ACFG is a parallelogram, If AX = 4y + 3 and XF = 2y + 7, find AX.

ACFG Is A Parallelogram, If AX = 4y + 3 And XF = 2y + 7, Find AX.

Answers

Answer 1

Answer:

AX=XF

4y+3=2y+7

4y-2y=7-3

2y=4

y=2

then,

AX=4y+3

=4×2+3

=8+3

=11

Answer 2

The value of length AX of parallelogram is 11.

What is  parallelogram?

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposite sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side. 360 degrees is the sum of all interior angles.

∵ ACFG is a parallelogram, therefore length of diagonal will be equal

∴AX = XF

4y+3 = 2y+7

4y-2y = 7-3

2y = 4

y = 2

Therefore, length of AX is :

AX = 4y+3

     = 4×2+3

     = 11

option (c) is correct answer

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Related Questions

2y - x = -8
Put it in line slope-intercept simplifying all fractions

Answers

2y-x=-8
2y=x-8
y=1/2x-4 is the slope intercept form

The function f(x) is a quadratic function and a limited table of values is provided
below. Write the equation of the quadratic polynomial in standard
form.

Answers

Answer:

x^2 - x - 12

Step-by-step explanation:

The quadratic will have the form f(x) = ax^2 + bx + c

Note that when x = 0, y = -12.  Thus, we have f(0) = a(0)^2 + b(0) + c = -12, and the function (so far) is f(x) = ax^2 + bx - 12.

Arbitrarily choose two more ordered pairs from the table.  I've chosen (-3, 0) and (-4, 8).

For (-3, 0), the quadratic becomes 0 = a(-3)^2 + b(-3) - 12, or:

0 = 9a - 3b, and

For (4, 8), f(4) = 8 = a(4)^2 + b(8), or 8 = 16a + 8b, or 1 = 2a + b, or b = 1 - 2a

Solve 0 = 16a + 4b and b = 1 - 2a for a and b.

Let's use substitution:   Substitute b = 1 - 2a into 0 = 9a - 3b or 3a - b = 0:

3a - 1 - 2a = 0, or a = 1.

Since b = 1 - 2a, we get b = 1 - 2(1) = -1

and so a = 1, b = -1 and c = -12

Then the polynomial must be:  x^2 - x - 12

Solve please, ill mark brainliest. Its easy

Answers

Answer:

[tex] - 76\frac{1}{2} [/tex]

Step-by-step explanation:

to understand thisyou need to know about:pre-algebraPEMDASgiven:

[tex] \frac{a}{b} - {a}^{b} [/tex][tex]a = 9[/tex][tex]b = 2[/tex]let's solve:

[tex]step - 1 : define[/tex]

[tex] \frac{a}{b} - {a}^{b} [/tex]

[tex]step - 2 : \\ substitute \: the \: given \: value \: of \: a \: and \: b \: into \: the \: equation[/tex]

[tex]step - 3 : simplify [/tex]

[tex] \frac{ 9 }{2} - {9}^{2} [/tex]

[tex] \frac{9}{2} - 81[/tex]

[tex] \frac{9 - 162}{2} [/tex]

[tex] - \frac{153}{2} [/tex]

[tex] - 76\frac{1}{2} [/tex]

What your favorite movie? also what is 144/6

Answers

Answer:

144/6 is 24 and my fav movie is coraline

Step-by-step explanation:


Identify the constant of
proportionality for the
table below.

Answers

Answer:

7

Step-by-step explanation:

9-4=5
4-2=2
2+9=11
11-5=6



63-28=35
28-14=14
14+63=77
77-28=49

6/49

In ΔLMN, n = 92 inches, ∠N=46° and ∠L=11°. Find the length of l, to the nearest inch.

Answers

Answer:

24 inches

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.

Sine rule states that given a triangle with sides a, b, c and their corresponding angles opposite to the sides as A, B, C. Then:

[tex]\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex]

In triangle LMN:

We can find the length of l using sine rule:

[tex]\frac{l}{sinL}=\frac{n}{sinN} \\\\substituting:\\\\\frac{l}{sin(11)}=\frac{92}{sin(46)} \\\\l=\frac{92}{sin(46)}*sin(11)\\\\k=24\ inches \\[/tex]

I need help on this question
If someone could help me please and thank you!

Answers

Answer:

56 degrees

Step-by-step explanation:

A straight angle is 180 degrees

91 + 33 = 124

180 - 124 = 56

Check:

124 + 56 = 180

Answer:

C=56

Step-by-step explanation:

You subtract the sum of 33 + 91 from 180 which would you give you c=56

How much will it cost someone to finish these 37 problems showing work for every problem. The answers are there but I need to show work. On a lined paper.

Answers

answer:

you mean money? then i would take like 10-15 dollars, cause that is a LOT of work.

https://files-cdn.schoology.com/eff1043385e13ac014eaf6e69f84525b?content-type=app

Answers

Answer:

srry i need points

Step-by-step explanation:

Answer:k

Step-by-step explanation:

k

NEED HELP NOW! 5 questions, 76 points!


1.
Given points B(−12,2), T(−8,10), A(−7,12), F(−6,10), and G(−2,2), which of the following proves that △BAG~△TAF?


2.
Given points A(2,1), B(1,4), C(−1,10), D(8,13), and E(4,5), which of the following proves that △ABE~△ACD?
Answers:

By the Distance Formula,AB=310‾‾‾√,AC=10‾‾‾√, AE=65‾√, and AD=25‾√. Since, ABAC=AEAD=13, and ∠A≅∠A by the Reflexive Property, △ABE∼△ACD by SAS ∼.


By the Distance Formula,AB=310‾‾‾√,AC=10‾‾‾√, AE=65‾√, and AD=25‾√. Since, ABAC=AEAD=13, and ∠A≅∠A by the Reflexive Property, △ABE∼△ACD by SSS ∼.

By the Distance Formula,AB=10‾‾‾√,AC=310‾‾‾√, AE=25‾√, and AD=65‾√. Since, ABAC=AEAD=13, and ∠A≅∠A by the Reflexive Property, △ABE∼△ACD by SSS ∼.

By the Distance Formula,AB=10‾‾‾√,AC=310‾‾‾√, AE=25‾√, and AD=65‾√. Since, ABAC=AEAD=13, and ∠A≅∠A by the Reflexive Property, △ABE∼△ACD by SAS ∼.



3.
Given points M(1,2), N(4,4), P(5,−1), J(−7,−1), K(−1,3), and L(1,−7), which of the following proves that △MNP≈△JKL?
Answers:

By the Distance Formula,MN=13‾‾‾√,NP=26‾‾‾√, and PM=5.Also, JK=213‾‾‾√,KL=226‾‾‾√, and LJ=10.Therefore, MNJK=NPKL=PMLJ=12, andtherefore, △MNP∼△JKL by SAS ∼.

By the Distance Formula,MN=13‾‾‾√,NP=26‾‾‾√, and PM=5.Also, JK=213‾‾‾√,KL=226‾‾‾√, and LJ=10.Therefore, MNJK=NPKL=PMLJ=12, andtherefore, △MNP∼△JKL by SSS ∼.

By the Distance Formula,MN=13,NP=26, and PM=25.Also, JK=52,KL=104, and LJ=100.Therefore, MNJK=NPKL=PMLJ=14, andtherefore, △MNP∼△JKL by SSS ∼.

By the Distance Formula,MN=13,NP=26, and PM=25.Also, JK=52,KL=104, and LJ=100.Therefore, MNJK=NPKL=PMLJ=14, andtherefore, △MNP∼△JKL by SAS ∼.



4.
Given points M(−5,5), R(−2,6), I(−2,4), B(2,−2), A(8,0), and G(8,−4), which of the following proves that △MRI~△BAG?
Answers:

By the Distance Formula,MR=10‾‾‾√,RI=2, and IM=10‾‾‾√.Also, BA=210‾‾‾√,AG=4, and GB=210‾‾‾√.Therefore, MRBA=RIAG=IMGB=10√210√=12,and therefore, △MRI~△BAG by SSS ~.

By the Distance Formula,MR=10,RI=2, and IM=10.Also, BA=40,AG=8, and GB=40.Therefore, MRBA=RIAG=IMGB=1040=14,and therefore, △MRI∼△BAG by SSS ∼.

By the Distance Formula,MR=2,RI=10, and IM=10.Also, BA=8,AG=40, and GB=40.Therefore, MRBA=RIAG=IMGB=1040=14,and therefore, △MRI∼△BAG by SAS ∼.

By the Distance Formula,MR=10‾‾‾√,RI=2, and IM=10‾‾‾√.Also, BA=210‾‾‾√,AG=4, and GB=210‾‾‾√.Therefore, MRBA=RIAG=IMGB=10√210√=12,and therefore, △MRI∼△BAG by SAS ∼.



5.
Given points L(−2,−2), A(−6,−3), U(−14,−5), X(4,−5), and P(0,−3), which of the following proves that △XUL~△PAL?

By the Distance Formula,LX=317‾‾‾√,PL=17‾‾‾√, LA=5‾√, and LU=35‾√. Since, LXPL=LULA=31=3, and ∠L≅∠L by the Reflexive Property, △XUL∼△PAL by SSS ∼.

By the Distance Formula,LX=35‾√,PL=5‾√, LA=17‾‾‾√, and LU=317‾‾‾√. Since, LXPL=LULA=31=3, and ∠L≅∠L by the Reflexive Property, △XUL∼△PAL by SAS ∼.

By the Distance Formula,LX=35‾√,PL=5‾√, LA=17‾‾‾√, and LU=317‾‾‾√. Since, LXPL=LULA=31=3, and ∠L≅∠L by the Reflexive Property, △XUL∼△PAL by SSS ∼.

By the Distance Formula,LX=317‾‾‾√,PL=17‾‾‾√, LA=5‾√, and LU=35‾√. Since, LXPL=LULA=31=3, and ∠L≅∠L by the Reflexive Property, △XUL∼△PAL by SAS ∼.

Answers

Answer:

Q1: 5, 5 SAS

Step-by-step explanation:

Q2: 10 sas

Q3:13 sss

Q4: 10 sss

Q5: 35 sas

The coffee shop on the corner of the street has 14 cheese croissants and 21 plain croissants. If
buy 1 cheese croissant will the ratio of each cheese croissant to plain croissant remain the
same? Explain your answer."

Plss helpppp

Answers

No because you are taking away from the amount of cheese croissants, meaning that thw ratio will reduce(decrease)

What does 2 to the power of 8 equal?

Answers

Answer:

2^8 is equal to 256

Step-by-step explanation:

9(-10y+10)+4y

SIMPLIFY

Answers

Answer:

9(-10y+10)+4y

1. Simplify

9(-10y+10)+4y

 -90y+90+4y

2. Combine the terms

Solution

-86y+90

Point B (-4,4) and D (10,4) lie on circle G. The line segment connecting the two points

Answers

Answer:

BD = 14units

Step-by-step explanation:

To get the distance of the line connecting the two points, we will use the formula for calculating the distance between two points

D = √(x2-x1)²-(y2-y1)²

D = √(10-(-4))²-(4-4)²

D = √(10+4)²

D = √(14)²

D = 14unit

Hence the distance between the two points is 14units

Use an area model to solve.

Answers

Answer:

1 25/27

Step-by-step explanation:

1 1/3 x 1 4/9 =?

convert to total fractions:

4/3 x 13/9 = ?

multiply

52/27 = ?

reduce

1 25/27

Use synthetic division
1.
(2x3 - 5x2 + 3x + 7) = (x - 2)

Answers

Answer:

Step-by-step explanation: that should help

Factorise 2x^2 + 5x + 2

Answers

Answer:

(x+2)(2x+1)

Step-by-step explanation:

x times 2x is 2x^2

x times 1 is x

2 times 2x is 4x

2 times 1 is 2

Overall

2x^2+x+4x+2

add x and 4x:

2x^2 + 5x + 2

So (x+2)(2x+1) is the answer

Answer:

( x + 2 ) , ( 2x + 1 )

Step-by-step explanation:

2x² + 5x +2

2x² + 4x + x +2

2x ( x + 2 ) +1 ( x + 2 )

( x + 2 ) , ( 2x + 1 )

hope it will help you

plz follow me

Determine the domain and range:
{(-9,0), (-6,0), (-4,0), (0,0), (3,0), (5,0)}

Answers

Answer:

Answers are below.

Step-by-step explanation:

From smallest to largest:-

Domain: {0, 3, 5, -4, -6, -9}

Range: {0}

Answer:

The domain is the set of all the values of x

The range is the set of all the values of y.

Domain:

{0,1,2,4,5,6,7,8}Range: {5,4,9,6,0}

Step-by-step explanation:

7 1 1 7 1 41
Mode ??
Median ??

Answers

Answer:

Mode is 1, Mean is 3.1 if the '41" is 1 and 4

Step-by-step explanation:

Describe fully the transformation that:

a) Maps B onto A
b) Maps A onto B​

Answers

Answer:

i think its maps b onto a

Step-by-step explanation:

yan kasi answer ko nun

PLEASE HELP ITS DUE TODAY!!

Answers

Answer:

a.) 0.671

b.) 0.985

c.) 0.137

Step-by-step explanation:

Ok..this is easy when you do it a specific way....

a.)

You can easily do 5 - 4.329 and it will give you 0.671.

Now you can do 5 - 0.671 and it will give you the answer as 4.329.

And you got your answer.

The missing value for equation a = 0.671.

b.)

You can easily do 1 - 0.015 and it will give you 0.985.

Now you can do 1 - 0.985 and it will give you the answer as 0.015.

And you got your answer.

The missing vaule for equation b = 0.985.

c.)

You can easily do 1 - 0.863 and it will give you 0.137.

Now you can do 1 - 0.137 and it will give you the answer as 0.863.

And you got your answer.

The missing value for equation c = 0.137

All you have to do is subtract the first number they gave you (the top one), with the actual answer the give you (at the bottom)

Hope this helped!

Have a supercalifragilisticexpialidocious day!

are the two angles congruent? please answer as quick as possible.​

Answers

Answer:

yes two angles are congruent

Yes the two angles are congruent because they have two pairs of congruent sides.

You and a friend join a gym. The registration fee is $30 and the monthly membership is $20. If the total bill for you and your friend is $420, how many months did you pay for?

Answers

Answer:

You payed for 18 months.

Step-by-step explanation:

420-60=360

360÷20=18

Jim buys a skateboard for $200. The value of the skateboard depreciates by 15% each year
since buying it. Create a function to represent the value of the skateboard, f(2), in dollars,
after 3 years since buying it.

Answers

Answer: f(x)=200•(0.85)^x

Step-by-step explanation:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the decaying rate, expressed in decimal

Depreciation is often modeled as an exponential decay function. Since Jim bought a skateboard for Co=$200, its value will depreciate by r=15% = 0.15 each year since buying it.

Which of the following are characteristics of the graph of the absolute value
parent function?
Check all that apply.
O A. It goes through the origin.
O B. The right half has a slope of -1.
O C. It is in quadrants I and II.
D. It is V-shaped.

Answers

Answer: C) It is in quadrants I and II

A) It goes through the origin

D) It is V-shaped

explanation: The graph of the absolute value parent function will be V-shaped. The absolute function is also known as the mode function. The value of the absolute function is always positive. The absolute function is given as f(x) = | x – h | + k

The graph of the absolute value parent function will be V-shaped.

The characteristics of the graph of the absolute value parent function are; A) It goes through the origin, C) It is in quadrants I and II and D) It is V-shaped

What is the absolute value function?

The absolute value function is defined by the following piecewise rule, depending on the input of the function:

|x| = x, x ≥ 0.

|x| = -x, x < 0.

This measures the distance of a point x to the origin, hence, for example, |-2| = |2| = 0, and has vertex at (0,0). The range is from the y-coordinate of the vertex to positive infinity.

Vertex (2, 0), Range: {y | 0 ≤ y < ∞}

Since graph of the absolute value parent function will be V-shaped. The absolute function is also known as the mode function.

The value of the absolute function is always positive. therefore the absolute function is given as ;

f(x) = | x – h | + k

The graph of the absolute value parent function will be ;V-shaped.

More can be learned about functions a;

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Writing Equations of Lines

Answers

Answer:

Please leave more information.

Step-by-step explanation:

6-6x=108
Can sum one help me I don’t know any of this

Answers

Step-by-step explanation:

6-6x=108

-6 from both sides

-6x=102

divide by -6 on both sides

x= -17

Please hellllpppp meeeee

Answers

Answer:

23.49

Step-by-step explanation:

107.04-83.55= 23.49

<
>
1. Natasha got raise on her hourly wage, and the grapn snows the amount of money she has made this year
since her fate of pay wag increased.
1250 +
1125 +
1000 +
875 +
750 +
Amount of Money Made (dollars)
625 +
500 +
375 +
250 -
125 +
0
10 20 30 40 50 60 70 80 90 100
Hours Worked Since Raise
Which of these statements must be correct based on the graph?
A. Before her raise, Natasha nmade $12.50 an hour.
B. Before her raise, Natasha made $25.00 an hour.
C. After her raise, Natasha makes $12.50 an hour.
D. After her raise, Natasha makes $25.00 an hour.

Answers

Answer:

I dont seem to know it either man

Step-by-step explanation:

Help


HELPPPPPP pls give explaiantikn or work pls pls pls pls brainliest

Answers

Answer:

Elizabeth had 30 stamps originally.

Step-by-step explanation:

Let,

x be the number of stamps Elizabeth have.

Number of stamps given to John = 1/6 of x = [tex]\frac{1}{6}x[/tex]

Remaining stamps = [tex]x-\frac{1}{6}x = \frac{6x-1x}{6} = \frac{5}{6}x[/tex]

Stamps given to Peter = 1/5 of remainder = [tex]\frac{1}{5}*\frac{5}{6}x = \frac{1}{6}x[/tex]

Number of stamps left = 20

Now,

[tex]\frac{1}{6}x + \frac{1}{6}x + 20 = x\\\\\frac{1x+1x+120}{6} = x\\\\\frac{2x+120}{6} = x\\\\2x + 120 = 6x \\\\120 = 6x - 2x \\\\120 = 4x \\4x = 120[/tex]

Dividing both sides by 4

[tex]\frac{4x}{4}=\frac{120}{4}\\x=30[/tex]

Hence,

Elizabeth had 30 stamps originally.

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