Quadrilateral LMNO is a parallelogram, and LM=24-9 and NO=y-2, find the value of "y" and the length of NO.

Answers

Answer 1

Answer:

y = 7

NO = 5

Step-by-step explanation:

Let the side of the parallelogram LM and NO given be 2y - 9 and y - 2

Since LMNO is a parallelogram, hence;

LM = NO

2y - 9 = y - 2

2y - y = -2 + 9

y = 7

Since NO = y - 2

NO = 7 - 2

NO = 5


Related Questions

Can you answer the question in the picture please?

Answers

Answer:

D)

Step-by-step explanation:

5x5+5=30

8x9+7=79

24x3+28=100

Find the number exactly halfway between 1/5 and9/10

Answers

I am not pretty sure of the answer but maybe it's 5/10

Answer:

the number half way between 1-5 is 3. and the number half way between 9/10 is 9.5

Step-by-step explanation:

to find the number half way between 1/5 just write out all the numbers (1 2 3 4 5) and 3 is the halfway point because there are two numbers on the right and to numbers on the left

the number halfway between 9 and 10 is 9.5. all you do is add 9 +10 then divide by 2

9+10=19

19÷2= 9.5

What is the answer to 10 to the power of 8

Answers

Answer:

Step-by-step explanation:

10^8

it means multiply 10 8 times so

10*10*10*10*10*10*10*10

=100000000

The 2nd term of an arithmetic progression is (1/2) and the sum of the first 14th terms is -70. Find
(a) the common difference
(b) the last term.​

Answers

Answer:

The common difference is -1.

The last term (the 14th term) is -11.5.

Step-by-step explanation:

In an arithmetic sequence, the second term is 0.5 and the sum of the first 14 terms is -70.

We want to determine the: (a) common difference and (b) the last term.

We can write an explicit formula to represent the sequence. An arithmetic sequence can be modeled by the formula:

[tex]\displaystyle x_n=a+d(n-1)[/tex]

Where a is the initial term, d is the common difference, and n represents the nth term.

Since the second term is 0.5:

[tex]x_2=0.5=a+d(2-1)[/tex]

Simplify:

[tex]x_2=0.5=a+d[/tex]

The sum of an arithmetic sequence is given by the formula:

[tex]\displaystyle S=\frac{k}{2}\left(a+x_k\right)[/tex]

Where k is the number of terms and x_k is the last term.

Since the sum of the first 14 terms is -70, S = -70 and k = 14:

Using our explicit formula, the last term is:

[tex]x_{14}=a+d(14-1)=a+13d[/tex]

Substitute:

[tex]\displaystyle -70=\frac{14}{2}(a+(a+13d))[/tex]

Simplifiy:

[tex]-10=2a+13d[/tex]

Rewrite the equation for the second term:

[tex]a=0.5-d[/tex]

Substitute:

[tex]-10=2(0.5-d)+13d[/tex]

Simplify:

[tex]-10=1-2d+13d[/tex]

Solve for d:

[tex]d=-1[/tex]

Hence, our common difference is -1.

Solve for a, the initial term:

[tex]a=0.5-(-1)=1.5[/tex]

So, our explicit formula is now:

[tex]x_n=1.5-1(n-1)=1.5-n+1=2.5-n[/tex]

So, the last term (which is 14) is:

[tex]x_{14}=2.5-(14)=-11.5[/tex]

6 ( 7y - 5) simplified

Answers

Answer:

42y-30

Step-by-step explanation:

here you go

140.23 < 140.203 what is the answer true or false.

Answers

Answer:

true

Step-by-step explanation:

Answer:

false because 140.23 is not less then 140.203

What is the 9th row of Pascal's Triangle?

Group of anwers

1,10,45,120,200,252,200,120,45,10,1

1,8,28,56,70,56,28,8,1

1,9,36,84,126,126,84,36,9,1

Pascal's Triangle does not have 9 rows.

Answers

Answer:

Pascal triangle is infinite, and the answer to this question is the 1,9,6,84,126,126,84,36,9,1

Step-by-step explanation:

in the pascal triangle the first row start with 0.

The slope of the line that contains the points (4, 10) and (5, 13) is 3. Find the y-intercept.

A. -26

B. -2

C. 8

D. 34


The slope of the line that contains the points (-2, -1) and (3, 19) is 4. Find the y-intercept.
A. -7
B. -2
C. 2
D. 7

Answers

Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3 , then

y = 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation.

Using (4, 10 ) , then

10 = 12 + c ⇒ c = 10 - 12 = - 2 → B

D

Given m = 4 then

y = 4x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (3, 19 ), then

19 = 12 + c ⇒ c = 19 - 12 = 7 → D

PLEASE HELP! ( no random links )

“How many servings of fruit did you eat yesterday?” Is this a statistical question or non-statistical question?

Answers

Answer:

This is not a statistical question

Step-by-step explanation:

A statistical question is a question the gathers varying data

Mr. Cobb is carpeting a 17.7 m long hallway. He has a piece of carpet 22 m long. How much does Mr. Cobb need to cut off the length of the piece of carpet?​

Answers

Answer:5.7

Step-by-step explanation:

What are the adjacent and vertical pairs in this picture

Answers

Answer:

Step-by-step explanation:

Two line segments AD and CE intersects at a point B.

Two angles which represent the pair of adjacent angles are,

∠ABC and ∠DBC

Pair of vertical angles (Opposite angles between two intersecting lines) is,

∠ABE and ∠CBD

Pls answer quick 45 points :))

Answers

Answer:

5

Step-by-step explanation:

PLEASE HELP ASAP NOO LINKS!!!

Answers

Answer:

b

Step-by-step explanation:

1,2,3,5 and 7 are all common factors of two numbers. Write down the digit that the two numbers must end in?

Answers

9, anddddddddd 11 get that down

Good morning, can someone help me solve this problem? I already did some of it but I need help, thank you

Answers

Answer:   (-4, -1)

This means x = -4 and y = -1 pair up together.

======================================================

You're on the right track. You'll replace the 'x' with 3y-1, but you made a typo. I think you meant to write the subtraction symbol instead of the equal sign.

Here's what your steps could look like

-2x + 5y = 3

-2(3y-1) + 5y = 3

-6y + 2 + 5y = 3

-y + 2 = 3

-y = 3-2

-y = 1

y = -1

x = 3y-1

x = 3(-1) - 1

x = -3-1

x = -4

Therefore, (x, y) = (-4, -1) is the solution

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

As the steps above show, I replaced each copy of x in the second equation with (3y-1). This is due to x = 3y-1. From there, we isolate y. Once you determine that y = -1, it's plugged into the first equation to find x.

If you were to graph x = 3y-1 and -2x+5y = 3 on the same xy coordinate grid, then the two lines would intersect at (-4, -1)

Also, note how plugging x = -4 and y = -1 into the second equation leads to...

-2x+5y = 3

-2(-4)+5(-1) = 3

8 - 5 = 3

3 = 3

We get the same value on both sides, so that verifies the second equation. I'll let you verify the first equation.

Verify that:
1. (CosX)(CotX) = CscX - SinX

2. (Csc X - CotX)^2 = 1-CosX/1+CosX

These were the last two questions on my Homework that I couldn’t figure out after many tries! Thank you to anyone who helps!

Answers

Answer:

See Below.

Step-by-step explanation:

Problem 1)

We want to verify that:

[tex]\displaystyle \left(\cos(x)\right)\left(\cot(x)\right)=\csc(x)-\sin(x)[/tex]

Note that cot(x) = cos(x) / sin(x). Hence:

[tex]\displaystyle \left(\cos(x)\right)\left(\frac{\cos(x)}{\sin(x)}\right)=\csc(x)-\sin(x)[/tex]

Multiply:

[tex]\displaystyle \frac{\cos^2(x)}{\sin(x)}=\csc(x)-\sin(x)[/tex]

Recall that Pythagorean Identity: sin²(x) + cos²(x) = 1 or cos²(x) = 1 - sin²(x). Substitute:

[tex]\displaystyle \frac{1-\sin^2(x)}{\sin(x)}=\csc(x)-\sin(x)[/tex]

Split:

[tex]\displaystyle \frac{1}{\sin(x)}-\frac{\sin^2(x)}{\sin(x)}=\csc(x)-\sin(x)[/tex]

Simplify:

[tex]\csc(x)-\sin(x)=\csc(x)-\sin(x)[/tex]

Problem 2)

We want to verify that:

[tex]\displaystyle (\csc(x)-\cot(x))^2=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Square:

[tex]\displaystyle \csc^2(x)-2\csc(x)\cot(x)+\cot^2(x)=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Convert csc(x) to 1 / sin(x) and cot(x) to cos(x) / sin(x). Thus:

[tex]\displaystyle \frac{1}{\sin^2(x)}-\frac{2\cos(x)}{\sin^2(x)}+\frac{\cos^2(x)}{\sin^2(x)}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Factor out the sin²(x) from the denominator:

[tex]\displaystyle \frac{1}{\sin^2(x)}\left(1-2\cos(x)+\cos^2(x)\right)=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Factor (perfect square trinomial):

[tex]\displaystyle \frac{1}{\sin^2(x)}\left((\cos(x)-1)^2\right)=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Using the Pythagorean Identity, we know that sin²(x) = 1 - cos²(x). Hence:

[tex]\displaystyle \frac{(\cos(x)-1)^2}{1-\cos^2(x)}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Factor (difference of two squares):

[tex]\displaystyle \frac{(\cos(x)-1)^2}{(1-\cos(x))(1+\cos(x))}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Factor out a negative from the first factor in the denominator:

[tex]\displaystyle \frac{(\cos(x)-1)^2}{-(\cos(x)-1)(1+\cos(x))}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Cancel:

[tex]\displaystyle \frac{\cos(x)-1}{-(1+\cos(x))}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Distribute the negative into the numerator. Therefore:

[tex]\displaystyle \frac{1-\cos(x)}{1+\cos(x)}=\displaystyle \frac{1-\cos(x)}{1+\cos(x)}[/tex]

Point s is locaded 5 units to the right of point t plot the point that represents the location of point s select the place on the coordinate plane to plot the point

Answers

Answer:

See attachment for plot

Step-by-step explanation:

Given

[tex]t = (-1,2.5)[/tex] ---- coordinates of t

s = 5 units to the right of t

Required

Plot s

First, we determine the coordinate of s

The rule to translate a point to the right is:

[tex](x,y) \to (x + h,y)[/tex]

Where h is the number of units

i.e.

[tex]h= 5[/tex]

So, we have:

[tex]s = (-1 + 5, 2.5)[/tex]

[tex]s = (4, 2.5)[/tex]

See attachment for plot

Which radio costs 150% as much as Radio D?

Answers

Im just geussing but i think its b

Write a system of linear inequalities represented by the graph.​

Answers

Answer:

Alright so youd havee to right the terms in order which should be easy then your done! Hope this helped!

Step-by-step explanation:

PLS HELP WILL MARK BRAINLEST IF UR CORRECT

Answers

I think it’s a carrot

Answer:

52. (0,-3)

53. Slope= 4

54. Y=4x-3

pls help me with these and can you do them all and mitch you show me how to and I don't care if you use photo math thank you and use give me the best will be thank and brainlist.

Answers

Show the thing that you need to solve
Show the problems needed to be solved and I would be more glad than to help you love

Help! How do I find AC in this equation?

Answers

Answer:

33

Step-by-step explanation:

add 25 & 8 together

Answer:

SEE IMAGE FOR SOLUTION

Hope it helps

Have a great day

Can someone tell me what I did wrong?

Answers

Answer:

The answer is 12 feet. .

Step-by-step explanation:

You have to multiply 3/4 or 0.75 by the number of tiles. So you would go, 0.75 x 10 and then 0.75 x 6 and add the answers together.

ASAP can one of y’all help me do surface how do you do it

Answers

Answer:

false

Step-by-step explanation:

solid A surface area-112

solid B surface area-136

to find the surface area of a rectangular prism the equation is  2(lw + lh + wh)

Solid A  4*8+4*2+8*2

32+8+16

56*2=112

Solid B 2*2+2*16+2*16

4+32+32

68*2=136

Andrea bought 1 2/5 pounds of avocados at $4.20 per pound and ​ 2 1/
4 ​pounds of asparagus at $3.80 per pound.

What was her total cost?

Answers

Answer:

$14.43¢

Step-by-step explanation:

We are given; [tex]1\frac{2}{5}[/tex] pounds, 1 pound = $4.20 and [tex]2\frac{1}{4}[/tex] pounds,1 pound = $3.80 that Andrea bought.

Now we need to find her total cost. To do that, we must first find the cost of the avocados. To do so, let us set up a graph. But before that is done, convert [tex]1\frac{2}{5}[/tex] to a decimal. It is 1.4. Now we can set up a graph.

Avocados

[tex]\frac{4.2}{1}=\frac{x}{1.4}[/tex]

Switch sides

[tex]\frac{x}{1.4}=\frac{4.2}{1}[/tex]

Apply rule: [tex]\frac{a}{1}=a[/tex]

[tex]\frac{x}{1.4}=4.2[/tex]

Multiply both sides by 1.4

[tex]\frac{1.4x}{1.4}=4.2\cdot \:1.4[/tex]

Simplify

[tex]x=5.88[/tex]

So, her cost for avocados is $5.88¢

Now we must first find the cost of the avocados. To do so, let us set up a graph. But before that is done, convert [tex]2\frac{1}{4}[/tex] to a decimal. It is 2.25. Now we can set up a graph.

Asparagus

[tex]\frac{3.8}{1}=\frac{x}{2.25}[/tex]

Switch sides

[tex]\frac{x}{2.25}=\frac{3.8}{1}[/tex]

Apply rule : [tex]\frac{a}{1}=a[/tex]

[tex]\frac{x}{2.25}=3.8[/tex]

Multiply both sides by 2.25

[tex]\frac{2.25x}{2.25}=3.8\cdot \:2.25[/tex]

Simplify

[tex]x=8.55[/tex]

So, her cost for asparagus is $8.55¢

Total cost

Now that we have found out how much both of the fruits Andrea bought costs, we need to sum it up (meaning add it) to find the total cost:

$5.88¢ + 8.55¢ =

5.88 + 8.55 = 14.43

Therefore, Andrea's total cost of the fruits is $14.43¢

You invested $680 at 2.7% compounded monthly. How much money do you have after
8 years? Estimate your answer to two places after the decimal, if necessary.

Answers

Answer:

$843.74

Step-by-step explanation:

A = P (1 + r/n)^nt

A = 680(1 + 0.027/12)^12·8

A = 680( 1.00225)^96

A = 843.74

4.


Which graph represents the following system of equations?

y = 3x + 3
y = –x – 3


A. Graph c


B. Graph b


C. Graph d


D. Graph a

Answers

Answer:  Graph D (bottom right corner)

======================================================

Explanation:

The equation y = 3x+3 is in slope intercept form y = mx+b

m = 3 = slope

b = 3 = y intercept

In this case, both the slope and y intercept are the same (though in general they tend not to be).

The positive slope value means the line goes uphill as you move from left to right. The positive y intercept means the diagonal line crosses the y axis somewhere above the horizontal x axis. Specifically, it crosses the y axis at y = 3

Graph D is the only graph that has such a line on it. Graphs A, B and C have the positive slope line where they have a negative y intercept, so we can rule them out.

You can use graphing tools such as Desmos or Geogebra to help confirm this answer. You could also make a table of values, and plot each point, to form the lines. Two points is the minimum amount needed to form any line.

Answer:

Step-by-step explanation:

Answer:

See picture attached below.

Step-by-step explanation:

To graph the system, graph each line separately.

y = 3x + 3 ha slope 3 and y-intercept 3.

Start at 3 on the y-axis and mark a point. Then from this point move up 3 units and to the right 1 unit. Mark a point and connect.

y=-x - 3 has slope -1 and y-intercept -3.

Start at -3 on the y-axis and mark a point. Then from this point move down 1 unit and to the right 1 unit. Mark a point and connect.

This graph is represented in the picture attached.

...............................................................................................................................................

Which graph represents the following system of equations?

y = 3x + 3

y = –x – 3

...............................................................................................................................................

y=x−8

​y=12x−5​

...............................................................................................................................................

Graph of 2 lines that intersect at one point. Both lines are solid. One line passes through (-2,2) and (0,3) and is shaded below the line.

y < = 1/2x + 3...(-2,2)                y < = 1/2x + 3....(0,3)

2 < = 1/2(-2) + 3                        3 < = 1/2(0) + 3

2 < = -1 + 3                                3 < = 0 + 3

2 < = 2 (correct)                        3 < = 3 (correct)

The other line passes through points (0,1) and (1,-2) and is shaded above the line.

y > = -3x + 1...(0,1)            y > = -3x + 1...(1,-2)

1 > = -3(0) + 1                   -2 > = -3(1) + 1

1 > = 0 + 1                         -2 > = -3 + 1

1 > = 1 (correct)                 -2 > = -2 (correct)

...............................................................................................................................................

we have

using a graph tool

see the attached figure

The solution of the system is the shaded area

we know that

The line is solid

The line passes through points  and  and is shaded above the line.

The line is solid

The line passes through points  and  and is shaded below the line

The two lines intersect at one point

therefore

the answer is the option

B) Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded above the line.

AABC has vertices at (1,5), (4,8), and (16, 12). A second triangle, ADEF, has vertices at (4, 20), (16, 32), and (64, 48). If the two triangles are related by a dilation factor, which of the following could be a rule for the dilation?
Select one:

O (I,y) → (4x, 4y)

0 (x,y) → (6x, 6y)

O (x,y) → (2, y)

0 (r,y) → (16x, 16y)​

Answers

Answer: the first one

Step-by-step explanation:

(x,y)->(4x, 4y)

A library labels each book with a six-character code to identify the book in its computer system. The first character is either a letter or digit, and this is followed by three digits, then two letters. How many different codes are possible

Answers

Answer: There are 24336000 different codes that are possible.

Step-by-step explanation:

We know that,

Total alphabets = 26

Total digits = 10

Choices for First place = 26+10=36

Choices for next 3 places = 10 x 10 x 10 = 1000

Choices for last 2 places = 26 x 26 = 676

Total different codes are possible = 36 x 1000 x 676

=24336000

Hence, there are 24336000 different codes that are possible.

Plz help down below is the question

Answers

Answer:

The answer would be exactly 250 messages.

0.50 × x = $125

125÷ 0.50=250

Hope this helps!

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