Which graph represents the linear function y=1/5x-2​

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:

0.67

Step-by-step explanation:

correct

Answer:

Using values of x=3 and x=-21 the result of AB and AC comes same.

Hope it helped

PLS mark BRAINLIEST

Answer:

x = 3

Step-by-step explanation:

Using the geometric mean for altitude:

x + 9 = √18 *  8 = √144,

x + 9 = 12,

x = 3

Solution: x = 3

'x' was calculated correct.

y = 180° - 78° = 102°

Answer:

102

so, 180- 78 = 102 degrees.

Answer:

1st most = 8.43 inches

2nd most = 5,426 Seconds

3rd most = 1580 meters

4th most = 1500 grams

Step-by-step explanation:

8.43 inches = 0.7025 feet is most precise as it rounded to 0.7 feet it wouldn't be precise enough.

5,426 Seconds =  01:30:26. hrs mins sec can be converted.

1580 meters = 1.58 km = 158000cm  hasn't been properly converted as zeros get lost.

1500 grams = 1.5kg hasn't been precisely converted as zeros get lost.

Answer:

6

Step-by-step explanation:

First subtract the fixed fee. 59-5=54

Divide 54 by 9.  

6

Answer:

-18

Step-by-step explanation:

Answer:

−3x+6

Step-by-step explanation:

Answer:21

Step-by-step explanation:9+10=21

Answer:

ok nlol how u been

Step-by-step explanation:

Answer:

slope: -30x

rate of change: -30

Step-by-step explanation:

[tex] \frac{change \: in \: y}{change \: in \: x} [/tex]

[tex] \frac{ - 30}{1} [/tex]

slope = -30x

rate if change: -30

Answer:

$76

Step-by-step explanation:

You multiply 80*0.05

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the number of ounces of

A = x

B = y

A scientist has two solutions, which she has labeled Solution A and Solution Each contains salt. She knows that Solution A is 40% salt and Solution B is 55% salt. She wants to obtain 90 ounces of a mixture that is 45% salt. How many ounces of each solution should she use?

Our system of equations is given as

x + y = 90.... Equation 1

x = 90 - y

40% × x + 55% × y = 45% × 90 ounces

0.4x + 0.55y = 40.5....Equation 2

We substitute 90 - y for x in Equation 2

Answer:

domain is always the x values and y values are the range of x.

It's option A

Answer:

1/3

Step-by-step explanation:

if all the boys drank out of the jug than the fraction would be 1/3

1/3+1/3+1/3=1

Answer: DM, M, CM

Step-by-step explanation:

Answer:

Meters

Step-by-step explanation:

Meters are 100 times bigger than centimeters and 1000 times larger than a millimeter.

Answer:

The graph shows a relation and a function

Step-by-step explanation:

Because there is one value of y for every value of x, this is a relation and a function.

Answer:

relation because the x does not repeat

Answer:

85 cards

Step-by-step explanation:

Answer:

-112x-168y, 6(6a-1).

Step-by-step explanation:

-14(8x+12y)

-112x-168y

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

36a-6

6(6a-1)

Answer:

9

Step-by-step explanation:

Use exponential rules: add the exponents when multiplying, subtract the exponents when dividing.

Answer:

3^9

Step-by-step explanation:

- Rewrite the division as a fraction. 3^8x3^3/3^2

- Multiply

3^8 by 3^3 by adding the exponents.

3^11/3^2

- Cancel the common factor of 3^11 and 3^2

3^9

Answer:

Step-by-step explanation:

The pentagon faces are made up of five triangle each with 9 ft bases and 6.2 ft heights. And there are five rectangular sides of 9 by 5 feet. So the total surface area is

A=2*5*9*6.2/2+5*9*5

A=279+225

A=504 ft^2

Answer:

Formula: nl(b + h) it is derived as well

504 ft²

Step-by-step explanation:

Each vertical face is a rectangle.

Area of each face = length x breadth = lb

For n-sided polygon, area of vertical faces = n x lb = nlb

For horizontal faces:

Observe: you can actually divide that face in 5 right-angled triangle(two edge point & centre form right angled ∆). [For n-sided, that's n right angled ∆]

For 2 such faces, you have 2 x n times of area of 1 ∆.

Area of 2n∆ = 2n( ½ x h x base(length)) = nhl

Total area = area of horizontal surfaces + area of vertical surfaces

Total area = nlb + nhl = nl(b + h)

Total area = 5*9(5 + 6.2) = 504 ft²

Answer:

38.21 in

Step-by-step explanation:

Given data

C= 120meters

We also know that circumference

C=2πr

Substitute

120=2*3.142*r

120= 6.28r

r= 120/6.28

r= 19.10 m

Hence the diamter D

D= r*2

D= 38.21 in

Answer:

1 2 1

Step-by-step explanation:

A B A

Answer:

He did not square 40, he just multiplied by 2

Answer 41 centimeters.

Step-by-step explanation:

C²=40²+9²

C²=1600+81

C²=1681

√c²=√1681

C=41cm

Answer:

the answer is A

Step-by-step explanation:

edg

Answer:

50 :)

Step-by-step explanation:

Answer:

50

Step-by-step explanation: