3.If ABCD is a parallelogram with AB = 2x + 1, AD = x + 13, and DC = 3x -11. Determine if ABCD is
rhombus. Show algebraic work to justify your answer.

Answers

Answer 1

Answer:

  ABCD is a rhombus

Step-by-step explanation:

Sides AB and DC are opposite and equal in parallelogram ABCD. This means ...

  AB = CD

  2x +1 = 3x -11

  12 = x . . . . . . . . add 11-2x to both sides

Sides AB and CD have length ...

  2x +1 = 2(12) +1 = 24 +1 = 25

Then the length of side AD is ...

  AD = x +13 = 12 +13 = 25

Adjacent sides AB and AD of the parallelogram have the same length, The figure is a rhombus.


Related Questions

A cuboid has total surface area of 280m2 breadth 5cm and heinght 6cm.Find its length​

Answers

Step-by-step explanation:

Solution,

In the given cuboid, area of total surface (A)=280 cm²

Breadth ( b ) = 5 cm

Height ( h ) = 6 cm

Total surface area of cuboid = 2 ( lb + bh + lh )

or , Area = 2 ( lb + bh + lh )

or , 280 = 2 ( l × 5 + 5 × 6 + l × 6 )

or , 280 = 2 ( 11 l + 30 )

or , 2 ( 11 l + 30 ) = 280

or , 11 l + 30 = 280 ÷ 2

or , 11 l + 30 = 140

or , 11 l = 140 - 30

or , 11 l = 110

or , l = 110 ÷ 11

l = 10

Thus, the length is 10 cm...

10 cm is the right answer

Help to solve quadratic formula and round to nearest hundredth

Answers

Answer:

x1 = 2.86

x2 = -0.53

Step-by-step explanation:

[tex]a=6, b=-4, c=-9[/tex]

[tex]x=\frac{-(-14)+-\sqrt{(-14)^{2}-4(6)(-9) } }{2(6)}[/tex]

[tex]x=\frac{14+-\sqrt{412} }{6}[/tex]

[tex]x=\frac{14+-20.3}{12}[/tex]

[tex]x_{1} =\frac{14+20.3}{12} =2.86[/tex]

[tex]x_{2} =\frac{14-20.3}{12} =-0.525[/tex]

Hope this helps

You pick a card at random, put it back, and then pick another card at random.

2
3
4
5


What is the probability of picking a 3 and then picking a 3?

Answers

Answer:

0%

Step-by-step explanation:

Don't quote me on that but I'm pretty sure

Solve the following equations

3y" + 2y'= 0

Answers

Answer:

the first one is _2

second one is 3

Dave wants to buy 5 games, 10 Funko Pops, and 6 toys. He was $2,614 .If each game is $50, each Funko Pop is $30, and each toy is $40. How much money does Dave have left?

Answers

x = games
y = funk pops
z = toys

50x + 30y + 40z = total

50(5) + 30(10) + 40(6) = total
250 + 300 + 240 = 790

so then he has $2,614

2614 - 790 = 1824

he has $1,824 left.



Answer:

$1,824

Step-by-step explanation:

Games Dave wants to buy: 5

Cost of each game: $50

Cost of 5 games = $50 x 5

= $250

Funko pops Dave wants to buy: 10

Cost of each funko pop: $30

Cost of 10 funko pops = $30 x 10

= $300

Toys Dave wants to buy: 6

Cost of each toy: $40

Cost of 6 toys = $40 x 6

= $240

Sum of all Dave's things = ($250 + $300 + $240)

= $790

Money Dave has = $2,614

Money left with him = ($2,614 - $790)

= $1,824

Hence, $1,824 are left with Dave after buying 5 games, 10 Funko pops and 6 toys.

Pls correct me, if I am wrong :)

Have a great day!

Thanks!

If a = 7^x , b = 7^y and a^yb^x = 49 show that xy = ​

Answers

I hope this helps you :)

I need help trying to figure out what is the area in my given shape

Answers

The area of a triangle is base times height divided by two

In this figure, its

3*6/2=

9

One number is 3 less than 4 times a second number. The difference of the
first number and twice the second number is 7. What are the two numbers?
Show your work.

Answers

Answer:

the two numbers are 5 and 17

Step-by-step explanation:

4y - 3 = x

x - 2y = 7

to find y:

x - 2y = 7

(4y - 3) - 2y = 7

2y - 3 = 7

2y = 7 + 3

2y = 10

y = 10/2

y = 5

to find x :

4y - 3 = x

4 ( 5 ) - 3 = x

20 - 3 = x

17 = x

what is 2x+4>16
x>10
x>6
x<10
x<6

Answers

Heya!

2x + 4 > 16

2x > 16 - 4

2x > 12

x > 12 ÷ 6

x > 6

Hope it helps ya!

Plot the point that is symmetric to (0,-5) with respect to the x-axis

Answers

Answer:

If this point is 0, -5, one of the points of symmetry would be a simple reverse on the y axis. It would be 0, 5.

If we are talking respect to the x axis in general, another reverse point or quadrant would be -5, 0.

if you need more examples, let me know and i might be able to help more on my free time .

Graph the line that passes through the points (2,5) and (-1, –4) and determine
the equation of the line.

Answers

Answer:

ask a brainly person to help.

Step-by-step explanation:

i am stuk to

there are two boxes containing only purple and yellow pens.
Box A has 5 yellow pens and 15 purple pens
Box B has 4 yellow pens and 4 purple pens.

event1: choosing a purple pen from box B.
event 2 :choosing a yellow pen from box A.
event 3: choosing yellow or purple from Box B
event4 : choosing a purple pen from Box A

Answers

Answer:

I'm not sure what the question is asking here

a group of 150 month grade students responded to a survey that asked which math course they were enrolled in.

Answers

Answer:

Step-by-step explanation:

Correct option is C)

19% of all the survey respondents implies we find out 19% of 310.

19% of 310=310×

100

19

=58.9 which is approximately equal to 59.

Seen from the table, 59 is the number of males taking geometry.

Radhika buys papaya at the rate of p(x) = x² – 12x – 220 per kg
(i) the factors of the given polynomial
(ii) if she purchase 5kg papaya, what money she have to pay?​

Answers

Answer:

(i) The factors of the given polynomial is (x – 22) and (x + 10)

(ii) If she purchase 5kg papaya then she pays 110

Step-by-step explanation:

Given;p(x) = x² – 12x – 220 per kgTo Find;The factors of the given polynomialif she purchase 5kg papaya, what money she have to pay?(i)

Now,

x² – 12x – 220 = 0

Splitting the middle term

x² – 22x + 10x – 220 = 0

x(x – 22) + 10(x – 22) = 0

(x – 22) + (x + 10) = 0

x – 22 = 0 or x + 10= 0

x = 22 or x = -10

Here, (-10) is the negative value hence it is not possible

So, The value of x is 22

The factors of the given polynomial is (x – 22) and (x + 10)

(ii)

if she purchase 5kg papaya then,

we know the price of 1 kg papaya i.e., 22 per kg

So,

5 × 22 = 110

Thus, if she purchase 5kg papaya then she pays 110

 

-TheUnknownScientist 72

The amount of time it takes Oliver to run his trains around the toy railroad track is directly proportional to the number of trains that he is playing with. If it takes him a minutes to run c trains around the track, how many trains, in terms of a and c, is he playing with if it took him 20 minutes?

A) 20ac
B) 20a/c
C) 20c/a
D) a/c

Answers

Answer:

A)20ac because if it takes him a minutes to run

A circle has a diameter of 21 meters. What is the circumference of the circle? Use 22/7 for ∏.

Answers

Answer:

66

Step-by-step explanation:

The diameter of the circle is 21. The formula for circumference is pie*radius*2. We don't have the radius but the diameter is just double the radius so just don't multiply by 2. 21 x 22 = 462. 46s divided by 7 is 66. Enjoy your answer :D

f(x) = x2 + 12x +32

Find the roots of the function

Answers

Answer: Evaluate

Step-by-step explanation:

Help 10 points. Please

Answers

Answer:

x has to be greater than 0

Step-by-step explanation:

It basically shows you that based on the inequality sign.

Answer:

x solved is 0 < x

and graphing it on the number line

-1  0  1

    O->

Step-by-step explanation:

So, solving for x is easy you divide the 2 from 2x onto the other side and 0/2 is 0 meaning 0 < x, the < stays the same as you divided with a positive and it would start at 0 and the line would go to the right as 0 is less than x. if you have to it would be a open circle with a dotted line if deltamath makes you do that too.

#5 Solve the equation
below. Show all of your
work.
P-9= 13.52

Answers

Answer:

Try 22.52.

Step-by-step explanation:

P-9=13.52

-9+9 (Cancels)

13.52+9= 22.52

22.52-9= 13.52

Add or subtract each fraction

2 + 15/8

Answers

Answer:

3 7/8

Step-by-step explanation:

2 + 15/8 = 2/1 + 15/8

Let's add 2/1 + 15/8 like this:

2/1 × 8/8 = 16/8

16/8 + 15/8 = 31/8

Since that is an improper fraction, we will simplify it.

31/8 = 3 7/8

3 7/8 because the equation equals 3.875 and as a fraction it equals 3 7/8

I’m confused, mostly on 4. How can you prove it, and are they parallel?

Answers

Answer:

It is parallel and yes you can prove it.

Step-by-step explanation:

I would use a tool that you can use to figure out the angle, check all the corners and if the smaller one are the same and the wider corners are the same then then would be parallel. That only works though if there was a line going through like your problems. If you had a graph it would be easier.

For which value or values are the expressions 15 k+9 and 3(2k+3)+9k

Answers

Answer:

3(5k+3), 6k+9+27k

Step-by-step explanation:

7/10 • 2/9 + 2/3
thank you!

Answers

Answer:

37/45

Step-by-step explanation:

first you do 7/10 times 2/9 which you get 7/45 then you add 2/3 so the answer is 37/45

i rlly need one last brainliest please mark!

Answer:

37/45

Step-by-step explanation:

7/10 • 2/9 + 2/3

7/5 • 1/9 + 2/3

7/45 + 2/3

21/135 + 90/135

111/135

37/45

Hope this helps!

a bakery sold 10 more cakes this month than it did the last month. It also sold 3 times as many cakes in this month than in the month before the last month. If that total number of cakes it sold in the last 3 months is 116, how many cakes did it sell last month?​

Answers

Answer:

Last month it sold 338 cakes.

Step-by-step explanation:

Let total cakes this month,last month and last 3 months be x,y and z respectively,

x = y + 10...

x = 3z

z = 116

Now, we have to find y,

x = y + 10

or, 3z = y + 10

or, 3•116 = y + 10

or, 348 = y + 10

or, y = 348 - 10

so, y = 338

Find the slope please I need help

Answers

to get the slope of any straight line we only need two points off of it, let's use the ones in the picture below.

[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-8}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{(-1)}}}\implies \cfrac{-10}{4+1}\implies \cfrac{-10}{5}\implies -2[/tex]

Expand.
Your answer should be a polynomial in standard form.
(-p? - 4p - 3)(p2 + 2)

Answers

Answer: Here is the answer.

Step-by-step explanation: we have to multiply each of the terms with the other terms.

=(-p²+4p-3)(p²+2)

=-p²*p²+ ( -p²*2) + 4p*p² + 4p*2 - 3*p²+ ( -3*2)

= -p³ -2p²+4p³+8p-3p²-6

=3p³-5p²+8p-6  (I grouped the like terms and added them)

therefore, 3p³-5p²+8p-6 is the polynomial in the standard form.

which stituation could be modeled by the expression -12x 1/3

Answers

Answer:

[tex]-4[/tex]

Alternative forms:

[tex]-2^{2}[/tex]

Step-by-step explanation:

[tex]-12[/tex] × [tex]\frac{1}{3}[/tex]

Cross out the common factor:

[tex]-4[/tex]

What is the area of the triangle?

Answers

Answer:

Area = 40 sq units

Step-by-step explanation:

Area of a triangle:

A = 1/2•b•h

= 1/2•8•10

= 40 sq units

Area = 1/2•b•h
Area = 1/2•8•10
Area = 4* 10
Area = 40 square units

Hope this helps!

Question: “How many people are greater than 62 inches tall? “

Can someone please help me kn this :)

Answers

Answer:

5

Step-by-step explanation:

ABC and PQR are similar. Find the missing side length.

Answers

I believe it is 6 for ac
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