A teacher offers 8 extra credit assignments.what is the domain of this graph

To show that the angle bisector of an equilateral triangle is perpendicular to the base​, we can assume an equilateral triangle with sides ABC. Next, we can get an angle bisector in the middle represented by BD which becomes perpendicular to the base BC.  

After getting the angle bisector, we would see that the line segment BD, divides angle BAC into two equal angles, each measuring 30 degrees. Now, we can draw a perpendicular line from point D to the base BC.

We could also draw a line E, which is the perpendicular line that intersects the base BC. We want to show that BD is perpendicular to BC, which means we need to show that angle BDE is a right angle.

Since the sum of angles BDA and ADE is 90 degrees (they form a right angle), and the sum of angles BAD, ABD, and BDA is 180 degrees, it follows that angle BDE must be a right angle.

Therefore, we have shown that the angle bisector of an equilateral triangle is perpendicular to the base.

Learn more about the angle bisector of an equilateral triangle here:

https://brainly.com/question/30341397

#SPJ1

However, I can still give you some general steps to solve a math problem in 200 words.

Step 1: Read the problem thoroughly and understand what it's asking you to find. This may involve identifying the given information and what you need to find. Also, identify any constraints on the problem, like time or cost.

Step 2: Plan how to solve the problem. Think about what mathematical operations or formulas you can use to find the answer. Make a list of the steps you need to take to solve the problem. Also, determine the units for your answer.

Step 3: Solve the problem. Use the mathematical operations or formulas you've identified in step 2 to find the answer. Show all of your work, including any calculations, so that you can easily check your work later.

Step 4: Check your answer. Make sure that your answer makes sense and that it satisfies any constraints given in the problem. Also, check that your units are correct. If your answer doesn't make sense, go back and review your work to see if you made an error.

Step 5: Reflect on what you've learned. Think about what you did well and what you could improve upon in future problem-solving situations. This will help you become a more effective problem solver in the future.

For such more question on constraints

https://brainly.com/question/29989358

#SPJ8

Data Input

Equation:

A = P(1 + rt)

The probabilities are given as follows:

3. P(rides bus|owns a car) = 1/3.

4. P(red|organic) = 3/5.

The probability of an event in an experiment is obtained as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.

For item 3, the outcomes are given as follows:

Hence the probability is:

P(rides bus|owns a car) = 8/24 = 1/3.

For item 4, the outcomes are given as follows:

The error was in identifying the total outcomes, and the probability is:

P(red|organic) = 18/30 = 3/5.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

Answer:

y=-2.5x+8

Step-by-step explanation:

Subtract 5x from both sides

2y=-5x+16

divide both sides by two

y=-2.5x+8

Answer:

y=  1/4(2+3x)

Step-by-step explanation:

The solution of the expression for the value of y is y = 8 + 12x.

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

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The given expression is 3x-1/4y=-2. The value of y will be calculated as below:-

3x-1/4y=-2

-(1/4)y = -2 - 3x

y = 4 ( 2 + 3x)

y = 8 + 12x

Therefore, the solution of the expression for the value of y is y = 8 + 12x.

To know more about an expression follow

https://brainly.com/question/723406

#SPJ2

Answer:

D

Step-by-step explanation:

When rounding, the number 5 is rounded up. So the number 387.352 will be rounded up 387.4. Other options are not suitable. Correct answer is "D"

If you think my answer is the best, please mark it as the Brainliest.
Thank you! :))

Answer:

Below

Step-by-step explanation:

Pick two convenient integer coordinate sets on the line

 like 0,0 and 10,4

find slope, m  = ( y1-y2) / (x1-x) = ( 4-0) / ( 10-0) =  4/10  = 2/5

b = y axis intercept = 0

Slope - intercept equation of a line is of the form : y = mx + b

  substitute in the m and b values found above to get

     y = 2/5 x + 0

or just   y = 2/5 x

The volume of the solid formed by rotating the function f(x)=x about the x-axis from x=0 to x=1 is equal to the integral of the area of the cross-section of the solid from x=0 to x=1. The area of the cross-section is equal to the area of a circle with radius x, which is equal to πx. Thus, the volume of the solid is equal to the integral of πx from x=0 to x=1.

This integral can be solved using the formula for the area of a circle, which is equal to πr. Thus, the volume of the solid is equal to π∫x dx from x=0 to x=1. After solving the integral, the volume of the solid is equal to π/3. Thus, the volume of the solid formed by rotating the function f(x)=x about the x-axis from x=0 to x=1 is equal to 0.3333.

To learn more about volume of solid:

https://brainly.com/question/27176049

#SPJ4

The angle between m and P (m∠P) is 124°.

In the given picture, W and P are alternate interior angles.

If two parallel lines are cut by a transversal, alternate interior angles are congruent. So, m∠P is equal to m∠W.

Therefore, m∠P is 124°.

In plane geometry, the figure formed by two rays or lines that share a common endpoint is called an angle. The word "angle" comes from the Latin word "angulus" which means "horn". The two rays are called the sides of the angle, and the common endpoint is called the vertex.

Common contact points are called corner vertices. The word angle comes from the Latin word 'angulus', which means 'horn'. Angles around us: There are many everyday examples of angles: hangers, arrowheads, scissors, partially open doors, pyramids, table edges, and ruler edges.

Learn more about angle here: https://brainly.com/question/24839702

#SPJ1

Answer:

give options for this answer please

Answer:

Your answer would be the square root of 50 and 60.

Step-by-step explanation:

Answer and Step-by-step explanation:

I think that the answer choices:

- Multiply the vertices of polygon ABCD by \(\frac{1}{2}\)

- Reflect the intermediate image.

These transformations would be a step in the process of determining if the figures are similar.

#teamtrees #PAW (Plant And Water)

The solution (1, 1.5) denotes:

Each apple costs $1.

Each banana costs $1.50.

Option D is the correct answer.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 9 is an equation.

We have,

6y = 9x _____(1)

2x + 4y = 8 ______(2)

From the equation,

x is the cost of an apple.

y is the cost of a banana.

Now,

(1, 1.5) = (x, y)

This means,

The cost of an apple = $1.

The cost of a banana = $1.5

Thus,

The solution (1, 1.5) denotes that the cost of an apple is $1 and a banana is $1.5.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ1

Answer:

Step-by-step explanation:

Given that,

x*y=\(\dfrac{(2x-y)}{(x+y}\)

3*2=

\(\dfrac{2(3)-2}{3+2}\\\\\dfrac{6-2}{5}\\\\\dfrac{4}{5}\)

Therefore:-

\(\therefore {3*2}=\dfrac{4}{5}\)

Answer:

n=0.5

Step-by-step explanation:

2 times 0.5 = 1

Answer:

n=0.5

Step-by-step explanation:

Answer:

j=5.25

Step-by-step explanation:

j+22/8=8

j=8/1-22/8

j=64-22/8

j=5.25

Proof:

5.25+22/8=8

525/100+22/8=8

4200+2200/800=8

6400/800=8

8=8

Answer:

16

Step-by-step explanation:

mode = the most

mean = ave

median = the no. in between

so arrange those five costs the one in the middle is 16

Answer:

Distance = 8

Step-by-step explanation:

The length of the line between (8,6) and (8,-2) is 8.

The distance between (8, 6) and (8, -2) is 8 units.

Distance between two points is the length of the line segment that connects two given points.

\(d = \sqrt{(x_{2}-x_{1}) ^{2} +(y_{2} -y_{1}) ^{2} }\)

According to the given question

We have two points

(8, 6) and (8, -2)

Let,

\((x_{1} ,y_{1} ) = (8,6)\)

and, \((x_{2},y_{2}) =(8,-6)\)

Therefore,

The total distance between (8, 6) and (8, -2)

\(=\sqrt{(8-8)^{2}+(-2-6)^{2} }\)

\(=\sqrt{0+(-8)^{2} }\)

\(=\sqrt{64}\)

\(=8\) unit

Hence, the distance between (8, 6) and (8, -2) is 8 units.

Learn more about the distance between the two points here:

https://brainly.com/question/18296211

#SPJ2

Answer:

1/2

Step-by-step explanation:

We are given the expression 3b²-c, and we want to evaluate it if b is 1/2 and c is 1/4.

Because b and c are given values, we can substitute them into the expression as so:

Replace b with 1/2 in the expression.

3(1/2)²-c

Now replace c with 1/4 in the expression.

3(1/2)²-1/4

Now to solve this, we need to use the order of operations, which is usually known as PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction) in the United States, although other countries have different abbreviations.

Regardless, the order of operations tells us that we should start with what is inside parentheses (i.e. if we need to do anything, like multiplying or dividing any numbers that are inside parentheses).

In this case, we don't have anything. So, we should go next to exponents, and we do have an exponent here (1/2 is raised to the second power).

So let's evaluate that.

Raise 1/2 to the second power (multiply it by itself).

1/2 * 1/2 = 1/4

We can substitute (1/2)² with 1/4:

3(1/4) - 1/4

Next, we should take care of any multiplication / division, making sure that we should work left to right

There is one multiplication thing to do: the 3(1/4), which will be 3/4

Replace 3(1/4) with 3/4.

3/4 - 1/4

Now, we can subtract 1/4 from 3/4, as the final two things in PEMDAS are addition and subtraction (A and S). Note that even though while addition is written first, we should always be working left to right, so for example if we had 3 - 4 + 6, we should do 3 - 4 first, THEN add 6 to the result of that. The same is true for multiplication and division.  

3/4 - 1/4 = 2/4 = 1/2

The graph of the solution to the given inequality on the number line plotted is attached.

Inequalities are the mathematical expressions in which both sides are not equal.

In inequality, unlike in equations, we compare two values.

The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequality is q < 69.5​.

The result can be shown in multiple forms.

Inequality Form:q<69.5

Interval Notation:(−∞,69.5)

Therefore, the graph the solution to the given inequality on the number line plotted below.

To learn more on Inequality click:

https://brainly.com/question/28823603

#SPJ1

Answer:

Step-by-step explanation:

Answer:

where is the question.

send it so I'll answer it

Answer:

False, the first percentile is less than 22 hours.

Step-by-step explanation:

xth percentile:

If a measure is said to be in the xth percentile, it means that x% of the measures are smaller than it, and (100-x)% are larger.

Twenty four of the families in the sample watched TV for less than 22 hrs per week. In the sample, there are 150 families.

This means that 22 is the:

24*100%/150 = 16th percentile.

The first percentile is greater than or equal to 22 hours: True or False?

The first percentile is less than the 16th percentile, which is 22. This means that this is false, the first percentile is less than 22 hours.

The appropriate hypotheses for this test are: H0: There is no difference in the distribution of responses. Ha: There is a difference in the distribution of responses.

The chosen hypotheses are based on the objective of the investigation, which is to determine if there is convincing evidence that the distribution of responses about eating the potato salad differs between employees who are sick and those who are not sick.

The null hypothesis (H0) assumes that there is no difference in the distribution of responses about eating the potato salad between the sick and non-sick employees. This means that the proportion of employees who ate the potato salad would be the same in both groups, and any observed difference in the distribution of responses is due to random chance or factors unrelated to being sick or not sick.

On the other hand, the alternative hypothesis (Ha) proposes that there is a difference in the distribution of responses about eating the potato salad between the sick and non-sick employees. This suggests that the proportion of employees who ate the potato salad would be significantly different in the two groups, indicating a possible association between consuming the potato salad and getting sick.

By formulating these hypotheses, the investigation aims to evaluate whether the data provides convincing evidence to reject the null hypothesis in favor of the alternative hypothesis, indicating a meaningful relationship between eating the potato salad and falling sick.

Therefore, the correct answer is:

H0: There is no difference in the distribution of responses about eating the potato salad among those who are and are not sick.

Ha: There is a difference in the distribution of responses about eating the potato salad among those who are and are not sick.

For more such questions on hypotheses , Visit:

https://brainly.com/question/25263462

#SPJ11

Answer:

Option C, angle bisector

Answered by GAUTHMATH

Answer:

f^(-1)(x) = ±√(x - 5).

Step-by-step explanation:

Replace f(x) with y: y = x^2 + 5.

Swap the x and y variables: x = y^2 + 5.

Solve the equation for y. To do this, we'll rearrange the equation:

x - 5 = y^2.

Take the square root of both sides (considering both positive and negative square roots):

±√(x - 5) = y.

Swap y and x again to express the inverse function:

f^(-1)(x) = ±√(x - 5).

Answer:60 miles.

Step-by-step explanation:

m=number of miles the bicycle can travel in 4 hours.

Set up a ratio of hours over miles.

2/30=4/m. Multiply both sides by m. (2m)/30=4. Multiply both sides by 30. 2m=120. M=60. You could also just realize that you are multiplying the numerator by 2 of the fraction 2/30 to get 4/m, so you would also have to multiply the denominator by 2 so that both of the fractions are equivalent. So then you’d just multiply the bottom by 2 to get the miles the bike travels in 4 hours.

Answer: $20000

Step-by-step explanation:

The amount of cash drawings for the year will be calculated thus:

Net loss = $18,800

Beginning owner's equity = $378,800

Ending owner's equity = $330,000

Goods withdrazwn by owner = $10,000

The Ending owner's equity is calculated as:

= Beginning owner's equity - Net loss - Goods withdrazwn by owner - Cash withdrawn by owner

We'll then slot in the values given and this will be:

330,000 = 378,800 - 18,800 - 10,000 - Cash withdrawn by owner

330,000 = 350,000 - Cash withdrawn by owner

Cash withdrawn by owner will the be:

= $350000 - $330000

= $20,000