Mathematics High School

The coordinates of the endpoints of and are A(3, 6), B(8, 7), C(3, 3), and D(8, 4). Which statement describes how and are related?

a)AB//CD
b)AB//CD, and AB bisects CD
c)AB//CD, but AB does not bisect CD
d)AB is neither parallel nor perpendicular to CD

Answers

Answer 1

Answer:

The correct answer is option a.

Step-by-step explanation:

If a line passing through two points, then the slope of a line is defined as

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

The coordinates of the endpoints of are A(3, 6), B(8, 7), C(3, 3), and D(8, 4).

[tex]m_{AB}=\frac{7-6}{8-3}=\frac{1}{5}[/tex]

[tex]m_{CD}=\frac{4-3}{8-3}=\frac{1}{5}[/tex]

Since slope of AB and CD are same, therefore the line AB is parallel to CD because the slope of parallel lines are equal.

Two parallel lines never intersect each other, therefore AB does not intersect CD. Only option a is correct.

The Coordinates Of The Endpoints Of And Are A(3, 6), B(8, 7), C(3, 3), And D(8, 4). Which Statement Describes

Related Questions

The set of whole numbers is closed under division
True or false

Answers

True,because all whole number cannot be divided

Answer:

true

Step-by-step explanation:

One student can paint a wall in 12 minutes. Another student can paint the same wall in 24 minutes. Working together, how long will it take for them to paint the wall?

Answers

Student 1 can paint 1/12 of the wall per minute.
Student 2 can paint 1/24 of the wall per minute.

1/12t+ 1/24t= 1 where t represents time in minutes.
3/24t=1

Divide both sides by 3/24
t=24/3
t=8

Final answer: 8 minutes

Answer: 8

Step-by-step explanation:

Solve each inequality and give the solution in interval notation:

Answers

Where is the inequality to solve?

If, while training for a marathon, you ran 76 miles in 2 2/3 months, how many miles did you run each month? (Assume you ran the same amount each month)

Answers

In 2 2/3 months you ran 76 miles.
To know how many miles you ran each month, you can simply use cross multiplication as follows:
number of miles per month= (76) / (2 2/3)
= 28.5 miles

The minimum wage in 2003 was $5.15. This was w more than the minimum wage in 1996. Write an expression for the minimum wage in 1996.

Answers

$5.15 - w = minimum wage in 1996

(if that wasn't what you were looking for then comment what you really wanted)

t−12/2=3/t2−3
solve for T



–3
–1
1
3

Answers

Solve for T by simplifying both sides of the equation, then isolating your variable.
The answer is 3.

An equation with an exponent is called an exponential equation. true or false?

Answers

An equation with an exponent is called an exponential equation? Answer: A) True.
the answer to that question would be TRUE

What is the greatest common factor for 200 and 205

Answers

The greatest common factor for 200 and 205 is 6.
5 is the answer for this question

Given quadrilateral jklm with diagonals that bisect the vertices, what kind of quadrilateral is jklm? rhombus parallelogram trapezoid generic quadrilateral (no more specific classification can be determined)

Answers

 A rhombus is part of a parallelogram with four sides have the same length such as square. The diagonals of a rhombus is always bisect vertices and the diagonals of a parallelogram can bisect vertices if the 4 sides are congruent which really means that it is a rhombus.

What is the value of y?

Enter your answer in the box.




Answers

I believe it is 64 degrees

In this problem, we want to find the measure of the third angle of the given triangle. Remember that the sum of the interior angles of a triangle is equal to 180 degrees.

Let's start off by writing an equation representing the sum of the interior angles of the given triangle.
y+79+37=180

Now, let's solve the equation for the variable 'y'.
y+79+37=180

Combine like terms:
y+116=180

Subtract 116 from both sides of the equation:
y+116-116=180-116
y=64

The measure of angle y is 64 degrees.

Simplify the expression.

(1/4)^(-3/2)

Please show how to do the problem.

Answers

Alright, so since it's to the negative power we essentially have 1/(1/4^(3/2)). After that, we find (1/4)^3=1^3/4^3=1/64 and find the square root of that, which is (sqrt1)/(sqrt64)=1/8. Since the answer is 1/(1/8), we get the answer to be 8

50 POINTS! PLEASE HELP!
Which of the binomials below is a factor of this trinomial? x2 - 3x - 4
A. x2 + 4
B. x + 4
C. x - 4
D. x + 8

Answers

x² -3x - 4
x        -4
x         1 

(x-4) (x + 1)

your answer is C.x - 4

hope this helps

Answer:

c) x - 4

Step-by-step explanation:

To do a factorization of this kind of trinomial there is a technique very easy to do it.

First, you need to see the numbers that are along with the x and the independent number.

In this case -3 and -4 (I will call them b and c)

Next, you need to think in two numbers that can acomplish the following:

x * y = c

x + y = b

So, first, think, which are two numbers that you can multiply between them to give as a result -4?.

In this case it would be -4 and 1 (-4*1 = -4)

These numbers if you do a sum you'll get -3:

-4 + 1 = -3

So the factorization becomes this:

(x - 4) (x - 1)

So, one of the factors is x - 4. Option c

Math Quiz Question! Measuring segments and Angles

In the diagram, m < ACB = 65
m < BCD =

Answers

I think it's 115

180-65= 115=<BCD

11+22+33+...+1010 is divided by 5. what is the remainder? (a) 0 (b) 1 (c) 2 (d) 3 (e) 4

Answers

adding the last digits 1+2+3+4+5+6+7+8+9+0  = 45

so the sum will end in 5    so its divisible by 5 and the remainder will be 0 

It (a)

There are between 50 and 60 eggs in a basket. When Mohammed counts by 3's, there are 2 eggs left over. When he counts by 5's there are 4 left over. How many eggs are there in the basket?

Answers

Hello There!

3 : 48, 51, 54, 57, 60
5: 50, 55, 60

Choose a number that satisfies both:

59

When divided by 3 it has a remainder of 2
When divided by 5 it has a remainder of 4.

There are 59 eggs in the basket.

Hope This Helps You!
Good Luck :)

The correct answer is:

59

Explanation:

The numbers between 50 and 60 that are divisible by 3 are

51, 54, 57, 60

The numbers between 50 and 60 that are divisible by 5 are

50, 55, 60

We know that when he counts by 3s, he has 2 left over; this means the number he counts to is 2 fewer than the number of eggs.  This means, counting by 3s, we could have

51+2, 54+2, 57+2, or 60+2 = 53, 56, 59, 62

62 is not an option, since we know we have between 50 and 60 eggs; this gives us 53, 56 or 59.

We also know that when he counts by 5s, he has 4 left over; this means the number he counts to is 4 fewer than the number of eggs.  This means, counting by 5s, we could have

50+4, 55+4, 60+4, or 54, 59, 64

64 is not an option, since we know we have between 50 and 60 eggs; this gives us 54 or 59.

The only number in both lists is 59, so this must be the answer.

How do I solve this ?

Answers

1. x=6

2. n=5

CHECK MY ANSWERS IN CASE I MADE A MISTAKE
Because they are equivalent, you can cross multiply.

3*4=2x
12=2x
6=x

Final answer: x=6

The ratio of the number of boy campers to the number of girl campers with 8 to 7. If there were a total of 195 campers, how many boy campers were there? How many girl campers?

Answers

There are 8 girls per 15 campers because 8 divided by 7 boys and 8 girls. The proportion is 8/15. If there are 195 campers, then you are looking for the number of girls, so 8/15 = x/195, where x is the number of girls. Solve for x. 15x = 8(195) 1560 = 15x x = 104 104 girls. Number of boys = y, 195-104=y y = 91

24 loaves of bread cost $48. How much do 10 loaves cost

Answers

48 /24 = 2...so it cost 2 bucks per loaf...

for 10 loaves...
2 * 10 = $ 20 <===
48 divided into 24 is 2. so 10 times 2 is 20.

an object falls d meters in t seconds. what is the independent variable

Answers

the independent variable would be “d meters” because the amount of time depends “dependent variable” on the height of the fall


3 -2 is equivalent to _____.




A -6
B -9
C 1/9
D 1/6

Thanks!

Answers

i believed your question 3 -2 is as 3^-2
if so then

3^-2 = 1/3^2 = 1/9

answer
C 1/9

True or false: it is possible to determine a vector if only one of its components is known.

Answers

false because you must know all of its components in order to solve the equation

Match each step to its justification to solve 2x+5=19

Answers

it is the steps to get to that certain step
some of the steps are out of order
I'm going to assign letters

the order is
A: 2x+5=19
B: 2x+5-5=19-5
C: 2x=14
D: 2x/2=14/2
E: x=7


A: given
B: we subtracted 5 from both sides so subtraction property of equality
C: subtract
D: divison property of equality (we divide both side by 2)
E: divide

The steps :

given subtraction property of equality subtract division property of equality divide Further Explanation

One variable linear equation is an equation that has a variable and the exponent number is one. Can be stated in the form:

[tex]\large{\boxed{\bold{ax=b}}}[/tex]

or

ax + b = c, where a, b, and c are constants, x is a variable

Whereas the two-variable linear equation is a linear equation that has 2 variables and the exponent is one

Can be stated in the form:

 [tex]\large{\boxed{\bold{ax+by=c}}}[/tex]

ax + by = c

x, y = variable

There are 2 general steps to solving a linear equation of one variable:

1. add or subtract both segments with the same number so that it is expected that in one segment there are only variable modifiers or constant numbers 2. Change the equation into a simple form so that the coefficient of the variable is 1

This can be done by dividing or multiplying by equal numbers

An equation will remain equivalent if both segments are multiplied or divided by the same number

In the equation

2x + 5 = 19

The right steps to complete it according to the images included are:

1. 2x + 5 = 9 ⇒ given 2. both segments are subtracted by the number 5

 2x + 5 -5 = 9-5  ⇒subtraction property of equality

3. 2x = 14  ⇒subtract 4. both segments are divided by 2 so that the coefficient x = 1

[tex]{\displaystyle  {\frac {2x} {2}}=~\frac{14}{2}[/tex]

⇒division property of equality

5. x = 7 ⇒ divide

Learn more

the slope-intercept form of the linear equation

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a graph of a linear equation

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system of linear equations

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Keywords: variable, linear equation

Select the equation that most accurately depicts the word problem. The perimeter of a rectangle is 68 inches. The perimeter equals twice the length of L inches, plus twice the width of 9 inches.

Answers

you don't list the options but it should look something like this:

68=2L+2(9)

Please help with this problem.

Answers

So first you make two isosceles triangles, one is URS and the other is UST. First find the degrees of angle RSU which is (180-120)/2=30. Then you know that TSU is 70 and then you can find angle T is 180-70*2 which is 40.

Another method, which is faster is that in a quadrilateral, all angles make 180 degrees. 120+100+100 is 320 and 360-320 is 40.

Simplify by collecting like terms: 2x-4-6x+8

Answers

2x - 4 - 6x+8
= -4x + 4 or
= 4 - 4x 

The solution of the mathmatical exression by combining like terms,

⇒ - 4x + 4

Given that,

An expression to simplify,

⇒ 2x - 4 - 6x + 8

Now, simplify the mathmatical exression by combining like terms,

⇒ 2x - 4 - 6x + 8

Combine like terms,

⇒ 2x - 6x - 4 + 8

⇒ - 4x + 4

Therefore, the solution of expression is,

⇒ - 4x + 4

Learn more about the mathematical expression visit:

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#SPJ6

18 tens 20 ones = Hundreds

Answers

1 hundreds is the answer
hope it helps

What is the equation of the line that is parallel to the given line and passes through the point (−4,−6 )?

A. x = −6
B. x = −4
C. y = −6
D. y = −4

Answers

The question says that the line is parallel to the line above, so it is horizontal.  When the line is horizontal it will be a 'Y='  Then, you take a look at the y axis and check to see what part of the axis the line is going through.  Therefore, you can figure out that the awnser is C.  I hope this explanation helps!

we know that

The given line is parallel to the x-axis

so

the equation of the line that is parallel to the given line and passes through the point [tex](-4,-6 )[/tex] will be equal to the y-coordinate of the point

The y-coordinate of the point is [tex]-6[/tex]

therefore

the equation is

[tex]y=-6[/tex]

the answer is the option C

[tex]y=-6[/tex]

P and q are on a number line. If p has a coordinate -5 and pq =7 , what could the coordinate of p be

Answers

2 and -12 are the coordinates of p

A company sold 160 units in the last quarter of the year. Which of the following graphs represents the company's sales performance?

Answers

Final answer:

The question does not provide specific graphs to choose from for the company's sales performance. Nonetheless, a correct graph would show a point at 160 units for the last quarter of the year.

Explanation:

Unfortunately, the question as presented does not include any graphs to choose from. Ideally, the correct graph would have the last quarter of the year on the x-axis and the number of units sold on the y-axis. It would display a single point at 160 units for the last quarter. However, without specific graphs to choose from, a more detailed answer cannot be provided.

Learn more about Graph interpretation here:

https://brainly.com/question/28418462

#SPJ2

The graph which represents the company's sales performance is graph B.

Which of the following graphs represents the company's sales performance?

The last quarter of the year begins October 1st and ends December 31st.

Total units sold by the company in the last quarter of the year = 160 units

Graph 1:

October = 40 units

November = 60 units

December = 40 units

Total = 140 units

Graph 2:

October = 40 units

November = 65 units

December = 55 units

Total = 160 units

Graph 3:

October = 40 units

November = 50 units

December = 50 units

Total = 140 units

Graph 4:

October = 40 units

November = 60 units

December = 50 units

Total = 150 units

Therefore, last quarter of the year in graph B represents the company's sales.

In the expression 4^9 the number 9 is called the

Answers

The answer to your question is exponent. When you have 4^9 it stands for 4 to the 9th power with the 9 is considered an exponent.
Hope this helps
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