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

is this correct please help!

Answers

Answer:

Almost...

The correct answer would be

To find the area of the base, multiply 15 times 16 then divide by 2

Then multiply by 19 to find the volume of the shape

Step-by-step explanation:

The base is a triangle

The area of a triangle = base length times height divided by 2

The triangle has a base length of 16 and a height of 15

So to find the area of the base we multiply 15 times 16 and divide that by 2

The volume of a prism is equal to the area of the base times the length of the prism

The length of the prism is 19 so we would then multiply by 19

Find the value of x in the isosceles triangle shown below.

Answers

Answer:

x = [tex]\sqrt{26}[/tex]

Step-by-step explanation:

using pythagoras theorem

here [tex]\sqrt{13}[/tex] and [tex]\sqrt{13}[/tex] are the legs of the right angled triangle and x is hypotenuse.

a^2 + b^2 = c^2

[tex](\sqrt{ 13 })^2 + (\sqrt{13})^2 = x^2[/tex]

13 + 13 = x^2

26 = x^2

[tex]\sqrt{26}[/tex] = x

Answer:

answer would be c

Step-by-step explanation:

hope this helps

what is the equation of a line that is perpendicular to y=1/2x+1 and passes through the point of (8,0)?​

Answers

Answer:

D. y= -2x+16

Step-by-step explanation:

the slope = -1÷½ = -2

the equation :

y-0= -2(x-8)

y = -2x+16

ANSWER IS C
Which number line represents the solution to 2.5 – 1.2x < 6.5 – 3.2x?

1.) A number line from negative 5 to 5 in increments of 1. An open circle is at 4 and a bold line starts at 4 and is pointing to the left.
2.) A number line from negative 5 to 5 in increments of 1. An open circle is at 4 and a bold line starts at 4 and is pointing to the right.
3.) A number line from negative 5 to 5 in increments of 1. An open circle is at 2 and a bold line starts at 4 and is pointing to the left.
4.) A number line from negative 5 to 5 in increments of 1. An open circle is at 2 and a bold line starts at 4 and is pointing to the right.

Answers

Answer:

x <2

Step-by-step explanation:

2.5 – 1.2x < 6.5 – 3.2x

Add 3.2x to each side

2.5 – 1.2x+3.2x < 6.5 – 3.2x+3.2x

2.5 +2x < 6.5

Subtract 2.5 from each side

2.5+2x-2.5<6.5-2.5

2x<4

Divide by 2

2x/2 < 4/2

x <2

Determine the equation of the line perpendicular to y = 1/5x – 7 and passes through the point (-3,6).

Answers

Answer:

y = -5x - 9

Step-by-step explanation:

y = -5x + b

6 = -5(-3) + b

6 = 15 + b

b = -9

3p²q - 6pq² help me please .​

Answers

3p²q - 6 pq²

3pq (p - 2q )

I think this is the solution

What is the inverse of the statement below?
x →y
A. -X
B. y = x
C. y = x
O D. -x=y

Help plz

Answers

Answer:

d -x=y the awnssr may not be correct but I tried so

what are the 3 basic steps to writing equations

Answers

Answer:

Putting things in the right place

Reading the question

Using the correct symbol

Step-by-step explanation:

Putting things in the right place is very important

Example: 2+2=4

If I accidently did 2+4=2 then the answer would be incorrect.

Reading the question

You could read a question wrong in an exam so you may answer incorrectly, so if you finished the exam then always check your answers

Using the correct symbol is important because you could know the answer but write the wrong symbol and not get the mark

I hoped this helped!

3x+2y=4
2x-3y=7

a) 2, - 1
b)2 , 1
c)1 , 2
d)- 2 , - 1

Answers

Answer:

a) 2, -1

Step-by-step explanation:

3x + 2y = 4

2y = 4 - 3x

y = 2 - 3x/2

2x - 3y = 7

2x - 3×(2 - 3x/2) = 7

2x - 6 + 9x/2 = 7

4x/2 + 9x/2 = 13

13x/2 = 13

13x = 26

x = 2

3×2 + 2y = 4

6 + 2y = 4

3 + y = 2

y = -1

Help





Will





Give




BRIANLIST




Answer

Answers

v = s/t => average speed = 39,1/2,06= about 19 mi/hr, i guess

What are the solutions of X^2-8+16=11

Answers

Answer:

x = ±√3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

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

Algebra I

Terms/CoefficientsSolving quadratics

Step-by-step explanation:

Step 1: Define

Identify

x² - 8 + 16 = 11

Step 2: Solve for x

Combine like terms:                                                                                         x² + 8 = 11[Subtraction Property of Equality] Subtract 8 on both sides:                        x² = 3[Equality Property] Square root both sides:                                                    x = ±√3

How much would $600 be worth after 10 years, if it were invested at 4% interest compounded continuously? (Use the formula below and round your answer to the nearest cent.) A(t) = P▪︎e^rt​

Answers

Answer:

600[tex]e^{10*.04}[/tex]

$895.09

Step-by-step explanation:

Name the marked angle in 2 different ways.

Answers

Answer:

∠XWV ∠UWV

Hope this helps! :)

How many cups of chocolate would Linda need for 2 cups of cream

Answers

I don’t know how to solve this one but use Y and find the slope and get Y alone

if i made 11$ an hour working at publix how much would i have in 4 year's?




i need to know because me and my friend plan to work at publix as soon as we turn 14 and in 4 year's when we turn 18 we want to have enough to move into an apartment/house right away​

Answers

Answer:

40*52*11*4 = $91,520

But I am skeptical that you would earn dollars where you would be working... I assume that you do not work in the is because 11 dollars per hour is written at $11/hr not 11$ /hr, thus I assume that you do not live anywhere that pays in U.S. dollars.

Step-by-step explanation:

Answer: $385440 if you work non stop, for every hour of those 4 years

Step-by-step explanation: 24 hours in a day, 24*365=8760

8760*4=35040 total hours.

Now if we multiply that by 11, because you get 11 dollars an hour,

35040*11= $385440 in total

But that's not counting items you may buy, and it also assumes you work every hour of every day. If you want a more realistic amount, you're gonna have to specify the hours that you work.

Write an expression in simplest form for the perimeter of a right triangle with leg lengths of 12a5 and 9a5.

Answers

Given:

The lengths of legs of a right triangle are [tex]12a^5[/tex] and [tex]9a^5[/tex].

To find:

The perimeter of a right triangle.

Solution:

In a right angle triangle,

[tex]Hypotenuse=\sqrt{Leg_1^2+Leg_2^2}[/tex]

[tex]Hypotenuse=\sqrt{(12a^5)^2+(9a^5)^2}[/tex]

[tex]Hypotenuse=\sqrt{144a^{10}+81a^{10}}[/tex]

[tex]Hypotenuse=\sqrt{225a^{10}}[/tex]

On further simplification, we get

[tex]Hypotenuse=\sqrt{(15a^{5})^2}[/tex]

[tex]Hypotenuse=15a^5[/tex]

Now, the perimeter of the triangle is the sum of all of its sides.

[tex]Perimeter=Leg_1+Leg_2+Hypotenuse[/tex]

[tex]Perimeter=12a^5+9a^5+15a^5[/tex]

[tex]Perimeter=36a^5[/tex]

Therefore, the perimeter of the right triangle is [tex]36a^5[/tex].

Given the figure below as marked, which term best describes EF?

A. angle bisector
B. median
C. perpendicular bisector
D. altitude

Answers

Answer:

B

median

hope its help you

Answer: B. Median

Step-by-step explanation:

its the middle line.

Find the direct variation equation

Answers

Answers:

The direct variation equation is y = 5xIf x = 4, then y = 20

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

Explanation:

Let's say that the letter k replaces the green box

We have the equation y = kx

Plug in (x,y) = (7,35) to get the equation 35 = k*7

Dividing both sides by 7 leads to k = 5

Therefore, the direct variation equation is y = 5x

We can check this by plugging in x = 7

y = 5x

y = 5*7

y = 35

So x = 7 leads to y = 35 as expected.

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

Do the same for x = 4

y = 5x

y = 5*4

y = 20 when x = 4

Side note: direct variation equations always go through the origin.

Answer:

20

Step-by-step explanation:

if y varies directly with x, then it takes the form y=mx

to find m, substitute in the values of x and y to get 35=m*7 and simplify to get that m=5

then the equation becomes y=5x

substitute in the value they gave for x which is 4 to get y=5*4

to get that y=20

Which is greater than 4?(show work)
(a) 5,

(b) -5,

(c) -1/2,

(d) -25.

Answers

Answer:

Letter A) 5

Step-by-step explanation:

all the other answers are negative so they are less than 4.

5 comes after 4 so 5 is greater than 4.

Hope this is helpful

John measured two pieces of string. One piece measured 7/12 m and the other measured 4/7 m.

Select the true statement about the lengths of John's string.

Answers

1) 7/12= 0.58, 4/7= 0.57

they are about 1/2

2) 7/12 + 4/7 = 97/84= 1.15 approximately 1

which is 1m from the option

A radius of a circle is 8 centimeters long.
One centimeter is about 0.4 inches. About
how long is the radius of the circle in
inches?

Answers

Answer:

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Step-by-step explanation:

Which of the following is an equation of the line that passes through the point (1, 1) and has a slope of 2?

Answers

Answer:

You didn't provide " the following" from which to choose.

Here are two solutions

y = 2x - 1

y - 1 = 2(x - 1)

Please help me ASAP

Answers

Answer:

4. =3 ft

5. 2/1.25 lb

Answer:

4) 3 ft = 36in  ⇔   [tex]\frac{36in}{12in}[/tex]  = 3 inches

5) 2 lb = 32 oz  ⇔  [tex]\frac{32oz}{20oz}[/tex]  = 1.6 oz

Calculate the bank charges if a client wants to send a cash amount of R450 to a friend at an ATM without using a card

Answers

Answer:

R6.775

Step-by-step explanation:

Given that :

The transaction fee charged is calculated using the relation :

Transaction fee = R2.50 + 0.95%(amount deposited)

If amount to deposit is R450 ; the bank charge will be:

R2.50 + 0.95%(Amount deposited)

R2.50 + 0.0095(450)

R2.50 + R4.275

R(2.50 + 4.275)

R6.775

Which of the following best describes the term postulate?
A. A statement that is not officially defined but that is understood to be common sense

B. A precise statement of the qualities of an idea, object, or process

C. A logical arrangement of deductions that leads to the conclusion that a statement is always true

D. A statement that is assumed to be true without proof​

Answers

Answer:

D. A statement that is assumed to be true without proof​

Step-by-step explanation:

Please help me ASAP

Answers

Answer:

no

Step-by-step explanation:

no

What additional information is needed to prove the triangles are congruent by HL?

Answers

Answer:

bce is 90

Step-by-step explanation:

(2x–y)²–(y+2)²-----------

Answers

Answer:

4x² -4xy -4y -4

Step-by-step explanation:

[tex]\boxed{ {a}^{2} - {b}^{2} = (a + b)(a - b)}[/tex]

In this case, a= 2x -y and b= y +2.

(2x -y)² -(y +2)²

= (2x -y +y +2)[2x -y -(y +2)]

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

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

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

= 4x² -4xy -4x +4x -4y -4

= 4x² -4xy -4y -4

Alternatively, start by expanding the brackets.

[tex]\boxed{(a - b)^{2} = {a}^{2} - 2ab \: + {b}^{2} }[/tex]

[tex]\boxed{(a + b)^{2} = {a}^{2} + 2ab \: + {b}^{2} }[/tex]

(2x -y)² -(y +2)²

= 4x² -4xy +y² -(y² +4y +4)

= 4x² -4xy +y² -y² -4y -4 (expand)

= 4x² -4xy -4y -4 (simplify)

A 16 ft ladder leans against the side of a house the top of the ladder is 15 Ft off the ground find x the angle of elevation of the ladder round your answer to the nearest tenth of a degree

Answers

the answer should be 69.6 :)

Answer:

Step-by-step explanation:

how do you find the area of a rectangle​

Answers

Answer:

You multiply length by width.

Step-by-step explanation:

To find the area of a rectangle you multiply length and width together.

For example if a rectangle has length 2 and width 3 the area of the rectangle would be 6, since 2 * 3 is 6.

Answer:area =length x width

Step-by-step explanation:

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