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k0ka [10]
2 years ago
15

7x - 4 and 5x + 4 are the lengths of two of the sides of a rhombus. What is the value of x? If there is not enough information t

o find x, enter 999.​
Mathematics
2 answers:
kati45 [8]2 years ago
6 0

Answer:

x = 4

Step-by-step explanation:

7x - 4 = 5x + 4

7x-4-5x = 5x+4-5x

2x-4 = 4

2x-4+4 = 4 + 4

2x = 8

2x / 2 =  8/ 2

x = 4

Mariulka [41]2 years ago
4 0

Answer:

All the sides of a rhombus are equal and opposite sides parallel and equal.

Therefore by understanding the above we can deduce that:

7x - 4 = 5x + 4

7x - 4 + 4 - 5x = 5x + 4 + 4 - 5x (Separate all the terms with x to go to the other side of the equals sign and do the some for the constants).

7x - 5x + (4 - 4) = (5x - 5x) + 4 + 4

7x - 5x = 4 + 4

2x = 8

2x/2 = 8/2

x = 4

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aleksley [76]

Answer:

Sandy needs 14.13\ ft^{2} of carpet to build a scratching post for her cats

Step-by-step explanation:

Sandy needs to calculate the surface area of the cylinder

The surface area of the cylinder is equal to

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we have

r=1/2=0.5\ ft ----> the radius is half the diameter

h=4\ ft

assume

\pi =3.14

substitute the values  

SA=2(3.14)(0.5)^{2}+2(3.14)(0.5)(4)

SA=14.13\ ft^{2}

Sandy needs 14.13\ ft^{2} of carpet to build a scratching post for her cats

6 0
3 years ago
Zach is 23 years old. zach's age is 3 years older than twice maya's age. let m represent maya's age. which equation can be used
Anna71 [15]
Z = 23
z = 2m + 3

23 = 2m + 3 <==
6 0
3 years ago
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The moon has a radius of
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5 0
3 years ago
The product of two mixed numbers x and y is 10. If x= _ 2/3 and y=_ 3/4 ,<br> find x and y?
Akimi4 [234]

Answer:

  • x = 2 2/3
  • y = 3 3/4

Step-by-step explanation:

There may be other ways to do this. Here's the approach I took. Let the integer part of x be represented by "a", and the integer part of y be represented by "b". Now, we have ...

  (a +2/3)(b +3/4) = 10

Multiplying by 12, this becomes ...

  (3a +2)(4b +3) = 120

There are only 16 divisors of 120, so they can be easily enough checked one at a time.

  120 = 1·120 = 2·60 = 3·40 = 4·30 = 5·24 = 6·20 = 8·15 = 10·12

Of these divisors, the ones that are of the form 3a+2 are ...

  2, 5, 8, 20 . . . . a=0, 1, 2, 6

The ones that are of the form 4b+3 are ...

  3, 15 . . . . b = 0, 3

The factor pair that consists of a number on the first list and a number on the second list is ...

  120 = 8·15

corresponding to a=2 and b=3. So, the mixed numbers you want are ...

  x = 2 2/3

  y = 3 3/4

_____

<em>Check</em>

  (2 2/3)·(3 3/4) =2·3 +2·3/4 +2/3·3 +2/3·3/4 = 6 +6/4 +2 +2/4 = 8+8/4 = 10

6 0
3 years ago
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