growth rate (AAGR)".

The formula for calculating annual growth rate divides the total value of annual growth at the beginning of the year by the total value of that growth at the end of the year.

To learn more about growth rate

brainly.com/question/25849702

#SPJ4

A new preparation course for the math SAT is open to those who have already taken the test once and scored in the middle 90% of the population. 883.5 to 1218.5 is the range a test-takers previous score to be eligible for the new course.

If a test-taker scored in the middle 90% of the population on their previous SAT, it means that their score fell between the 5th percentile and the 95th percentile. This is because the middle 90% represents the range of scores that is 5% below the top scores and 5% above the bottom scores.

To determine the score range for eligibility for the new preparation course, we need to know the scores that correspond to the 5th and 95th percentiles of the population. According to the College Board, which administers the SAT, the average score for the SAT in 2021 was 1051 out of 1600. The standard deviation was approximately 100 points.

Using these values, we can calculate the scores that correspond to the 5th and 95th percentiles of the population:

5th percentile: Mean - 1.645 * Standard Deviation = 1051 - 1.645 * 100 = 883.5

95th percentile: Mean + 1.645 * Standard Deviation = 1051 + 1.645 * 100 = 1218.5

Therefore, to be eligible for the new preparation course, a test-takers previous SAT score must have fallen within the range of 883.5 to 1218.5.

To learn more about mean, refer:-

https://brainly.com/question/30112112

#SPJ4