The diagonals of a rectangle are AC = 5x-4 and BD = 7x-18.
Solve for x

Answers

Answer 1

Answer:

x = 7

Step-by-step explanation:

The diagonals of a rectangle are congruent , so

BD = AC , that is

7x - 18 = 5x - 4 ( subtract 5x from both sides )

2x - 18 = - 4 ( add 18 to both sides )

2x = 14 ( divide both sides by 2 )

x = 7


Related Questions

pls help quickly!! :(
what is the surface area of the right cone below?

Answers

Answer:

B.

Step-by-step explanation:

Answer:

D, 143.

Step by step explanation:

Arithmetic Sequences
Find the missing term. . . . 14, __, 28, . . .

Answers

Answer:

21

Step-by-step explanation:

goes up by 7

Please help I’ll give brainliest

Answers

Answer:  A, 4^4

Step-by-step explanation:

4^7/4^3 = 4^4

Answer:

[tex]4^{4}[/tex]

Step-by-step explanation:

Rewrite the division as a fraction.

[tex]\frac{4^{7} }{4^{3} }[/tex]

Cancel the common factors.

[tex]\frac{4^{3}*4^{4} }{4^{3}*1 }[/tex]

[tex]4^{4}[/tex]

Hope this helps!

Reach out to me if you need more help with these types of problems.

Which statements about this system of equations are true? Check all that apply. Negative x + 6 y = 16. 8 x minus 6 y = negative 2.

Answers

Step-by-step explanation:

The given equations are :

-x+6y = 16 ...(1)

8x-6y = -2 ...(2)

The y-variable will be eliminated when adding the system of  equations.

Adding equations (1) and (2).

-x+6y+8x-6y = 16+(-2)

7x = 14

x = 2

Put the value of x in equation (1).

-2+6y = 16

6y = 16+2

y = 3

There is only one solution to the system of equations i.e. (2,3).

Please help me with this question!

Answers

Answer:

part 2 of 3 means is it ans

Step-by-step explanation:

I don't understand ur question can u explain me then I I will ans

Find the mean, median, mode, and standard
deviation of the quiz scores:
20, 58, 74, 77, 77, 85, 86, 90, 95, 98

Answers

Answer:

Step-by-step explanation:

mean = sum of data / no of data

20 + 58 + 74 + 77 + 77 + 85 + 86 + 90 + 95 + 98 / 10

760 / 10

76

to find median u should arrange the data from ascending to descending order.

since the given data is already arranged u dont need to change.

median = (N + 1)/2     (N means no of data)

=10 + 1 / 2

=11 / 2

=5.5

= 5 th term + 6 th term /2

=77 + 85 /2

=162 / 2

=81

mode means most repeating number . so in this given data 77 is repeated two times while others occured just one times . so the mode of the given data is 77.

Mode = 77

If the abscissa of a point is negative , then in which all quadrants the point can lies?

Answers

Answer:

The point can either lie on the second quadrant or the third quadrant

Step-by-step explanation:

Mathematically, we have the ordinate and the abscissa

The ordinate represents the y axis while the abscissa represents the x axis value

For the abscissa to be negative, it means we are talking about the negative x axis

Now, the y axis can either be positive or negative too

When it is positive , we are referring to the point lying on the second quadrant

when it is negative, we are referring to the point lying on the third quadrant

Aisha wants to paint the four walls of her living room. Each wall is 2.6 m high and 3.5 m long. One wall has a door of 2.2 m by 0.8 m. Tins of paint cost £11 per 2 L tin. Each litre of paint can cover 8 m2 of wall. There is an offer of: Buy 2 tins get the 3rd at half price. How much will Aisha pay to paint her living room

Answers

Answer:

£22

Step-by-step explanation:

Area to be painted

4walls - door

a = 4(2.6 * 3.5) - 2.2 * 0.8

a = 34.64 m²

Paint needed

p = 34.64 / 8

p = 4.33

Must round up

p = 5 liters

Tins needed

t = 5/2

t = 2.5

must round up

t = 3

Cost

since 1 is free with 2 will pay for 2

c = 11 * 2

c = 22

£22

Answer fast please :( Kristy wants to know what the probability is that a card drawn randomly from a deck will be a club her sample space includes all 52 cards in a standard deck which of these outcomes compose the event

Answers

Answer:

.25

Step-by-step explanation:

there are 13 clubs

13/52= 1/4

X + 6 > 18
Please help and show work if can.

Answers

Answer:

x > 12

Step-by-step explanation:

[tex]x+6->18-6\\=>x>12[/tex]

That's it for the workout. Hope it helps.

Argent deadline is tomorrow a²-(b-c)²​

Answers

Answer:

[tex]a^2 - ( b- c)^2 = a^ 2- b^2 - c^2 +2 bc[/tex]

Step-by-step explanation:

[tex]Using \ (x - y)^2 = x^2 - 2xy + y^2[/tex]

[tex]a^2 - (b - c)^2 = a^2 - ( b^2 - 2bc + c^2 ) = a^2 - b^2 + 2bc - c^2 = a^2 - b^2 - c^2 + 2bc[/tex]

She has 40 coins all made up of quarters and dimes, And when she counted them up she had $7.75 from them, how much of each did she have?

Answers

Answer:

x = number of quarters = 25

y = number of dimes = 15

Step-by-step explanation:

Let

x = number of quarters

y = number of dimes

1 dime = $0.10

1 quarter = $0.25

x + y = 40 (1)

0.25x + 0.10y = 7.75 (2)

From (1)

x = 40 - y

Substitute x = 40 - y into (2)

0.25x + 0.10y = 7.75 (2)

0.25(40 - y) + 0.10y = 7.75

10 - 0.25y + 0.10y = 7.75

- 0.25y + 0.10y = 7.75 - 10

-0.15y = -2.25

y = -2.25/-0.15

y = 15

Substitute y = 15 into (1)

x + y = 40 (1)

x + 15 = 40

x = 40 - 15

x = 25

x = number of quarters = 25

y = number of dimes = 15

Total quarters = 25 × $0.25

= $6.25

Total dimes = 15 × $0.10

= $1.5


Which statements are true of the function represented
by this graph?

Answers

Which graph?

___________

How many solutions does the following system of linear equations have?
y = 5x – 2
( y= 5x+4
O No solutions
O One solution
0 Two solutions
O Infinite solutions

Answers

Answer:

No Solution

Step-by-step explanation:

because both of them have same gradient or slope.

we can say that those linear equations are parallel

Given a right triangle ABC with altitude BD drawn to hypotenuse AC. If AC = 24 and DC = 6, what is the length of BC?

Answers

Answer:

BC = 12

Step-by-step explanation:

BD is the altitude, it breaks ΔABC into two similar triangles:

ΔABD ~ ΔBCD

The ratios of corresponding sides:

AD/BD = BD/DC ⇒ BD² = AD*DC ⇒ BD² = (24 - 6)*6 ⇒ BD² = 108

On the other hand:

BC² = BD² + DC² ⇒ BC² = 108 + 6² = 144 BC = √144BC = 12

How many bags of concrete are needed to fill the path 1m3 requires 106 x 20kg bags of concrete The pond is 7m diameter and the path around is 2m 50mm deep

Answers

Answer:

300 Bags

Step-by-step explanation:

According to the Question,

Given that, We are laying a concrete border around a circular pond.  The pond is 7 metres in diameter and is surrounded by a path 2 metres wide.

The radius of the pool = 3.5 m; the overall radius including the border = 3.5 + 2 = 5.5m

The area of the concrete border

overall area - pool area = border area(A)

A = π×5.5² - π×3.5²

A = 56.55 sq m  

The concrete needs to be 50 millimetres deep.

the volume of the concrete, change 50 mm to .05 m

56.55 * 05 = 2.8275 cu/meters

We are using premixed bagged concrete.

1 cubic metre requires 106 x 20 kg bags.

So For the number of bags

106 * 2.8275 = 299.715 ≈ 300bags

300 bags of 20 kg of premixed concrete We need

what do you call a french pimple

Answers

Answer:

bouton

Step-by-step explanation:

‘Bouton’ I’m pretty certain , when I was doing my gcse french this word came up :)

what is the average of 4741, 4261, 4628?

Answers

Answer:

4628

I hope it will help you all

Help !!! Hurry I do not know the answer

Answers

Answer:

wwiwjwjwjwnwnsnsnssnnssnnssnsnsnsnsnwnwn to

x+7=2(x-15) solve for x

Answers

Answer:

x = 37

Step-by-step explanation:

x+7 = 2(x-15)

x+7 = 2x-(2*15)

x+7 = 2x-30

7+30 = 2x-x

37 = x

So, the answer is x = 37.

Henri bought 3 jars of spaghetti sauce. He used a coupon that reduced the cost of each jar by $0.75. If he paid $6.72 altogether, what was the regular price?

Answers

Answer:  $8.97

Step-by-step explanation:

he bought three jars and lowered the price by 75 cents for each, so multiply $0.75 by three

$0.75 * 3 = $2.25

so henri saved $2.25 in total

we can add that to what he paid to find the original cost

$6.72 + $2.25 = $8.97

so the original price was $8.97 :)

Can someone help me please

Answers

Answer:

Yes what is the question?

Step-by-step explanation:

Answer:

What is the question?

Step-by-step explanation:

Work out the area of a rectangle with base, b = 14mm and perimeter, P = 36mm.​

Answers

Step-by-step explanation:

perimeter = 2(lenth + base)

perimeter-2b = 2(length)

Area=length×breadth

a rack bought for rs.8000 and sold at 15% loss, find selling price​

Answers

Answer:

Rs 6800

Step-by-step explanation:

Hope this helps

If 1 is added in numerator and denominator then a fraction changes to 4. If 1 is subtracted from the numerator and denominator, fraction changes to 7. Numerator of the fraction is

Answers

Answer:

N=15

Step-by-step explanation:

N=numerator

D=denominator

(1+N)/(1+D)=4

(N-1)/(D-1)=7

(1+N)=4(1+D)

N=4D+3

(4D+3-1)/(D-1)=7

4D+2=7(D-1)

4D-7D=-2-7

D=-9/-3=3

N=4D+3=15

What is the value of b2 - 4ac for the following equation?

2x^2 - 2x - 1 = 0​

Answers

Answer:

12

Step-by-step explanation:

We are finding the discriminant

b^2 -4ac

2x^2 - 2x - 1 = 0​

a =2  b = -2  c = -1

(-2)^2 - 4(2)(-1)

4 +8

12

Answer:

[tex]b^2 - 4ac= 12[/tex]

Step-by-step explanation:

Standard quadratic equation :

                   [tex]ax^2 + bx + c = 0[/tex]

Given equation :

                  [tex]2x^2 - 2x - 1 = 0[/tex]

From the given equation , a = 2, b = -2 , c = -1

Therefore,

              [tex]b^2 - 4ac= ( -2)^2 - ( 4 \times 2 \times (-1))[/tex]

                          [tex]=4 + 8 = 12[/tex]

find the vaule of a in ax+by=c

Answers

Answer:

a=[tex]\frac{c-by}{x}[/tex]

Step-by-step explanation:

To find a, we need to change the equation so a is the variable that is left by itself. So...

ax+by=c   Get rid of anything else besides the x and its coefficient.

   -by -by

ax=c-by    Because a has to be completely isolated, get rid of its coefficient.

/x   /x

a=[tex]\frac{c-by}{x}[/tex]

Hope this helps and have a great day :D

Answer:

[tex]a x + by = c \\ ax = c - by \\ \frac{ax}{x} = \frac{c - by}{x} \\ a = \frac{c - by}{x}[/tex]


What are the lengths of AD, DB, AE, and EC? Measure and record them.

Answers

i’ll be able to help if you have a picture to show me

Kate hiked 14 miles in 6 hours. Which rate represents the number of miles traveled per hour? L

Answers

Answer:

That would be 14 miles ÷ 6 hours which would be 2.3333 or 2 and 1/3

What is the x-value in the solution to this system of linear equations?

2x − y = 11

x + 3y = −5

−3
−1
2
4

Answers

Answer:

4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/CoefficientsSolving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

2x - y = 11

x + 3y = -5

Step 2: Rewrite Systems

2x - y = 11

[Subtraction Property of Equality] Subtract 2x on both sides:                      -y = 11 - 2x[Division Property of Equality] Divide -1 on both sides:                                  y = 2x - 11

Step 3: Redefine Systems

y = 2x - 11

x + 3y = -5

Step 2: Solve for x

Substitution

Substitute in y [2nd Equation]:                                                                        x + 3(2x - 11) = -5[Distributive Property] Distribute 3:                                                                 x + 6x - 33 = -5Combine like terms:                                                                                         7x - 33 = -5[Addition Property of Equality] Add 33 on both sides:                                  7x = 28[Division Property of Equality] Divide 7 on both sides:                                  x = 4

Answer:

x = 4

Step-by-step explanation:

2x - y = 11

x + 3y = -5

To calculate the value of x , firstly we need to find value of y.

solve for y

2x - y = 11

subtract 2x from both side

2x - 2x - y = 11 - 2x-y = 11 - 2x

change the sign of both side of equation

y = -11 + 2x

rewrite

y = 2x - 11

Solve for x

y = 2x - 11x + 3y = -5

substitute the value of y in the equation

x + 3( 2x - 11 ) = -5

distribute 3

x + 3 × 2x - 3× 11 = -5x + 6x - 33 = -5

combine like terms

7x - 33 = -5

Add 33 on both side

7x - 33 + 33 = -5 + 337x = 28

divide both side by 7

7x / 7 = 28 / 7x = 4

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