A city garden club is planting a square garden. They drive pegs into the ground at each corner and tie strings between each pair. The pegs are spaced so that WX ≅ XY ≅ YZ ≅ ZW . How can the garden club use the diagonal strings to verify that the garden is a square? Complete the explanation.

e23

Because both pairs of opposite sides of the quadrilateral garden are congruent, the garden is a parallelogram. The garden is a
(select)
, because all four sides are congruent. If it can be proven that it is also a
(select)
, then the garden is a square. So, if the diagonals
(select)
, then the garden is a square. The club members can measure the lengths of the diagonals.

Answer:

[tex]21y^{3} - 4y^{2} + 11y[/tex]

Step-by-step explanation:

[tex]11y + 7y(3)y^{2} - 4y^{2}[/tex]

=11y + 21y^3 +-4y^2

[tex]=21y^{3}-4y^{2}+11y[/tex]

Answer:

2

Step-by-step explanation:

Since in this case they aren't going to cut up the fruit, you find how many times 3 will go into 11 evenly.  3x3=9 which is the largest multiple of 3 that will fit into 11.  11 pieces subtract 9 pieces given to children = 2 pieces left.  Hopefully this helps.  

Since the sides are different hence the value of y has no solution

Given the equation 0.5y-2 2/5=1/2y+2.4

This can be further expressed as:

Collect the like terms

0.5y - 0.5 y = 2.4 + 2.4

0y = 4.8

Since the sides are different hence the value of y has no solution

Learn more on equations here: https://brainly.com/question/22688504

Answer:

Perimeter of the rectangle =  32 cm

Step-by-step explanation:

Explanation:-

Let the height of the rectangle = 'x' cm

Thus the length of the rectangle = x + 4 cm

Perimeter of the rectangle = 2 ( length + height )

Area of the rectangle = length X height

Given area of the rectangle = 60 cm²

( length X height ) = 60

( x + 4) x  =60

 x² + 4 x - 60 =0

 x² + 10 x- 6 x - 60 =0

x ( x+10) - 6 ( x + 10 ) =0

(x+10) ( x -6 ) = 0

x = -10  and x =6

we can choose x =6

The height of the rectangle(H) = 'x' = 6 cm

The length of the rectangle (L)= 6 + 4 = 10cm

Perimeter of the rectangle = 2 ( length + height )

                                           = 2 ( 10 + 6 )

                                          = 32 cm

∴ Perimeter of the rectangle = 32 cm

Answer:

32 cm

Step-by-step explanation:

height = x

length = x+4

x(x+4)=60

x^2 +4x=60

make it into quadratic formula

x^2 + 4x - 60 =0

a=1

b=-4

c=-60

4^2-4*1*(-66)

discriminant equals to 256

square root of 256 equals to 16

x=-4+16/2 = 6

x=-4-16/2 = -10

we will use 6

length is x+4 so 6+4 = 10

width is x = 6

10 plus 10 = 20

6 plus 6= 12

20+12=32 cm

Answer:

I got u covered and i will still roast u in the comments imma good roaster to!

Step-by-step explanation:

You’re the reason God created the middle finger.

You’re a grey sprinkle on a rainbow cupcake.

If your brain was dynamite, there wouldn’t be enough to blow your hat off.

You are more disappointing than an unsalted pretzel.

Light travels faster than sound which is why you seemed bright until you spoke.

You r is so annoying, you make your Happy Meal cry.

You have so many gaps in your teeth it looks like your tongue is in jail.

Your secrets are always safe with me. I never even listen when you tell me them.

I’ll never forget the first time we met. But I’ll keep trying.

Answer: Your so fat you can’t even stand up, if you tried you’d burst like a ballon!

Step-by-step explanation:lol

Given:

The graph of a downward parabola.

To find:

The domain and range of the graph.

Solution:

Domain is the set of x-values or input values and range is the set of y-values or output values.

The graph represents a downward parabola and domain of a downward parabola is always the set of real numbers because they are defined for all real values of x.

Domain = R

Domain = (-∞,∞)

The maximum point of a downward parabola is the vertex. The range of the downward parabola is always the set of all real number which are less than or equal to the y-coordinate of the vertex.

From the graph it is clear that the vertex of the parabola is at point (5,-4). So, value of function cannot be greater than -4.

Range = All real numbers less than or equal to -4.

Range =  (-∞,-4]

Therefore, the domain of the graph is (-∞,∞) and the range of the graph is (-∞,-4].

Answer:

≈ 10 month

Step-by-step explanation:

50m-38600 = 40600-150m

200m = 2000

m = 10

Answer:

48 N

Step-by-step explanation:

The equation for force is

F = m * a

where F is force, m is mass, and a is acceleration

30N = m * 5m/s²

m = 6 kg

F = 6kg * 8m/s² = 48 N

Answer:

the value of y = 160

Step-by-step explanation:

exterior angle=sum of two opposite interior angle

y=(180-50)+30

y=160

Answer:

side of black is 7

side of green is 14

Dilation scale factor is 2

hope this helps :)

please mark branliest

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

To find the scale factor of a dilation, we first have to find two corresponding sides. For example, the top edge of the black shape corresponds with the top edge of the green shape. The length on the black shape measures 7 units and the length on the green shape measures 14 units.

Now, we divide the length taken from the figure by the length taken from the original shape.

14/7=2

Therefore, the scale factor of the dilation is 2.

I hope this helps!

Answer:

$232

Step-by-step explanation:

Answer:

subtraction, n - 13 is 29, subtract, different numbers, 42.

Answer:

The number is 42

Step-by-step explanation:

Let the number be [tex]x[/tex]

According to the problem,

   [tex]x - 13 = 29[/tex]

⇒ [tex]x = 29 + 13[/tex]

⇒ [tex]x = 42[/tex]

Hence, the number is 42.

Answer: y>~ 570-3.25x/ 7.50

y>~ -13/30x

x>~30

Step-by-step explanation:

The solution to the inequality in the graph has been shown.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
According to the question,
x + y ≤ 120
x = 120 - y,

x ≥ 30
Or
3.25x+ 7.50 ≥570

Thus, the solution to the inequality in the graph has been shown.

Learn more about inequality here:

brainly.com/question/14098842

#SPJ2

Answer:

x=-3

Step-by-step explanation:

We move all terms to the left:

7+2x/3-(5)=0

We add all the numbers together, and all the variables

2x/3+2=0

We multiply all the terms by the denominator

2x+2*3=0

We add all the numbers together, and all the variables

2x+6=0

We move all terms containing x to the left, all other terms to the right

2x=-6

x=-6/2

x=-3

Answer:

plz follow and thanks me

Step-by-step explanation:

Let (a,b) be the coordinates of the foot of the perpendicular from the point (−1,3) to the line 3x−4y−16=0

Slope of the line joining (−1,3) and (a,b), is m

1

=

a+1

b−3

Slope of the line 3x−4y−16=0 or y=

4

3

x−4,m

2

=

4

3

Since these two lines are perpendicular,m

1

m

2

=−1

∴{

a+1

b−3

}⋅{

4

3

}=−1

⇒

4a+4

3b−9

=−1

⇒3b−9=4a−4

⇒4a+3b=5...(1)

Point(a,b) lies on line 3x−4y=16

∴3a−4b=16....(2)

On solving equation (1) and (2) we obtain

a=

25

68

and b=−

25

49

Thus, the required coordinates of the foot of the perpendicular are {

25

68

,

25

49

}

Answer:

[tex]4x^2+\dfrac{7}{2}[/tex]

Step-by-step explanation:

The given expression is :

[tex]4x^2+\dfrac{6x}{4x}+2[/tex]

We need to find the equivalent expression for the above.

As, 6x/4x = 3/2

[tex]4x^2+\dfrac{6x}{4x}+2=4x^2+\dfrac{3}{2}+2\\\\=4x^2+\dfrac{7}{2}[/tex]

Hence, the equivalent expression is [tex]4x^2+\dfrac{7}{2}[/tex].

Answer:

The missing angle B:

Step-by-step explanation:

Given the angles

A = 100⁰

C = 55⁰

B = ?

We know that the sum of the angles of triangles is 180⁰.

so

A + B + C = 180⁰

100⁰ + B + 55⁰ = 180⁰

B =  180⁰ - 55⁰ - 100⁰

B =  25⁰

Therefore, the missing angle B:

m∠B = 25⁰

y = 5x - 2

graph:

(attached)

Answer:

x=- 31/2 or -15 1/2 or -15.5

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

Answer:

12.5%

Step-by-step explanation:

[First Value – Second Value] ÷ [(First Value + Second Value) ÷ 2] × 100

[50 - 30] ÷ [ 50 + 30] ÷ 2 × 100

20 ÷ 80 ÷ 2 × 100

0.25 ÷ 2 × 100

0.125 × 100

12.5 %

Answer:

12.5%

!!!!!!!!

Answer:

bcef

Step-by-step explanation:

Answer:

2nd option because the number next to the x is the slope (3) and the added number is your intercept (4)

Step-by-step explanation:

answer:

the secound one :)

Answer:

Step-by-step explanation:

top right is nonlinnear

Answer:

Bottom left

Step-by-step explanation:

All tables follow linear pattern except the last step in the bottom left table

x increases by 1 but y increases by 3

a change from the previous 1 to 1 increase

Answer:

a corresponding side is a pair of matching sides that are in the same spot of two different shapes. The shapes must be either congruent or similar.

Step-by-step explanation:

Step-by-step explanation:

(72)¹⁴³ ≡ x (mod 7)

Since 72 ≡ 2 (mod 7),

72³ ≡ 2³ (mod 7) ≡ 1 (mod 7).

Therefore (72)¹⁴³ = (72³)⁴⁷ * (72²)

≡ 1⁴⁷ * 4 (mod 7) ≡ 4 (mod 7).

The answer is A.

Answer:

760

Step-by-step explanation:

Answer:

760

Step-by-step explanation:

I checked using a calculator

Answer:

AAA postulate

Step-by-step explanation:

because similar triangle only have the axiom of angle not side...i mean i guesss if im wrong sorry but still thanks for the points

Answer:

sas

Step-by-step explanation:

the answer is just sas i took the assignment

Answer:

is a mathematics problem and is so easy and square and triangle and rectangle and circle formulas

Step-by-step explanation:

√(a - r) + m = y

√(a - r) = y - m

(a - r) = (y - m)²

a = (y - m)² + r

a = y² - 2my + m² + r.

The answer is the 2nd option.