ABCD is a rectangle with diagonals and if AC= 7x-4 and BD= 10 find the value of x ?

Answers

Answer 1

Answer: x=2

Step-by-step explanation:

The diagonals of a rectangle are equal.

Therefore AC=BD,

7x-4=10

7x=10+4

7x=14

x=14÷7

x=2


Related Questions

Helppppppppppppppppppppppppp

Answers

Let us first put what we see in the image into words

 --> 3 of the p-values equals 1/2

Now let us put that in an equation

--> [tex]3p = \frac{1}{2}[/tex]

Hope that helps!

A ladder is leaning against the top of
a building. If the ladder is 12.5 m long and
3m from the base of the building, what is
the angle of elevation from the ladder to
the top of the building?

Answers

Answer:

Step-by-step explanation:

Discussion

You are working with the Cosine of the angle.

Hypotenuse = 12.5

Base = 3

Theta = ?

Solution

Cos(theta) = base / hypotenuse         Substitute values

Cos(theta) = 3 / 12.5                            Divide  

Cos(theta) = 0.24                                  Tale the inverse cos

theta = cos-1(0.24)

theta = 76.11 degrees

Answer: Roughly 76.11 degrees

Work Shown:

Check out the diagram below for the triangle drawing, and also the steps needed to find the angle.

please help i don’t understand

Answers

Answer:

b

Step-by-step explanation:

Edgar is a real estate agent. He earns a 5% commission for every house he sells. Last month Edgar sold three homes. He sold one for $110,000, another for $65,000 and a third house for $78,000. How much did Edgar receive in commission by selling these three homes?​

Answers

Summing up all the amount in commission made from the three sales we have

= 5500+3250+3900

=$12,650

Percentage of Amount

Given Data

Commission Rate = 5%

Amount made from $110,000

= 5/100*$110,000

= 0.05*$110,000

= $5500

Amount made from $65,000

= 5/100*$65,000

= 0.05*$65,000

= $3250

Amount made from $78,000

= 5/100*$78,000

= 0.05*$78,000

= $3900

Learn more about percentages here:

https://brainly.com/question/19247356

The trinomial 2x2 13x 6 has a linear factor of x 6. 2x2 13x 6 = (x 6)(?) what is the other linear factor? x 3 x 6 2x 1 2x 3

Answers

The Trinomial [tex]\rm 2x^{2} +13x+6[/tex] has a linear factor [tex]\rm (x+6)[/tex] and the other linear factor is [tex]\rm (2x+1)[/tex].

The Trinomial [tex]\rm 2x^{2} +13x+6[/tex] has a linear factor [tex]\rm (x+6)[/tex]. we need to find another linear factor say X.

[tex]\rm 2x^{2} +13x+6 = \rm (x+6)(X)[/tex]

what is a linear factor?

The linear factor of the polynomial is the first-degree polynomial equations represented as [tex]\rm ax+b[/tex] and cannot be factored further.

So, the other factor X can be calculated as,

[tex]\rm 2x^{2} +13x+6 = \rm (x+6)(X)\\\rm 2x^{2} +13x+6\div \rm (x+6)=X\\\rm (x+6)\times \rm (2x+1)\div \rm (x+6)=X\\X=\rm (2x+1)[/tex]

Therefore, The Trinomial [tex]\rm 2x^{2} +13x+6[/tex] has a linear factor [tex]\rm (x+6)[/tex] and the other linear factor is [tex]\rm (2x+1)[/tex].

learn more about the factorization of polynomials here;

https://brainly.com/question/26354419

What is the value of t?

Answers

Answer:

I messed up. Please delete this 'answer'

Step-by-step explanation:

can you still help me out still im giving good points away

Answers

Answer:

x = 60 degrees.

Step-by-step explanation:

The sides are all equal to one another, so that means that it is an equilateral triangle. An equilateral triangle's angle measures are always 60 degrees.

[tex]Hello,BrainlyUser][/tex]

Answer:

x = 60

Step-by-step explanation:

Since the triangle in the picture is a equilateral  triangle. If you don't know what a equilateral triangle.. I will explain to you; An equilateral triangle is a triangle in which all three sides have the same length. In the familiar Euclidean geometry, an equilateral triangle is also equiangular; that is, all three internal angles are also congruent to each other and are each 60°.

Thus, we can infer that x = 60.

[CloudBreeze]

Find the length of side
x
x to the nearest tenth.

Answers

Answer:

above is the solution to the question

Answer:

Step-by-step explanation:

The ratio of sides of 30 -60 -90 triangle is :  a : a√3 :2a

2a  = 5

a = 5/2 = 2.5

x =  a*√3

  = 2.5√3

  = 2.5 * 1.732

  = 4.3

x= 4.3

help make me do it now ok​

Answers

Answer:

44°

.

......

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

What is the sum? startfraction 3 over x squared minus 9 endfraction startfraction 5 over x 3 endfraction startfraction 8 over x squared x minus 6 endfraction startfraction 5 x minus 12 over x minus 3 endfraction startfraction negative 5 x over (x 3) (x minus 3) endfraction startfraction 5 x minus 12 over (x 3) (x minus 3)

Answers

The addition of the expression 5/(x² – 9) and 3/(x + 3) is (5x – 12)/[(x + 3)(x – 3)]. Then the correct option is D.

What is a fraction number?

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.

The expressions are given below.

[tex]\rm \dfrac{3}{x^2 - 9} \ and \ \dfrac{5}{x+3}[/tex]

The sum of the expressions will be

[tex]\rm \dfrac{3}{x^2 - 9} + \dfrac{5}{x+3}[/tex]

We know that the formula

a² – b² = (a + b)(a – b)

Then we have

[tex]\rm \dfrac{3}{x^2 - 3^2} + \dfrac{5}{x+3}\\\\\\\rm \dfrac{3}{(x-3)(x+3)} + \dfrac{5}{x+3}\\\\\\\rm \dfrac{3+5(x-3)}{(x-3)(x+3)} \\\\\\\dfrac{3+5x-15}{(x-3)(x+3)} \\\\\\\dfrac{5x-12}{(x-3)(x+3)}[/tex]

The addition of the expression 5/(x² – 9) and 3/(x + 3) is (5x – 12)/[(x + 3)(x – 3)]. Then the correct option is D.

More about the fraction number link is given below.

https://brainly.com/question/78672

Use the drawing tools to form the correct answer on the graph. Graph this function. f(x) = -1/3x + 8.
No image provided. It's a standard 10 by 10 graph on edmentum.

Answers

Answer:

Rewrite the function as an equation.y=−x/ 3+ 8

y=-x3+8

Rewrite in slope-intercept form. y = −1/3x+8. Use the slope-intercept form to find the slopeand y-intercept. Slope: −1/3 intercept: (0,8)(0,8) Find the values of mm and bb using the form y=mx+b

Any line can be graphed using two points. Select two xx values, and plug them into the equation to find the corresponding yy values. Graph the line using the slope and the y-intercept, or the points.Slope: −1/3

y-intercept: (0,8)

I don't think I know the answer I'm very sorry I try to help you but I don't know

Find the length of side x.

Answers

Answer:

17

..

...

....

....

....

..

The answer is 17 hope it helps:)

Round to the nearest degree

Answers

Answer:

99°

Step-by-step explanation:

180-(63+8) = 99°...........

Which of the following situations are equal to 75%? Select all that apply.

A) 9 out of 12
B) 27 out of 36
C) 4 out of 8
D) 60 out of 80
E) 15 out of 25

Answers

Answer:

A) 9 out of 12

Step-by-step explanation:

The first step is to divide 9 by 12 to get the answer in decimal form:

9 / 12 = 0.7500

Then, we multiplied the answer from the first step by one hundred to get the answer as a percentage:

0.7500 * 100 = 75.00%

We can prove that the answer is correct by taking 75.00 percent of 12 to get 9:

(12 x 75.00)/100 = 9

what is squre root of 8

Answers

Answer:

2.838

Step-by-step explanation:

put it in the calculator.

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS

Answers

Answer:

The angle CAD is 60° (As seen on the markings of the protractor.) and any angle that is less then 90° is acute. So this is an acute angle.

A rectangle has an area of (4x2 + 10) square inches. The length of the rectangle is (2x2 + 5) inches.

How many inches is the width of the rectangle?

Answers

Answer:

Area of the rectangle = 4x^2+8x = 4x(x+2)

So if the length is (x+2), the width of the rectangle = 4x(x+2)/ (x+2) = 4x.

The length is > the width, so

x+2 > 4x, or

2 > 3x, or

(2/3) > x or

x < (2/3).

Say x = 5/9 which is < 2/3, the length = 2 + 5/9 or 23/9 and the width =20/9, which is logical.

what are the angles ?????

Answers

Answer:

i don't know any of it so sorry

step by step explanation

I need help with numbers 12 and 13. Pls help I really appreciate it. The instructions are to fill in the missing term to make a perfect square trinomial BRAINLY FOR THE CORRECT ANSWER !!!!!!!!!!!!!!!!! 10 POINTS!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

( a ± b )² = a² ± 2ab + b²

~~~~~~~~~~

81x² + _______ + 49 =

( 9x )² + _______ + 7² =

( 9x )² + 2 ( 9x )( 7 ) + 7² =

( 9x )² + 126x + 7² = ( 9x + 7 )²

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

9b² - _______ + 36 =

( 3b )² - _______ + 6² =

( 3b )² - 2( 3b )( 6 ) + 6² =

( 3b )² - 36b + 6² = ( 3b - 6 )²

find the value of x.​

Answers

Answer:

x = 5

Step-by-step explanation:

Two secants have equal ratios when (in this case) they are split up as

AB * AC = AD*AE

Givens

AB = x-2

AC = (x - 2 + x+ 4) = 2x + 2

AD = 4

AE = 5 + 4 = 9

Substitute and solution

(x - 2) (2x + 2) = 4 (9)                  Expand the left, Combine the right

2(x^2 - x - 2) = 36                       Divide both sides by 2

x^2 - x - 2 = 18                            Subtract 18 from both sides

x^2 - x - 2 - 18 = 18 - 18              Combine

x^2 - x - 20 = 0                           This factors

(x - 5)(x + 4) = 0                           Only one of these factors works

x - 5 = 0                                       Add 5 to both sides.

x = 5

Leila drove 756 miles in 12 hours. At the same rate, how many miles would she drive in 5 hours?

Answers

Lia achived 315 miles in 5 hours

Cananyone help me? Please and Thank you!!​

Answers

Answer:

R=12.56

Step-by-step explanation:

radius is the center to side or half of the circumference 25.12/2=12.56

i need help graphing this

Answers

Answer:

i put below. if you have a smart website (i dont know how to say it) then all you need is two points

Step-by-step explanation:

all you have to do is find two points

pick any points

lets say x = 0 and x = 2

y = -2(0) + 7

y = 7

(0,7)

y = -2(2) + 7

y = -4 + 7

y = 3

(2, 3)

then graph

PLEASE HELP 45 POINTS!!!!!

Answers

Answer:

[tex]\sf x = 5[/tex][tex]\sf DF = 12[/tex]

setting up proportionality equation:

[tex]\sf \dfrac{big-side}{big-diagonal} = \sf \dfrac{small-side}{small-diagonal}[/tex]

[tex]\sf \hookrightarrow \dfrac{7}{16+x+7} = \dfrac{4}{16}[/tex]

[tex]\sf \hookrightarrow \dfrac{7}{23+x} = \dfrac{4}{16}[/tex]

[tex]\sf \hookrightarrow 4(23+x) = 112[/tex]

[tex]\sf \hookrightarrow 92 + 4x = 112[/tex]

[tex]\sf \hookrightarrow 4x = 112- 92[/tex]

[tex]\sf \hookrightarrow 4x = 20[/tex]

[tex]\sf \hookrightarrow x = 5[/tex]

Find DF:

[tex]\hookrightarrow \sf x + 7[/tex]

[tex]\hookrightarrow \sf 5 + 7[/tex]

[tex]\hookrightarrow \sf 12[/tex]

Answer:

We see 2 congruent triangles: Triangle DBC and FEC. Let's set up a proportion to find the value of x and length of DF.

[tex]\frac{BE+EC}{DF+FC} =\frac{EC}{FC}[/tex]

[tex]\frac{3+4}{(x+7)+16} =\frac{4}{16}[/tex]

Cross multiply and solve for x.

[tex](3+4)*16=((x+7)+16)*4[/tex]

[tex]7*16=(x+23)*4[/tex]

[tex]112=(x+23)*4[/tex]

[tex]28= (x+23)[/tex]

x= 5

Now to solve for the length of DF, plug in x into DF.

DF=(x+7)

DF=(5+7)

DF= 12

Please Help me with this Question
ASAP this is due in 10 mins.

Answers

Answer: Will need 7 week of time to afford a car worth 1932

Step-by-step explanation:

Missing information : car is worth 1932

Will works 7 hours day, 6 days a week.

=> Number of hours worked in a week = 7 * 6 = 42 hrs

paid 9.20 an hour

=> will  Weekly payment = 42 *9.2  =  386.4

will : mum = 5:2.

=> Will share = (5/7) * 386.4 =  276

car is worth  1932

Number of Weeks taken by will  to afford  a car  = 1932/276 = 7

divide 40 into ratio of 5:2

The ratio of monthly income to the saving of a family is 5:2.

How many like terms are in the expression? 14 x minus 14 y + 7 minus x + z + 2 x 0 2 3 5ement best describes Japan’s economy under military rule? The economy improved because the country expanded their military power. The economy struggled because the military spent money to increase its power. The economy improved because the military gave people jobs during the depression. The economy struggled because people joined the military rather than working other jobs.

Answers

Answer:

14x - 14y + 7 - x + z + 2x

There are three like terms in this expression, I made them bold for you.

Like terms are terms that have the same variable and power.

can anyone solve this?

6÷2(1+2)= ​

Answers

Answer:

9

Solving steps:

=> 6÷2(1+2)

divide 6 by 2

=> 3(1+2)

add values inside the bracket

=> 3(3)

multiply 3 by 3

=> 9

Answer:

9

Step-by-step explanation:

Use parenthesis, exponents, multiplication, division, addition, and subtraction, witch stands for PEMDAS.

1. 1+2 is the first step, since it is in the parenthesis. This gives you 3

2. You do 6÷2, since that is the next step. Since the operations are from left to right  , you move on the next step, witch is divison. This also gives you 3.

3. You do the final step, witch is to multiply, so you do 3 x 3 , witch gives you 9.

Members of a parenting organization want to use a two-sample t test to determine whether the average tuition for private schools in their state is significantly different for high school students than for elementary students. They plan to take tuition estimates from random samples of 10 schools serving each level.
Which of the following are conditions for this type of test?
A. Only sample from schools that include both elementary and high school.
B. The tuition estimates in each group are approximately symmetric with no outliers.
C. There are approximately equal numbers of private elementary schools and high schools in the state.

Answers

The conditions for this type of test is that The tuition estimates in each group are approximately symmetric with no outliers.

What are outliers?

These are the values in a statistical research that lies in positions that are way off from the values used in the data set.

There would be no outliers used here because all of the tuition estimates would be closely related for the schools.

Read more on outliers here:https://brainly.com/question/3631910

6x+9(-5x-3) combining like terms

Answers

6x + 9(-5x-3) = 6x + 9*(-5x) + 9*(-3) = 6x -45x - 27 = -39x - 27

Hope that helps!

Solution:

I think the question should be as follow:

➙ 6x + 9 - ( 5x - 3 )

➙ 6x + 9 - 5 x + 3

➙ 6x - 5x + 9 + 3

➙ x + 12

➙ x = -12

Anyways I've also solved according to the provided question:

‎ㅤ‎ㅤ‎ㅤ➙ 6x + 9 (-5x - 3 )

‎ㅤ‎ㅤ‎ㅤ➙ 6x - 45x - 27

‎ㅤ‎ㅤ‎ㅤ➙ - 39 x - 27

Further, we can solve for x ;

‎ㅤ‎ㅤ‎ㅤ➙ - 39 x - 27 = 0

‎ㅤ‎ㅤ‎ㅤ➙ - 39 x = 0 + 27

‎ㅤ‎ㅤ‎ㅤ➙ x = - 27 / 39

More information:

Terms that have same identical variables, and same exponents parts are called like terms. To simplify these terms, you use addition and subtraction by combining the ' like terms '

Complete the numerical series.
1.4 , 8 , 10 , 20 , 22 , 44 , 46 , ___, ___, ___,

2.1 , 2 , -1 , -3 , -7 , -21 , -25,___, ___, ____,

3.0 , 1 , 1 , 2 , 3 , 5 , 8 , ___, ___, ____,

4.4, 12, 16 , 48 , 52 , 156 , 160 , ____, ____ , ____,

5.9 , 12 , 7 , 10 ,5 , 8 , 3 , ___, ___, ____,

6.16 , 22 , 19 , 25 , 22 , 28 , 25 , ___, ____, ____,

7.4 , 12 , 16 , 48 , 52 , 156 , 160 , ___, ___, _____,

8.4 , 8 , 1 , 2 , -5 , -10 , -17 , ____,____,____,

9.22, 28 , 21 , 27 , 20 , 26 , 19 , ____, _____, _____,

10.1 , 2 , -4 , -8 , -14 , -28 , -34 , ____, ______, _____

Answers

Step-by-step explanation:

1.

double, +2, double, +2, ...

, 92, 94, 188

2.

I think you made a mistake with the second number. based on the following numbers the number sequence seems to be

1, 3, -1, -3, -7, -21, -25,

and then the pattern is

times 3, minus 4, times 3, minus 4 ...

, -75, - 79, -237

3.

sum of the previous 2 numbers (Fibonacci numbers)

, 13, 21, 34

4.

times 3, plus 4, times 3, plus 4, ...

, 480, 484, 1452

5.

plus 3, minus 5, plus 3, minus 5 ...

, 6, 1, 4

6.

plus 6, minus 3, plus 6, minus 3 ...

, 31, 28, 34

7.

the same as 4.

8.

times 2, minus 7, times 2, minus 7 ...

, -34, -41, -82

9.

plus 6, minus 7, plus 6, minus 7 ...

, 25, 18, 24

10.

times 2, minus 6, times 2, minus 6 ...

, -68, -74, -148

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How do I explain 4 3/8 + 5 6/10 = 9 39/40 was estimated Select the two processes that occur at mid ocean ridges After World War I, there were many advances in arts and sciences. Which choice shows the correct pairing of the thinkers with their ideas?Select one:a. Malthus, Darwin and Watt -- sociology, evolution and industry.b. Bismarck, Rhodes and Livingstone the way governments negotiate, imperialize and explorec. Whitney, Fulton and Edison -- machinery, transportation and electricityd. ) Einstein, Freud and Picasso -- physics, psychology and art In eukaryotic cells, aerobic respiration occurs in organelles called Recently, it was announced that two giant French retailers, Carrefour SA and Promodes SA, would merge. A headline in the WallStreet Journal blared, "French Retailers Create New Wal-Mart Rival." While Wal-Mart's total sales would still exceed those of thefcombined company, Wal-Mart's international sales are far less than those of the combined company. This is a serious concern for Wal-Mart, since its primary opportunity for future growth lies outside of the United States.Below are basic financial data for the combined corporation (in euros) and Wal-Mart (in U.S. dollars) in a recent year. Even though theirresults are presented in different currencies, by employing ratios we can make some basic comparisons.Carrefour(in millions)Wal-Mart(in millions)Sales revenue70.486$256,329Cost of goods sold54,630198,747Net income1,7389,054Total assets39,063104,912Current assets14,52134,421Current liabilities13,66037,418Total liabilities29,43461,289Compare the two companies by answering the following Percy wants to buy a guitar that costs $56. He plans to save the same amount of money each week for 7 weeks. How much money should Percy save each week so that after 7 weeks he will have exactly enough for the guitar? $5 $8 $48 $64 whats the answer please, its about the hunger games book A survey in a school was conducted about whether students like meat, vegetables, both, or neither on their pizzaThe results are shown in the table.Of all the students Who like vegetable on their pizza what percentage of those students that do not like me on your pizzaenter your answer to the nearest whole percent in the box what to email your teacher to ask for an extension of an assignment 23. What is the value of x in the figure? (12x - 3) 105 Determine if true:8x2-63=-40 Need help finding the coordinate rule How does the way a society is organized impact the people living in it? Which description best illustrates what it means to demonstrate negligence?A. Fixing a broken railing at a business entrance.B. Providing food, water, and shelter for your dog.C. A driver does not stop at a stop sign and causes an accident. PLEASE HELP ASAP WILL AWARD BRAINLIEST AND POINTSHow is the movie the lion king an example of initiation rites and what actions or symbols are used to perform this right of passage? Which property justifies the fact that 5(x2) is equivalent to 5x10? Commutative Commutative Associative Associative Distributive Distributive Identity Identity 3. In a speech she made to the United Nations on her 16th birthdayMalala said, "I raise up my voice-not so that I can shout, but so thatthose without a voice can be heard." What did she mean?.? Y=x+6 make x the subject What are ways the president interacts with foreign countries what will be the final velocity of a vehicle, if it started from rest and accelerates at 4m/s after 5 seconds?