find the value of x please :)

Given:

RSTU is a parallelogram and ST is congruent to TU.

To find:

Why RSTU must also be a rhombus?

Solution:

We know that the opposite sides of a parallelogram are parallel and congruent.

RSTU is a parallelogram. So,

[tex]RS\parallel TU[/tex] and [tex]ST\parallel RU[/tex]            [Property of parallelogram]            ...(i)    

[tex]RS\cong TU[/tex] and [tex]ST\cong RU[/tex]            [Property of parallelogram]            ...(ii)    

It is given that,

[tex]ST\cong TU[/tex]                ...(iii)

From (ii) and (iii), we get

[tex]RS\cong TU\cong ST\cong RU[/tex]          ...(iv)

From (i) and (iv), we get RSTU is a rhombus because all sides are congruent and appositive sides are parallel.

A parallelogram with each side equal is known as rhombus.

As for the given parallelogram all the sides are equal, therefore it should be rhombus.

Parallelogram is a closed shaped quadrilateral polygon in which opposite sides are equal and parallel and opposite angles are equal.

Rhombus is a closed shaped quadrilateral polygon in which all the sides are equal and opposites sides are parallel also opposite angles are equal.

Given information-

In the given problem [tex]RSTU[/tex] is a parallelogram.

In the given parallelogram [tex]ST[/tex] is congruent to [tex]TU[/tex].

The image of parallelogram is attached below.

For a parallelogram opposite sides are equal. thus,

[tex]RS=TU\\RU=ST[/tex]

As In the given parallelogram [tex]ST[/tex] is congruent to [tex]TU[/tex]. Thus,

[tex]ST=TU[/tex]

Now the side [tex]ST[/tex] is equal to the side [tex]RU[/tex] and side [tex]RS[/tex] is equal to the side [tex]TU[/tex]. Thus,

[tex]RS=ST=TU=RU[/tex]

All the sides of a rhombus is equal in length. A parallelogram with each side equal is known as rhombus.

As all the sides are equal of the given parallelogram. Thus the given parallelogram is rhombus.

Hence, as for the given parallelogram all the sides are equal, therefore it should be rhombus.

Learn more about the parallelogram and rhombus here;

https://brainly.com/question/20627264

Answer:

The mean is decreased by 1.25.

The mode  remains the same.

The median is decreased by 2 .

Step-by-step explanation:

Re arranging the data 14, 22, 20, 25, 26, 17, 21, 30, 27, 25, 14, and 29.

Gives

14, 14,17,20,  21, 22, 25,25, 26,  27, 29,30,  

Now the mean = 14, +14,+17, +20, +21,+ 22, +25,+25,+ 26, +  27, +29,+30/12

Mean= 270/12=22.5

The Mode ( the repeated value) = 14,25

Median ( the average of middle value) =  22+25/2= 23.5

When 30 is replaced is by 15

Now the mean = 14, +14, +15,+17, +20, +21,+ 22, +25,+25,+ 26, +  27, +29/12

The  Mean becomes = 255/12=21.25

The Mode ( the repeated value) = 14,25

Median ( the average of the middle value) =  21+22/2= 21.5

The difference between the 2 means  is = 22.5- 21.25= 1.25

The mode  remains the same.

The median is decreased by 2 .

The mean is decreased by 1.25 which is more than 50 % of the value obtained between the ratio of the omitted and added value (30/15=) i.e. 2

CONCEPTO

Una ecuación es una igualdad matemática entre dos expresiones, denominadas miembros y separadas por el signo igual, en las que aparecen elementos conocidos y datos desconocidos o incógnitas, relacionados mediante operaciones matemáticas

Answer:

Sarah was driving faster by 10 mph.

She was driving 70 miles per hour while Jonathan was only driving 60 miles per hour.

Answer:

32% of the sixth grade students live on Saturn.

(which would be about 29 of them)

Answer: if ur looking 4 the surface area, then its 216 cm2.

Step-by-step explanation:

a= 1/2 b h

a= 1/2 (6) (4)

a= 12

12x2=24

a=lw

a= 12(5)

a= 60

60x2= 120

a=lw

a= 6(12)

a= 72

24+72+120= 216

Answer:

y = -14

Step-by-step explanation:

3y = -42

Divide both sides by 3:

y = -14

Answer:

-14

Step-by-step explanation:

-42 divided by 3 =-14

Step-by-step explanation:

(3x-1)(x+1)=3(3x-4+x²)

open the brackets

=3x²+3x-x-1=9x-12+3x²

=3x²+2x-1=9x-12+3x²

collecting like terms

=3x²-3x²+2x-9x=-12+1

=-7x=-11

=x=11/7

Answer:

should be 7776

Step-by-step explanation:

I just used an area for cubes calculator.

Answer:

Step-by-step explanation:

[tex]v = 10 + 3 \times 2.5 \\ v = 10 + 7.5 \\ v = 17.5[/tex]

This is your answer :))

Answer:

V = 17.5

Step-by-step explanation:

[tex]v = u + at \\ v = 10 + 3(2.5) \\ v = 10 + 7.5 \\ v = 17.5[/tex]

I hope that is useful for you :)

Answer: 491 cards

Step-by-step explanation:

Given

Steve had 10 more cards than Jeff

Suppose Jeff has x cards

So, steve has x+10 cards

Steve handover his cards to Jeff

Now, Jeff has x+x+10=2x+10 cards

It must be equal to 992

[tex]\Rightarrow 2x+10=992\\\Rightarrow 2x=982\\\Rightarrow x=491\ \text{cards}[/tex]

Jeff started with 491 cards

Answer:

13(g+4)=79=16    if          -13(g+4)=79+16

g=43/13                               g=-147/13=-11 1/13

Step-by-step explanation:

13g+52=95               -13g-52=95

13g=95-52                -13g=95+52

13g=43                      -13g=147

g=43/13                       g=-147/13=-11 1/3

Answer:

Airplane #1 equation: y=5/13x+42/13

Airplane #2 equation: y=1/3x+14

Step-by-step explanation:

So to find the slope of each airplane, you use the formula y2-y1/x2-x1. That means, for airplane#1 the equation will be 9-4/15-2. Simplify this and get 5/13. Then, for airplane#2, the equation will be 12-9/6-15. Simplify this and get 3/-9 and divide each side by 3 to get 1/-3 or -1/3. Next, use point slope formula to find the system of linear equations. Point slope formula is y-y1=m(x-x1). M is the slope. Use any point from the line. In this case, I will use (2,4). Tat means the first airplane's equation would be y-4=5/13(x-2). Then y-4=5/13x-10/13. Then, convert four into a fraction with a denominator of 13. This means, you have to multiply 4 by 13 to get 52/13. Add 52/13 to -10/13 to get 42/13. That means the first equation will be y=5/13x+42/13. The second equation point will be (6,12). This means the equation will be y-12=-1/3(x-6). Simplify this to get y-12=-1/3x+2. Simplify this to get y=1/3x+14. Therefore, Airplane#1 equation will be y=5/13x+42/13 and airplane #2 equation will be  y=1/3x+14.

Hope this helps

Answer:

4 for 3, 4 for 5, and 1 for 4

Step-by-step explanation:

khan academy

Answer:

3-4

4-1

5-4

Step-by-step explanation:

Count how many number there are and put them in the table.

Answer:

50-50 chance

Step-by-step explanation:

Even: 2 4 6 8 10 12 14 16 18 20

Odd: 1 3 5 7 9 11 13 15 17 19 21

Answer:

50:50 chance

Answer:

x-45=12

Step-by-step explanation:

a number equals x

difference equals -

of a number and 45 so 45 first

is equals =

12 is after is so 12

Answer:

A math test

Step-by-step explanation:

I just Goggled it lol

Answer:

b

Step-by-step explanation:

Sorry this isn't the answer, I could give it to you but I know a website that would help you better and I don't feel like opening my laptop but desmos would be great for this if you don't already use it

Step-by-step explanation:

But you put the (2,4) in a box and the (-6,5) in another box and the answer will be where they connect like in and x

Answer:

Choice D - 8cm and 9cm.

Explanation:

The other sides are not greater than 13.

A: 5 + 8 = 13

B: 6 + 7 = 13

C: 7 + 2 = 9

However, D is greater than 13 and is the correct answer.

D: 8 + 8 = 16.

Answer:

In my calculator it says 156

a. -282

Step-by-step explanation:

I just used a calculator haha

Answer:

from what i see i see thats its D

if not im sorry but i hope i got it right

Step-by-step explanation:

Strong, they are all close together and close to the line.

Answer:It looks like it would be strong Step-by-step explanation: They are close together.

Answer:

2(2x-1)/x(x-4)

Step-by-step explanation:

4x^2-14x+6/x^3-7x^2+12x

2(2x^2-7x+3)/x(x^2-7x+12)

2(2x^2-6x-x+3)/x(x^2-4x-3x+12)

2(x-3)(2x-1)/x(x-4)(x-3)

Answer:

I believe the answer is A.

Answer:

$9000

Step-by-step explanation:

I=?

p=$300

R=5*1/100

T=6

I=P*R*T

$300*5/100*6

=$9000

Answer:

A) 4 × 10^-2

B) 7.2 × 10^-2

C) 3.25 × 10^-5

D) 3 × 10^-3

E) 2.3 × 10^-1

Step-by-step explanation: