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denpristay [2]
2 years ago
6

If x is a prime number, what is the value of x? (1) 2 x + 2 is the cube of a positive integer. (2) The average of any x consecut

ive integers is an integer.
Mathematics
1 answer:
Triss [41]2 years ago
6 0

Answer: what is the value of x? The answer is 3.

Step-by-step explanation:

2x + 2 = y^3 where y is a positive integer. One possible answer for this is 3, because 2*3 + 2 is 8, that is 2^3, so 2 * 2 * 2 = 8. Also the second restrictions says that x consecutive numbers added and then divided by x will give an integer. So 2 + 3 + 4 = 9 and 9/3 = 3, that is an integer, and we have 3 consecutive numbers, therefore the answer is 3, as 3 is prime as well.

You might be interested in
What's the numerator for the following rational<br> expression?<br> X/y + 3/y= ?/y
Fittoniya [83]

Answer:

x + 3

Step-by-step explanation:

Since we have a common denominator, we can just simply combine the numerator which is just x+3.

7 0
3 years ago
I need helpppp:( like im failing this class
Olin [163]

Answer:

dont even stress i gotchu

It's 50*, 46* and 84*.

Ratio of the second problem is 1:1 they both have a slope of 1 (which is probably why all three points are on the same line)

Step-by-step explanation:

Since we know that the straight/flat angle would equal 180* we will set the total of all those angles to 180*

We will add them up to find x. Once we find x we can find the value of each angle.

6x-10 + 4x + 6 + 7x  + 14 = 180

We will combine like terms and solve for x.

17x+10 = 180

17x = 170

x = 10.

Since we have x = 10, we will plug it into x of each angle to get the value of each angle.

6(10) -10 = 60-10 which equals 50*

4(10) + 6 = 40+6 which equals 46*

7(10) + 14 = 70 + 14 which equals 84*.

8 0
3 years ago
Does anyone know how to get the answer for this?
klasskru [66]
B!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

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7 0
2 years ago
Please help me!!
ipn [44]

{\color{chartreuse}{Measure\:of\: ∠\:on\: one\: side\:of\:line\:=\:180°}}

∠ Given are (x + 18)° , x° , 4x° and one Angle is 90° as per diagram

Let ,

1st∠ = (x + 18)°

2nd∠ = x°

3rd∠ = 4x°

so ,

⟶\:(x \:+\: 18)°\:+\:x°\:+\: 4x°\:+\:90°\:=\:180°

⟶\:6x°\:+ \:18°\:+\:90°\:=\:180°

⟶\:6x°\:+ \:108°\:=\:180°

⟶\:6x°\:=\:180°\:-\:108°

⟶\:6x\:=\:72°

⟶\:x\:=\:\frac{72}{6} \\

⟶\:x\:=\:12°

substituting x = 12 at the place of x .

= x° + 18°

= 12° + 18 °

1st∠ = 30°

__________________________________

= x°

2nd∠ = 12°

__________________________________

= 4x°

= 4(12)°

3rd∠ = 48°

7 0
2 years ago
According to these three facts, which statements are true?
Norma-Jean [14]
Sinuar and radius of 16 are true
8 0
3 years ago
Read 2 more answers
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