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Evgen [1.6K]
2 years ago
12

Shape 1 and shape 2 are plotted on a coordinate plane. Which statement about the shapes is true?

Mathematics
2 answers:
Dima020 [189]2 years ago
7 0
We can see that shape 2 has longer "stick" sorta say. we can see that stick on shape 1 is 2 units high (from 4 to 6) while stick on shape 2 is nearly 4 units high.

The "bulb" part of both shapes are congruent but because of their extensions they arent. Shapes dont have to be in same spot to be congruent. which is why second option isn't correct

Answer is last option
djyliett [7]2 years ago
4 0

Solution:

As, you can see that shape 1 and shape 2 are not congruent nor the shape 1 is dilated by any factor to get the shape 2.

Both the shapes are concave polygon.

The base length of two shapes are equal .

→2 ×  AB  =  P Q  →(approx)

→BC=QR

→2 × CD= RS→→→(approx)

If translation has taken place, all the vertices has been translated by same amount.

So, option (4) is true,which is Shape 1 is not congruent to shape 2 because a sequence of rigid transformations will not map shape 1 onto shape 2."

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If 265 identical boxes, each containing 24 books weigh a total of 12,720 pounds, how much does each book weigh?
ivann1987 [24]
Each book ways 2 pounds


please like and rate
3 0
2 years ago
Read 2 more answers
Al obtener el valor de lo que costará la fiesta de graduación para tu grupo te das cuenta que el lugar que decidieron alquilar p
dybincka [34]

Explicación paso a paso:

Debemos buscar el costo de cada boleto y la cantidad de personas que deben ir.

Dada la función que da forma al comportamiento expresado como;

f (x) = (-2x) ^ 2 + 80x + 300 donde;

x es el costo de cada boleto

f (x) es el número de personas que deben ir

Para obtener x, usaremos la expresión;

x = -b / 2a

De la ecuación cuadrática dada, a = -2, b = 80 yc = 300

Sustituir;

x = -80/2 (-2)

x = -80 / -4

x = 80/4

x = 20

Por lo tanto, el boleto cuesta $ 20.

Lo siguiente es obtener la cantidad de personas que deben ir. Para conseguirlo, sustituiremos x = 20 en la expresión modelada como se muestra;

f (x) = (-2x) ^ 2 + 80x + 300

f (20) = (-2 (20)) ^ 2 + 80 (20) +300

f (20) = (-40) ^ 2 + 1600 + 300

f (20) = 1600 + 1600 + 300

f (20) = 3500

Por lo tanto, 3500 personas tienen que ir

8 0
2 years ago
Amanda is placing an order for running shoes and leather boots for her footwear boutique. She needs a total of 48 pairs of shoes
Basile [38]

Constraint 1:

Let the total number of running shoes be = R

Let the total number of leather boots be = L

As the given number of total shoes are 48,

The equations becomes,

R + L = 48............(1)

Constraint 2:

As running shoes are twice the leather boots, equation becomes,

R = 2L..............(2)

Putting the value of R from equation(2) in equation (1)

2L+ L=48

3L=48

L=16

Now putting the value of L in equation(2)

R= 2L

R = 2*16

R=32

Hence, Amanda needs 16 pairs of leather boots and 32 pairs of running shoes.

4 0
2 years ago
Jude says that the volume of a square pyramid with base edges of 7 in and a height of 7 in is equal to the volume of a cylinder
irakobra [83]

Answer:

Jude is not correct

Step-by-step explanation:

The volume of a square pyramid is given as:

V = a^2\frac{h}{3}

where a = base edge and h = height

Hence, the volume of the square pyramid with base edge of 7 in and height  of 7 in is:

V = 7^2*\frac{7}{3}

V = 114.3 in^3 ≅ 114 in^3

The volume of a cylinder is given as:

V = \pi r^2h

where r = radius and h = height

Hence, the volume of a cylinder with radius of 7 in and height of 7 in is:

V = \pi *7^2*7

V = 1077.57 in^3 ≅ 1078 in^3

Since their volumes are not equal, Jude is not correct.

8 0
2 years ago
Find the exact value of cos A in simplest radical form?​
Mamont248 [21]

Answer:

cosA = 7/8

Step-by-step explanation:

cos∅ = adjacent over hypotenuse

cosA = 14/16

cosA = 7/8

3 0
2 years ago
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