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

Answer 1

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.

Related Questions

write the expression in factored form. 81m^2-49

Answers

We can use the difference of two squares, which is:

x^2 + y^2 = (x-y)(x+y)

So,

(9m-7)(9m+7)

Hope this helps!

A museum has a wax sculpture of a historical village. The scale is 1.5:8. If the height of a hut in the sculpture is 5 feet, how tall is the original hut to the nearest whole foot?

Answers

Let us say that x is the real height of the original hut, therefore we can establish the equation:

5 : x = 1.5 : 8

5 / x = 1.5 / 8

Solving for x:

x = 5 * 8 / 1.5

x = 40 / 1.5

x = 26.67 ft

An investment club used funds totaling $200,000 to invest in a bio-tech company and in an ethanol plant, with hopes of earning 11% and 16% annual simple interest, respectively. Their hunch paid off. The club made a total of $26,000 interest the first year. How much was invested at each rate? $ at 11% = $ at 16% =

Answers

Set the equation
0.11x+0.16 (200000-x)=26000
Solve the equation for x
0.11x+32000-0.16x=26000
0.11x-0.16x=26000-32000
-0.05x=-6000
X=6000÷0.05
X=120000 invested at 11%

200000-120000=80000 invested at 16%

Hope it helps!

Use the interactive tool to graph the line given the following information: coordinates (1,–3) slope of –2 Based on your investigation, what is the value of b for the point (0,b)?

Answers

The line can be written in the form y=mx+b. Plugging -2 in for m , 1 in for x, and -3 in for y, we get -3=-2*1+b=-2+b. Adding 2 to both sides, we get b=-1 and our equation turns into y=-2x-1 since y and x stay variables. Plugging it into a graphing calculator, we get in (0,b) that b = -1

Finding the equation of the line, it is found that the value of b is -1.

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

The equation of a line is given by:

[tex]y = mx + b[/tex]

In which:

m is the slope.b is the y-intercept.

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

Slope of -2 means that [tex]m = -2[/tex], and thus, [tex]y = -2x + b[/tex].It goes through point (1,-3), which means that when [tex]x = 1, y = -3[/tex]. We use this to find b.

[tex]y = -2x + b[/tex]

[tex]-3 = -2(1) + b[/tex]

[tex]b = -3 + 2 = -1[/tex]

The value of b is -1.

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Help me with #16, and explain. Please

Answers

2a-9 +a = 90 degrees

3a -9 = 90

3a = 99

a = 33

angle GEF is 33 degrees

the sum of 3 consecutive odd integers is 189. What are the three odd integers?

Answers

89/3 = 63

63-2 = 61

63 +2 = 65

61 +63 +65 = 189

Consider the following data set: 3, 4, 6, 7, 9, 9, 11. Identify a number you could add to the set to keep the mean smaller than the median.

Answers

The mean is simply the average of the data set.

Mean = (3+4+6+7+9+9+11)/7 = 7

The median, on the other hand, is the middle data when you arrange them from least to greatest. The middle data here is 7.

Hence, initially, the mean and median are equal. In order to make the mean less than median, add another data point which makes it the lowest. For example, we can add 1 as the new data point. The mean would be:

Mean = (1+3+4+6+7+9+9+11)/8 = 6.25

The median is (6+7)/2 = 6.5

Therefore, you can add any number less than 3. For example, that could be 1.

You take to two numbers in the middle and add then (2+4) and that equals 6 so that is your mean. then you take you 6 and then you divide it by 2 (6/2) and that equals, 3 and that is the median.

Ivan needs to memorize words on a vocabulary list for french class. he has memorized 30 of the words, which is two-thirds of the list. how many words are on the list

Answers

Set it up as a proportion
2/3=30/x

Then cross multiply to solve for x

Okay, so if 30 words it 2/3, we need to find how many words are in each 1/3.

30 divided by 2 (Since there are two thirds) = 15 words. 15 words in each of those 1/3

So since each 1/3 has 15 words, and 30 words is 2/3, there us 1/3 still left. So add that 1/3 (15) to 30. 30+15=45. So, there are 45 words on the list.
Hope I helped :)

How many segments have the midpoint (2, -3).Explain your reasoning.

Answers

Final answer:

An infinite number of line segments can have the midpoint (2, -3) in the coordinate plane, because you can have infinite pairs of points such that their midpoint is (2, -3).

Explanation:

In the coordinate plane, an infinite number of line segments can have the midpoint (2, -3). The reasoning behind this is that a midpoint is the point that is equidistant from the end points of a line segment. You can have infinite pairs of points in a coordinate plane such that their midpoint is (2, -3). For instance, the points (4, -1) and (0, -5) have the midpoint (2, -3), and so do the points (2, 7) and (2, -13). This can similarly be done for an infinite number of other sets of points.

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The answer is that there are infinitely many line segments that have the midpoint (2, -3).

A midpoint of a line segment is the point that divides the segment into two equal parts.

Let's consider a Cartesian coordinate system where the midpoint is given as (2, -3).

Any line segment with the midpoint (2, -3) would have a segment bisecting it.

So, it's not just one line segment that has this midpoint, but an infinite number of line segments.

To explain this, consider any line segment in the coordinate plane.

point A : one side of the midpoint point B: the other side.

The midpoint of AB will always be (2, -3) if the segment is positioned such that it's equally distant from (2, -3).

We can slide and rotate this line segment around the midpoint (2, -3) while keeping it the same length, and the midpoint will always remain (2, -3).

So, the answer is that there are infinitely many line segments that have the midpoint (2, -3).

The function y=3.5x+2.8 represents the cost y (in dollars) of a taxi ride of x miles

Answers

Given that the function y=3.5x+2.8 represents the cost y (in dollars) of a taxi ride of x miles, and that you have enough money to travel at most 20 miles.

The domain of a function is the set of possible values of x, given that the maximum number of miles you can travel is 20 miles, the domain of the function is from 0 to 20.

Domain = {x: 0 ≤ x ≤ 20}

The range of a function is the set of the possible values of the function.

For x = 0, y = 3.5(0) + 2.8 = 2.8
For x = 20, y = 3.5(20) + 2.8 = 72.8

Therefore, the range of the function is from $2.8 when no mile was covered and $72.8 when 20 miles was covered.

Therefore, range = {y: 2.8 ≤ y ≤ 72.8}

Answer: Domain= 0[tex]\leq[/tex]x[tex]\leq[/tex]20

Range= 2.8[tex]\leq[/tex]y[tex]\leq[/tex]72.8

Step-by-step explanation:

CREDIT:ANSWER ABOVE ME,HOPE THIS HELPS. Burrgh

The ratio of men to women working for a company is 4 to 3 . if there are 39 women working for the company, what is the total number of employees?

Answers

There are 52 men SO 52+ 39 = 91 SO there are 91 total employees

What is the value of the expression 4x+y2y−x when x = 2 and y = 4? a. 2 b. 3 c.4 d.6

Answers

Final answer:

By substituting the values x=2 and y=4 into the given equation, we get a result of 70 which does not match with any of the provided options.

Explanation:

The value of the expression 4x + y-2y−x when x = 2 and y = 4 can be determined by substituting these values into the expression. By doing so, we get:

4 * 2 + 4^2 * 4 - 2 = 8 + 64 - 2 = 70

So, the correct value is 70, which is not present in the provided options (a. 2 b. 3 c.4 d.6). Maybe there is a misunderstanding or typo in the question or options. The way it's presented right now, the correct answer would be none of the above.

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-4(z-12)=42 how can I solve?

Answers

remember, you can do anything to an equation as long as you do it to both sides

-4(z-12)=42
you can distribute but it's easier to divide both sides by -4
z-12=-10.5
add 12 both sides
z=22.5

-4(z-12) = 42
First, we will get rid of the brackets by multiplying each term within the brackets by -4 as follows:
-4(z) - -4(12) = 42
-4z + 48 = 42
Then, we will isolate the term with the variable. To do so,we will simply subtract 48 from both sides as follows:
-4z+48-48 = 42-48
-4z = -6
Finally,we will get rid of the coefficient next to the variable by dividing both sides by -4.
The final result will thus be:
z = 3/2

Ten less the quotient of a number and 3 is 6

Answers

x/3 -10=6

Add 10 to both sides
x/3= 16

Multiply both sides by 3
x=48

Final answer: x=48

|4v-16|=12 solve for v

Answers

4v-16= 12
4v= 28
v=7

4v-16=-12
4v=4
v=1

Final answer: v=1, v=7

Which two expressions are used to solve this problem?

Elliot has 97 beads. He keeps 25 beads and gives an equal number of beads to each of 8 friends. How many beads did Elliot give to each friend?

Choose exactly two answers that are correct.

A.

25 × 8

B.

72 ÷ 8

C.

97 + 25

D.

97 – 25

Answers

Your first equation would be (97-25)/8
Then, your equation is 72/8
The answers are D and B!

Hope this helps!

Solve the equation with rational exponents (x-4)^2/3= 9

Answers

The solution to the given expression is x = 31.

In order to simplify an expression with exponents of the same base, we would have to apply the properties of multiplication of exponents with the same base;

[tex](k^m)\cdot(k^{n})=k^{m+n}[/tex]

Based on the properties of roots of exponents, we have the following:

[tex]\sqrt[a]{x^b} =x^{\frac{b}{a} }[/tex]

By raising both sides of the given expression to the reciprocal of the exponent, we have:

[tex](x-4)^{\frac{2}{3} }=9\\\\((x-4)^{\frac{2}{3} })^{\frac{3}{2} }=9^{\frac{3}{2} }\\\\x-4=(9^{\frac{1}{2} })^{3 }\\\\x-4=(3)^{3 }\\\\[/tex]

x - 4 = 27

x = 27 + 4

x = 31

The scatter plot shows how many desks and computers were found in 12 diffirent offices. how many offices had fewer than 5 desks

Answers

There are 5 offices with fewer than 5 desks.
You can see this by simply counting how many points are to the left of the 5 on the X (desks) axis

Answer:

5 offices had fewer than 5 desks

Step-by-step explanation:

Clearly from the scatter plot we could see that 5 offices have lesser than 5 desks.

The number of desks are represented by the horizontal axis and the number of computers are represented by the vertical axis.

so by looking at the scatter plot we could see that the five points are before 5 on the horizontal axis i.e. we have to count all those points such that the desk are less than 5 i.e. ( when the desks are 0,1,2,3 and 4).

All of the following are equivalent except 4 x y , 4 + y , 4y, (4)(y)

Answers

4 x y, 4y and (4)(y) are equivalent

except

4 + y

4+y is not equivalent to the rest

4y=4*y. In algebra, when a number and variable are placed next to each other, it represents multiplication. This also applies to (4)(y), which is 4*y.

Steven wants to buy a $495 bicycle. Steven has no money saved, but will be able to deposit $40 into a savings account when he receives his paycheck each Friday. However, before Steven can buy the bike, he must give his sister $65 that he owes her. For how many weeks will Steven need to deposit money into his savings account before he can pay back his sister and buy the bike?
A. 18 weeks
B. 12 weeks
C. 14 weeks
D. 15 weeks

Answers

Hello! So to solve this problem, we will first have to add 2 deposits of $40 in his bank account. Then, we can take away $65 from that amount, and leave him with $15 left in 2 weeks. Then, we can add 10 weeks of $40 for $400, and get $415 in the bank in 12 weeks. Then, you can add an extra $80 from the last 2 weeks to finally reach $495. It will take Steven 14 weeks to be able to pay back his sister and the bike. The answer is C: 14 weeks.

Which type of statement switches and negates the hypothesis and the conclusion of the original conditional statement?

Question 1 options:

Converse

Inverse

Contrapositive

Biconditional

Answers

Inverse

Inverse - is a conditional statement that NEGATES both the hypothesis and the conclusion of the original conditional statement.

Which graph represents the solution set of the system of inequalities?

{y>−2x−2
y ≤ x+4

Answers

Answer:

Its the first gragh

Step-by-step explanation:

Graph D is a correct choice.

We have a set of inequalities -

y > − 2x − 2

y ≤ x + 4

We have select the graph that represents the solution set of the system of inequalities.

What is an Inequality in mathematics ?

An inequality compares two values or expressions, showing if one is less than, greater than, or simply not equal to another value.

According to the question, we have -

y > − 2x − 2

Let → y = -2x - 2

Now, plot the graph of the line → y = - 2x - 2 with a Dotted line ( > is a strict inequality).

Assume a point (0,0) -

0 > - 2 x 0 - 2

0 > -2

Which is true, hence shade the area where the point (0, 0) lies.

y ≤ x + 4

Let → y = x + 4

Now, plot the graph of the line → y = x + 4 on the graph.

Assume a point (0,0) -

0 ≤ 0 + 4

0 ≤ 4

Which is true, hence shade the area where the point (0, 0) lies.

Refer to the image attached for final graph - the area under the Red thick line is common to both and is the solution set of system of inequalities.

Hence, Graph D is a correct choice.

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$48 increase by 25%

Answers

48 * 1.25
60

Hope this helps!

What is the expression x - 4 represents a negative integer. What integers could X represent?

Answers

The expression x-4 will come out to be a negative integer. That means X has to be something that when 4 is taken away from it, the answer is still negative.

Let's try 5.
5-4 is 1. Is 1 negative? No, so that doesn't work.
4-4 is 0. 0 isn't negative either, so that doesn't work.
3-4 is -1. Is -1 negative? YES! Let's try it for 2 as well, just to be safe.
2-4 is -2. Still negative.

X can be anything less than 4.

Answer:

Integers between (-∞, 4)

Step-by-step explanation:

Negative Integer is integers whose value is less than 0 i.e. -1, -2, -3, -4,.... so on.

The expression x - 4 will be negative if x is less than 4.

For Example, if we take integers greater than 4 or equal to 4 as the value of x then,

5 - 4 = +1 which is not a negative integer

4 - 4 = 0 which is again not a negative integer.

But, if we take x as less than 4 then we get,

2 - 4 = -2 i.e. negative integer

-3 - 4 = -7 i.e. also negative integer.

So, for all value of x which is less than 4, we will get a negative integer.

|X+4|=4

|X+4|=-4

Plz help

Answers

|X+4|=4

x = 4-4 = 0

|X+4|=-4 no solution since the lines are absolute value which would be a positive number

Find all the points on the curve y = 4x^4 − 8x^2 + 16x + 7 such that the tangent line to the curve is parallel to the line 16x − y + 5 = 0.

Answers

hello :
the tangent has same slope of the line 16x -y +5 = 0 because parallel.
y = 16x + 5
the slope is : 16
but : f'(x) = 16
f'(x) = 16x^3 - 16x +16
solve : 16x^3 - 16x +16 = 16
x^3 - x +1 =1
x^3 - x = 0
x(x² - 1 ) =0
x(x -1 )(x +1) =0
x=0 or x-1 =0 or x +1= 0
x=0 or x = 1 or x = -1
if : x = 0 : y = 4(0)^4 -8(0)^2+16(0) +7 =7
if : x =1 : y = 4(1)^4 -8(1)^2+16(1) +7 = 19
if : x = -1 : y = 4(-1)^4 -8(-1)^2+16(-1) +7 = -13
the points : A(0,7) , B(1 , 19) , c ( -1 , -13)

I need solve each system by substitution 4x+2y=7;y=5x

Answers

To solve the system if equations substitute the given values and simplify:

4x+2y=7
y=5x

To start off we are given what h equals already so we do not have to solve for it. This means we can just plug in its values into the first equation.

4x+2(5x)=7
Solve for x
4x+10x=7
14x=7
x=7/14
x=1/2

Now that we have an x value substitute back into the second equation to find the y value and be able to create a coordinate point.

y=5x
y=5(1/2)
y=5/2
y=2.5

So your answer would be
(1/2,5/2) or (0.5,2.5)

I hope this helps!

Final answer:

To solve the system of equations by substitution, substitute the value of y from the second equation into the first equation. The solution is x = 1/2 and y = 5/2 or 2.5.

Explanation:

To solve the system of equations by substitution, we substitute the value of y from the second equation into the first equation.

Given that y = 5x, we can substitute this value into the first equation:

4x + 2(5x) = 7

Simplifying the equation:

4x + 10x = 7

Combine like terms:

14x = 7

Divide both sides by 14:

x = 7/14

Simplify:

x = 1/2

Now substitute this value of x back into the second equation to find y:

y = 5(1/2)

Simplify:

y = 5/2 or y = 2.5

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Write the sum using summation notation, assuming the suggested pattern continues. -8 - 3 + 2 + 7 + ... + 67

summation of the quantity negative eight plus five n from n equals zero to fifteen

summation of negative forty times n from n equals zero to infinity

summation of negative forty times n from n equals zero to fifteen

summation of the quantity negative eight plus five n from n equals zero to infinity

Answers

-8 - 3 + 2 + 7 + ... + 67 hmm... so the first term's value is -8. If you notice, it went from -8, to -3 and then +2 and so on.... you can always get the "common difference" d by simply getting the difference of two terms, so d = +2 -(- 3) ----> d = +2+3 ----> d = 5.

now.. the last value is 67.. but what term is that anyway?

well, let's use the arithmetic sequence equation to see who that is.

[tex]\bf n^{th}\textit{ term of an arithmetic sequence}\\\\ a_n=a_1+(n-1)d\qquad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ d=\textit{common difference}\\ ----------\\ a_1=-8\\ d=5\\ a_n=67 \end{cases} \\\\\\ a_n=-8+(n-1)5\implies 67=-8+(n-1)5 \\\\\\ 67=-8+5n-5\implies 67=-13+5n\implies 80=5n \\\\\\ \cfrac{80}{5}=n\implies \boxed{16=n}[/tex]

so, is the 16th term alrite.. .hmmm, so it begins with -8, then keeps on adding 5 16 times

[tex]\bf \sum\limits_{n=1}^{16}~-8+(n-1)5\implies \sum\limits_{n=1}^{16}~5n-13[/tex]

both forms are the same, so.. hmm it depends on how simplified you need it.

Final answer:

Explanation of summation notation using examples and patterns for different expressions.

Explanation:

Summation notation:

First sum: The sum is calculated using the formula: Σ(-8 + 5n) from n = 0 to 15.

Second sum: The sum can be expressed as Σ(-40n) from n = 0 to ∞ (infinity).

Third sum: The sum is Σ(-40n) from n = 0 to 15.

Fourth sum: The sum is given by Σ(-8 + 5n) from n = 0 to ∞.

Which distribution exhibits a negative skew?

Answers

Answer:

In PLATO the answer is B

Step-by-step explanation:

Notice that all of the values start high at 0 and gradually get lower until 8

Answer: took the test

Step-by-step explanation:

Mr. Delong's drama class is planning a field trip to see a Mozart's famous opera Don Giovanni. Tickets cost $39 each, and there are 23 students and 2 teachers going on the field trip. Write and evaluate an expression to find the groups total ticket cost.

Answers

Since it was not mentioned in the problem, we can safely assume that the costs of tickets for students and teachers are just equal. Let's denote this total cost as variable x. The equation for the total cost would be:

x = 39(2) + 39(23)
x = 78 + 897
x = $975

So, the total cost of tickets for all is $975.

The total ticket cost for Mr. Delong's drama class to attend Mozart's opera Don Giovanni, with 23 students and 2 teachers at $39 per ticket, is $975.

To calculate the total ticket cost for Mr. Delong's drama class field trip to see Mozart's opera Don Giovanni, we need to combine the number of students and teachers going to find out how many tickets in total need to be purchased. There are 23 students and 2 teachers, so that's a total of 25 people needing tickets. The cost per ticket is $39.

The expression to find the total ticket cost is (Number of Students + Number of Teachers) x Cost per Ticket, which translates to (23 + 2) x $39.

Doing the math: (25) x $39 = $975.

Therefore, the group's total ticket cost for attending the opera will be $975.

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