A quadrilateral is shown. One pair of opposite sides have lengths of 10 inches and (x + 2) inches. The other pair of opposite sides have lengths (x + 5) inches and (2 x minus 3) inches. Based on the measures shown, could the figure be a parallelogram? Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 13 in. Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 8 in. No, there are three different values for x when each expression is set equal to 10. No, the value of x that makes one pair of sides congruent does not make the other pair of sides congruent

Answers

Answer 1
Answer: Choice A

Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 13 in.

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

Explanation:

Let's say the top and bottom sides are 10 inches and (x+2) inches.

If this was a parallelogram, then those opposite sides must be parallel and the same length. So x+2 = 10 which leads to x = 8 after subtracting 2 from both sides.

Now let's consider the other pair of opposite sides (x+5) and (2x-3), which would be the left and right sides. Set them equal to one another and solve for x.

x+5 = 2x-3

x-2x = -3-5

-x = -8

x = 8

We arrive at the same x value, which confirms we do have a parallelogram.

Use this x value to find the unknown sides

x+2 = 8+2 = 10

x+5 = 8+5 = 13

2x-3 = 2(8)-3 = 13

This parallelogram has sides of 10, 13, 10, 13

It might be helpful to think of a 10 by 13 rectangle. However, the parallelogram may or may not be a rectangle.


Related Questions

how to solve this ; 4(x + y) = 48

Answers

Answer: (distribute)
4(x+y) = 48
4x + 4y = 48

Answer:

Step-by-step explanation:

First I would begin by dividing both sides by 4

4(x+y) = 48     4/4 = 1      48/4 = 12

x + y = 12

next I'm going to assume this is needed in y = mx+b format so I will solve for y by subtracting the x:

y = -x + 12

this line has a slope of -1 and has a y-intercept at 12.

How can you round 493 and 917 to the underlined number

Answers

The rounding off a number of 493 is 490 and The rounding off a number of 917 is 920.

Rounding off number:

1)Round the number up if 5, 6, 7, 8, or 9 follow the number you are rounding.

2)Round the number down if the rounded number is followed by a 0, 1, 2, 3, or 4.

The given numbers are 493 and 917

The rounding-off number of 493 is

⇒493, The last number is 3, need to decrease and round off⇒490

The rounding-off number of 917 is

⇒917, The last numberis 7, need to increase and round off⇒920

Therefore, The rounding off a number of 493 is 490 and The rounding off a number of 917 is 920.

Learn more about numbers here:

https://brainly.com/question/17429689

#SPJ9

Rory’s garden is square in shape. The length of one side of her garden is 5^2 feet. What is the area of her garden in square feet? Express your answer using exponents

Answers

If the length of one side of Rory's garden is [tex]5^{2}[/tex] then the area of the garden will be equal to 625 [tex]feet^{2}[/tex].

Given that Rory' garden is square in shape and the length of one side of the garden is [tex]5^{2}[/tex] feet.

We are required to find the area of the garden.

Area is basically the quantity that expresses the extent of a region on the plane or on a curved surface.

Area of square=Side*Side

Area=[tex]5^{2}[/tex]*[tex]5^{2}[/tex]

=[tex]5^{4}[/tex]

=625 [tex]feet^{2}[/tex]

Hence if the length of one side of Rory's garden is [tex]5^{2}[/tex] then the area of the garden will be equal to 625 [tex]feet^{2}[/tex].

Learn more about area at https://brainly.com/question/25965491

#SPJ9

i need to find X i really dont feel like doing this

Answers

Here you go! Hope this helps

Answer:

x=80 degrees

Step-by-step explanation:

Since the angle is supplementary with the 100 degree angle, then the angles must equal 180 degrees.

[tex]180-100=80[/tex]

Only answer if you know you're correct 100%

Answers

The distance between -10 and 5 on a number line is 15

Distance between points on a number line

From the question, we are to determine the distance between the given points on a number line

The given points are -10 and 5

On a number line, the distance between any two points is the difference between the largest number and the smallest number

That is,

Distance between two points on a number line = Value of the largest number - Value of the smallest number

The given points are -10 and 5

The largest number is 5

and

The smallest number is -10

Thus,

Distance between -10 and 5 on a number line = 5 - -10

Distance between -10 and 5 on a number line = 5 + 10

Distance between -10 and 5 on a number line = 15

Hence, the distance between -10 and 5 on a number line is 15

Learn more on Distance between points on a number line here: https://brainly.com/question/17143316

#SPJ1

The answer and all work is shown in the provided screenshot! :)

Have a great day!

If ST = 5, TU = 2x, and SU = x + 9, what is SU? geometry

Answers

Answer:

Do like this:

Step-by-step explanation:

x+9=5+2x

and

2x-x=9-5

x=4

Pls answer report if wrong

Answers

Answer:

III

Step-by-step explanation:

It is expanded by an uneven scale factor.

Determine the sign of your answer, then find the sum or difference. (-10)+1

Answers

[tex]\huge\text{Hey there!}[/tex]


[tex]\large\textsf{Looks like you are finding the \boxed{sum} in this question you are \boxed{\rm{adding}} .}[/tex]
[tex]\large\textsf{Now, let us solve for your given equation.}[/tex]

[tex]\mathsf{(-}\large\textsf{10})\large\textsf{ + 1}\\\\\large\textsf{To find the given answer to this equation, you have to START at }\mathsf{-}\textsf{10 \&}\\\large\textsf{go UP 1 space to the right \& you have reached your answers.}\\\\\mathsf{(-}\large\textsf{10})\large\textsf{ + 1}\\\mathsf{= -}\large\textsf{10 + 1}\\\mathsf{= -\large\textsf{9}}\\\\\\\huge\textbf{Therefore, your answer should be:}\\\huge\boxed{\mathsf{-9}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

There are a total of 463,100 books in a library. What is the value of the exponent when this number is written in
scientific notation? Please hurry, thank you

Answers

Answer:

Step-by-step explanation:

Answer: 4.631*10^5

Step-by-step explanation:

463,100=

400,000+63,100=

4*100,000+(63,100/100,000)*100,000=

4*10^5+(631/1000)*10^5=

4*10^5+0.631*10^5=

(4+0.631)*10^5=4.631*10^5

The value of exponents when 463,100 is written in scientific notation is 5.

What is a number system?

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

Scientific notation is a way to represent numbers in exponents form of 10

For example 2.245 × 10³

Given that,

Number of books in library = 463,100

Multiply and divide by 10⁵

⇒ 463,100 × 10⁵/10⁵

⇒ 4.63100 × 10⁵

Hence "The value of exponents when 463,100 is written in scientific notation is 5".

For more about the number system,

https://brainly.com/question/22046046

#SPJ2

Pls answer I report if wrong

Answers

Answer:

3

Step-by-step explanation:

nafissa have eaten 60 apple 1day. so how many apple will she eat within 1week​

Answers

Answer: 420

Step-by-step explanation:

60 apples per day times 7 days in a week = 420

What is the standard form for 4x10,000+8x1,000+2x100+3x10+6x1+7x1/10

choices

48,237.07

48,236.7

4,830.07

none of these


:)

Answers

Answer:

48,236.7

Step-by-step explanation:

40,000 + 8,000 + 200 + 30 + 6 + 7/10

7/10 can also be written .7

38t-16t2
What is the height of the soccer ball 1.25 seconds after Callie kicks it?

Answers

Answer:

7.5

Step-by-step explanation:

38 times 1.25

minus 16 times 1.25

times 2

an angle measures 2.8 degrees more than the measure of its supplementary angle. what is the measure of each angle?

Answers

The measure of each of the supplementary angles are: 88.6° and 91.4°.

What are Supplementary Angles?

Based on the definition of supplementary angles, the sum of two angles that are supplementary equals 180 degrees.

Given the following:

Let one of the angles equal x

The second angle would be expressed as: x + 2.8

Therefore, we would have the equation:

x + 2.8 + x = 180 [supplementary angles]

2x + 2.8 = 180

2x = 180 - 2.8

2x = 177.2

x = 177.2/2

x = 88.6

Thus:

One of the angles = x = 88.6°

Th second angle is: x + 2.8 = 88.6 + 2.8 = 91.4°

Therefore, the measure of each of the supplementary angles are: 88.6° and 91.4°.

Learn more about supplementary angles on:

https://brainly.com/question/8992900

#SPJ1

If f(x) = x−6x^2 find (f(x + h) − f(x))/h

Answers

The value of  (f(x + h) − f(x))/h is 1 - 6h - 12x.

For any function, say f(x) = x + a, the value of f(x+b) = (x + b) + a or (x + b + a)

Here, we are given that

f(x) = x−6x^2

and we need to find the value of (f(x + h) − f(x))/h

Firstly,

f(x + h) = (x+h) - 6(x+h)^2

Now, f(x + h) − f(x) = (x+h) - 6(x+h)^2 - (x−6x^2)

= (x+h) - 6(x+h)^2 - x + 6x^2

= x - x + h - 6(x^2 + h^2 + 2xh) + 6x^2

= h - 6x^2 - 6h^2 - 12xh + 6x^2

=  h - 6x^2  + 6x^2 - 6h^2 - 12xh

= h - 6h^2 - 12xh

= h( 1- 6h - 12x)

Thus, (f(x + h) − f(x))/h = [h( 1- 6h - 12x)] / h

= 1 - 6h - 12x

Therefore, the value of  (f(x + h) − f(x))/h is 1 - 6h - 12x.

Learn more about functions here-

https://brainly.in/question/26266500

#SPJ9

find the x and y intercepts for y=-negative (2/5)x+3

Answers

Answer:

(0;3), (7.5;0).

Step-by-step explanation:

if the given equtaion is y=-0.4x+3, then

1) condition 'x-intercept' means y=0, then

-0.4x+3=0; ⇒ x=7.5;

2) condition 'y-intercept' means x=0, then

y=-0.4*0+3; ⇒ y=3.

3) finally,

x-intercept is x=7.5;

y-intercept is y=3.

In each equation below, the letter x stands for an unkn
number x stands for. Write down exactly how you do it
1.
X/5=7

Answers

Answer:

[tex]x=35[/tex]

Step-by-step explanation:

Given the following question:

[tex]\frac{x}{5} =7[/tex]

When x is the numerator of the fraction you multiply each side by the denominator in order to isolate the variable.

[tex]\frac{x}{5} =7[/tex]
[tex]\frac{5x}{5} =x[/tex]
[tex]7\times5=35[/tex]
[tex]x=35[/tex]

Hope this helps.

Answer:

x = 35

Explanation and Chcek part below

Hope this helps :)

Step-by-step explanation:

x

Fraction bar/divide ---> --- = 7

5

1. Isolate the variable since it says dividing by 5 we must do the inverse operation which is multiplying by 5 to cancel them out. We are multiplying by 5 on one side of equation so we must multiply on the other side too. When a number is next to parenthesis it means to multiply the 2 numbers.

x

(5) -- = 7 (5)

5

x = 35

Check:

35

---- = 7

5

7 = 7

True statement.

−12 + −9 = ? I need an answer!

Answers

Answer: -21

Step-by-step explanation:

Because both numbers are negatives then the result is also a negative. You are ultimately adding negatives

-12+-9 = -21

Please help me solve this question. The correct answer will be marked as brainliest

Answers

Answer:

No

Step-by-step explanation:

The largest number would have 6 counters in the 10s and the remainder the in the 1s column making the number 63 which is greater than 51.111

See your levels
Mr. Camacho has 275 rubber stamps. He wants to give the same number of stamps to
each of his 8 students. If he gives away as many stamps as he can, how many stamps will be
left over?
Submit
rubber stamps
I do
Company Blog Help center User guides Tell us what you think Testimonials Contact us Terms of service Priva
IM LEARNING 2022 IXL Learning. All rights reserved.

Answers

Answer:

3 Stamps left

Step-by-step explanation:

275/8=34.375

34*8=272

275-272=3

Answer: 3

Explain how you know 671,287 > 617,827

Answers

By comparing the  given integer we come to know that 671,287 is greater than 617,827.

What is integer?

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Zero is not a fraction or decimal of any number. It is neither positive nor negative.

Given:

The given integer is

671,287 and  617,827

According to given question we have

If one number is significantly greater than another number, it may be difficult to compare the numbers effectively with a number line.

The number farthest to the right is the greater number.

So,  671,287 > 617,827.

Therefore, by comparing the  given integer we come to know that 671,287 is greater than 617,827.

Learn more details about integer here:

https://brainly.com/question/15276410

#SPJ1

S is between R and T. RS = 5x-6, RT =3x+2
and ST = 2x. Sketch the scenario, then
find X, RS and RT.
X=
RS=
RT=

Answers

Answer:

Step-by-step explanation: bnnnnnnnnnnnnnnm

Statins are used to keep cholesterol in check and are a top-selling drug in the U.S. The equation:

S-1.8x=6

gives the amount of sales (S) of statin in billions of dollars a years after 1998. According to this equation, how much will/did people in the U.S. spend on statins in the year 2008?

Answer: People in the U.S. will spend

billion dollars on statins in 2008.

Answers

People of the US will spend 24 billons dollars on statins in the year 2008.

What is an equation?

An equation sometimes represents the output for a given specified input.

The amount of sales(S) of a top-selling cholesterol control drug statin is given by the equation S - 1.8x = 6.

Assuming x represents the number of years.

In the given question number of years is (2088-1998) = 10 years.

now we have to substitute these values in the sales of statins which will be

S - 1.8(10) = 6 in billions of dollars.

S - 1.8(10) = 6 billion dollars.

S - 18 = 6 billions.

S = 6 + 18 billions.

S = 24 billion dollars.

learn more about equations here :

https://brainly.com/question/10413253

#SPJ1

Simplify negative 2 and 3 over 5 minus 6 and 2 over 7.

negative 12 and 1 over 2
negative 8 and 31 over 35
negative 8 and 6 over 35
12 and 6 over 35

Answers

The value of the expression is  -8 31/35

How to simplify the given expression?

The expression is given as:

negative 2 and 3 over 5 minus 6 and 2 over 7.

Rewrite properly as

- 2 3/5  - 6 2/7

Express as improper fraction

-13/5 - 44/7

Take the LCM

(-13 * 7 - 44 * 5)/35

Evaluate the difference of products

-311/35

Express as mixed fraction

-8 31/35

Hence, the value of the expression is  -8 31/35

Read more about fractions at:

brainly.com/question/11562149

#SPJ1

Answer:

B

Step-by-step explanation:

If m∠QOS=51​, m∠POR=59​, and m∠POQ=25​, what is m∠​ROS?

Answers

Answer:

 ∠ROS = 19

Step-by-step explanation:

The angle sum theorem is applicable.

 ∠POQ + ∠QOR = ∠POR

 ∠QOR = ∠POR - ∠POQ . . . . . subtract ∠POQ

__

 ∠QOR +∠ROS = ∠QOS

 ∠ROS = ∠QOS - ∠QOR . . . . . subtract ∠QOR

 ∠ROS = ∠QOS - (∠POR - ∠POQ) . . . . . substitute for ∠QOR

 ∠ROS = ∠QOS - ∠POR + ∠POQ = 58 -61 +22

 ∠ROS = 19

Step-by-step explanation:

Pop es igual a 95 y ros es 55

What is the domain of the function expressed by this formula?

Y= 1/x - 7

Answers

Answer:

x cannot equal seven, there's a mark for it in RSM menu

Step-by-step explanation:

so the answer is y = -7

In Fairbanks the temperature went down 20 degrees in 6 hours

Answers

Answer: 3.3 hours

Step-by-step explanation:

[tex]\sqrt[3]{1000}[/tex]

Answers

given ∛1000

∛1000 = ∛(10 × 10 × 10)

∛1000 = 10

Jada cuts an 11 inch strip of paper into 5 equal parts. How many inches long is each part?

Answers

Answer:

2.2 inches

Step-by-step explanation:

because the question says divided equal parts you can simply divide 11 by 5

11inches/5eaqual parts

11/5 = 2.2

Each part is 2.2 inch in length.

What is Unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Total length of strip = 11 inch

Now, the strip is cuts into 5 equal parts.

So, the length of each part is

=11/5

=2.2 inch

Hence, the each part is 2.2 inch in length.

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ2

Write the ordered pair for each
letter on the graph

Answers

The ordered pairs are;

A (2, 4)

B ( -1, 2 ) ,

C (-3, -2) ,

D (2, 0) ,

E ( 0, -4 )

F ( 5, -4 )

What is Coordinate?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Now, To find ordered pairs we can count the number of intervals on horizontal and vertical lines.

Horizontal line gives the coordinate of x - axis and vertical line gives the coordinate of y - axis.

So, To find ordered pairs as;

We start at the origin ( where the axis cross).

The point A move 2 units to the right and 4 units up.

So, The ordered pair of A is;

⇒ A (2, 4)

The point B move 1 units to the left and 2 units up.

So, The ordered pair of B is;

B ( -1, 2 ) ,

The point C move 3 units to the left and 2 units down.

So, The ordered pair of C is;

C (-3, -2) ,

The point D move 2 units to the right and on x - axis.

So, The ordered pair of D is;

D (2, 0) ,

The point E on y- axis and move 4 down.

So, The ordered pair of E is;

E ( 0, -4 )

The point F move 5 units to the right and 4 units down.

So, The ordered pair of F is;

F ( 5, -4 )

Therefore, The ordered pairs are;

A = (2, 4)

B = ( -1, 2 ) ,

C = (-3, -2) ,

D = (2, 0) ,

E = ( 0, -4 )

F = ( 5, -4 )

Learn more about the ordered pair visit:

https://brainly.com/question/12160473

#SPJ1

Other Questions
A client in cardiovascular collapse requires pharmacological interventions. what route of administration is most likely appropriate? Which adversaries put an end to the roman empire by deposing the emperor, romulus augustulus, in 476 c.e.? Find the value of x in the given diagram. Employers who require the use of personal mobile devices in the workplace must also reimburse their employees for cellular voice and data usage. True or false What is the intended effect of an idea-associative montage? darcy has a summer job painting houses. he is asked to paint the wooden siding on a house that is 28 feet wide and 35 feet long. the siding extends 6 feet up the side of the house. a) what is the total surface are he must paint? b) a one gallon can of the stain that darcy is using covers approximately 225 ft squared. if darcy applies 2 coats of stain, how many cabs of stain should he buy? hellllllllllllllllllllllllpppppppppppppppppppp the sum of two numbers is 51, five times the larger number decreased by 7 equals one, more than 8 times the smaller number. find the numbers Immediately after birth, the reicher baby was described as being a newborn or a/n _____. Adam corporation uses the cash-basis of accounting. adam corporation should record expenses when:_____ Exercise 1 Underline the adjective clause, and circle the noun or pronoun it modifies.The telegraph, which was the forerunner of the telephone, transmits signals over a wire. It is up to the individuals being negatively affected by the social determinants of health to change the barriers and policies. True or false?. The pancreas releases _________ to buffer the ph of the stomach juices. a strong base to counter the strong acid pepsin nahco3 hcl atpase activating protein On june 1, pizza company paid $100 for advertisements to be run on june 1. pizza company's entry to record this payment will include a $100 ______. Why do you think some Europeans went to the extra effort oftraveling over land to trade with the Safavids? Which action would the nurse perform during a fire? one, some, or all responses may be correct. What is the solution (x,y) to the system of equations above? The annual inventory cost C for a manufacturer is given below, where Q is the order size when the inventory is replenished. Find the change in annual cost when Q is increased from 340 to 341, and compare this with the instantaneous rate of change when Q = 340. (Round your answer to two decimal places. 11 = 5+ySolve for Y Exercise 1 Circle the number in front of each complex sentence.Douglass continued to fight for reform until his death in 1895, when he collapsed following a woman suffrage meeting.