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Burka [1]
3 years ago
5

The product of three consecutive numbers is divisible by ​

Mathematics
1 answer:
Nataliya [291]3 years ago
3 0

Answer:

6

Step-by-step explanation:

The product of three consecutive numbers is divisible by ​6

Let us say the numbers are x, x+1 , x+2

if x = 1,

Product of the three consecutive numbers,

(1)(2)(3)

=> 6, which is divisible by 6

if x = 2,

Product of the three consecutive numbers,

(2)(3)(4)

=> 24, which is divisible by 6

Similarly if we take any 3 consecutive numbers their product will be divisible by 6.

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Brian spent a total of $149.97 on three video games. If each game cost the same
exis [7]
3x = 149.97
x = 49.99
each game was 49.99
3 0
3 years ago
For 5 points and brainliest to the best correct answer, find the missing measures.<br> Thank you
zzz [600]

Answer:

  • x = 7
  • y = 97°
  • z = 19

Step-by-step explanation:

The markings on the figure show this to be a parallelogram. That means opposite sides are congruent. Because the sides are parallel, "alternate interior" angles are also congruent.

__

Angle y forms a linear pair with the one marked 83°, so is supplementary to it:

  y = 180°-83° = 97°

__

The angle marked y is an exterior angle to the triangle containing the angle marked (7x -5)°. As such, it is equal to the sum of the remote interior angles, the one marked (7x -5)° and the unmarked one that is congruent to (3x +32)°.

  (7x -5) +(3x +32) = 97 . . . . . angle relations in the left-side triangle

  10x +27 = 97 . . . . . . . collect terms

  10x = 70 . . . . . . . . subtract 27

 x = 7 . . . . . . . . divide by 10

__

The side marked Z is congruent to the opposite parallel side, so ...

  z = 19

__

The missing measures are ...

  • x = 7
  • y = 97°
  • z = 19

_____

<em>Additional comment</em>

You can also find the value of y by adding up the interior angles of the right-side triangle. The one not shown there is "alternate interior" to the one marked (7x -5)°, hence has the same measure. This gives ...

  (7x -5) +(3x +32) +83 = 180

Subtracting 83° from both sides gives the equation we used above.

4 0
3 years ago
PLEASE HELP IM BEGGING Ira B. Scholar, that bizarre math teacher, put the figure at right on a recent test and said,
rewona [7]

Answer:

The perimeter is the distance all the way around the outside of a 2D shape.  To calculate the perimeter, sum the lengths of all the sides.

Therefore, perimeter of the triangle = (2x - 8) + (2x + 5) + (30 - 3x)

Collect like terms:  2x + 2x - 3x - 8 + 5 + 30

Combine like terms:  x + 27

Therefore, perimeter of triangle = x + 27

We are told that the perimeter is 25:

x + 27 = 25

Subtract 27 from both sides: x = -2

If x = -2, then the side with equation 2x - 8 = (2 x -2) - 8 = -12

A length cannot be negative, therefore the perimeter cannot equal 25.

7 0
3 years ago
If &lt;4=&lt;6 then ____=____​
Aleonysh [2.5K]

Answer: #2 CD=CA

Step-by-step explanation:

So sorry if wrong but i think it may be right.

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4 0
3 years ago
Determine the intercepts of the line. 4x-1=3y+54x−1=3y+54, x, minus, 1, equals, 3, y, plus, 5 xxx-intercept: \Big((left parenthe
earnstyle [38]

Answer:

The intercepts (x,y) = (\frac{3}{2},-2)

Step-by-step explanation:

Given:

4x-1=3y+5

Required

Determine the intercepts

The equation is a linear equation and the intercepts of the equation is calculated as thus;

For x intercepts; substitute 0 for y

4x-1=3y+5

4x-1=3(0)+5

4x-1=0 + 5

4x-1=5

Add 1 to both sides

4x-1 + 1=5 + 1

4x = 6

Divide both sides by 4

\frac{4x}{4} = \frac{6}{4}

x = \frac{6}{4}

Simplify fraction to lowest term

x = \frac{3}{2}

For y intercept, substitute 0 for x

4x-1=3y+5

4(0)-1=3y+5

0 - 1 = 3y + 5

-1 = 3y + 5

Subtract 5 from both sides

-5 - 1 = 3y + 5 - 5

-6 = 3y

Divide both sides by 3

\frac{-6}{3} = \frac{3y}{3}

-2 = y

Reorder

y = -2

Hence, the intercepts (x,y) = (\frac{3}{2},-2)

8 0
3 years ago
Read 2 more answers
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