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svetoff [14.1K]
3 years ago
5

Given ABCD, solve for x.

Mathematics
2 answers:
eduard3 years ago
8 0

Answer:

x=1

Step-by-step explanation:

Given is a picture of a parallelogram ABCD

As per properties of parallelograms opposite sides are parallel and equal.

Two opposite sides are given as 12.

But another pair is given in terms of x as 16+2x and 10+8x

Since opposite sides would be parallel we have

16+2x =10+8x

Simplify to get

6x =6

or x=1

Verify:

The top side = 16+2x =18

The bottom side 10+8x = 10+8 =18

Thus both are equal, thus verified

Monica [59]3 years ago
7 0

This shape is a parallelogram and the opposite  sides of a parallelogram

 are of equal length.


10 + 8x = 16 + 2x ⇔ 8x - 2x = 16 - 10 ⇔ 6x = 6 ⇔ x = 6:6 ⇔ x = 1


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An odd number between 301 and 370 has three different digits. If the sum of its digits is five times the hundreds digit, find th
damaskus [11]
For the answer to the question above, <span> 
5x3 (the hundreds digit)= 15
so 3+x+y=15. 15-3=12. x+y=12.
No even number + odd number can be = 12, so both digits must be odd.
That leaves us with 3+3+z=15, 3+3+x =15 and 3+5+y= 15. 3+1+9 (highest odd digit)= 13 so that is wrong.
3+3+9= 15, but there is a double digit, so wrong again. 3+5+7=15. 357 is the answer.</span>
5 0
3 years ago
Simplify the following expression.
levacccp [35]
51x+83y-14x-25y=37x+58y
4 0
3 years ago
Can someone help me solve this?
Dovator [93]

Answer:

5 felt pads.

7 cards.

Step-by-step explanation:

Remark

  • The total number of items is 12
  • So let the felt sheets be x
  • Let the cards = y

Equations and Solution

x + y = 12

Now the price is 7.75 that she has to pay for the 12 items. She wants to come back with 0 dollars.

0.5x + 0.75y = 7.75             Multiply this equation by 2

x + 1.5y = 15.50                    write the first equation underneath and subtract.

<u>x +    y =   12</u>

      .5y =  3                          Divide by 0.5

y = 3/0.5

y = 7

So she can get 7 cards.

x + y = 12

x + 7 = 12

x = 12 - 7

x = 5

So she can buy 5 felt pads.

8 0
2 years ago
PLEASE HELP ME ASAP SOMEONE
Eduardwww [97]

Answer:

E (3,-1)   D (-2, -2)   G (-1, 3)    F (3, 2)

Step-by-step explanation:

90 degrees = (y, -x)

that means you take the ordered pair you want to rotate and plug the x and y into the new spots.  

for example, point E is at (1,3) so the point rotated 90 degrees is (3,-1)

8 0
2 years ago
La siguiente tabla presenta las frecuencias absolutas y relativas de las distintas caras de un dado cuando se simulan 300 lanzam
noname [10]

La opinión correcta es la de Camila que argumenta que la frecuencia relativa de la cara con el #6 será un valor cercano a 0,166.

<h3>Qué es la frecuencia relativa?</h3>

La frecuencia relativa es un término matemático que se utiliza en la estadística para referirse al número de veces que un evento se repite durante un experimento.

Por otra parte, es necesario aclara que la frecuencia relativa no se modifica en gran medida si se aumenta el número de veces de una prueba, debido a que la probabilidad de ocurrencia de este evento va a ser la misma.

De acuerdo a lo anterior, Camila tiene razón debido a que considera que el valor de la frecuencia relativa no se modifica en gran medida entre 300 o 600 lanzamientos de los dados.

Nota: Esta pregunta está incompleta porque no está la tabla. No obstante, la puedo responder basado en mi conocimiento previo.

Aprenda más sobre probabilidad en: brainly.com/question/16019390

6 0
2 years ago
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