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3 years ago

Find four consecutive even integers with a sum of -52

Mathematics

2 answers:

Komok [63]3 years ago

7 0

Answer:

-16,-14,-12,-10

Step-by-step explanation:

Let the integers be x, x+2,x+4,x+6

ATQ,

x+x+2+x+4+x+6=-52

4x+12=-52

4x=-52-12

x=-64/4

x=-16

Amiraneli [1.4K]3 years ago

3 0

Step-by-step explanation: In this problem we have four consecutive even integers that have a sum of -52. Consecutive even integers can be represented as followed.

X

X + 2

X + 4

X + 6

Since the sum of these is -52, we can set up an equation to represent this.

X + X + 2 + X + 4 + X + 6 = -52

4x + 12 = -52

4x = -64

X = -16

X + 2 = -14

X + 4 = -12

X + 6 = -10

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lianna [129]

Answer:

x = 27, y = 74

Step-by-step explanation:

Hi again :)

Since the angles of 5x + 4 and the one adjacent to x = 14 are corresponding angles, they are equal. That means that (5x + 4) + (x + 14) = 180 degrees.

5x + 4 + x + 14 = 180

6x + 18 = 180

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Also, the angle (5x + 4) and (2y - 9) are vertical angles, they are equal in value. We know the value of x now, so we'll substitute that in and solve for y.

5(27) + 4 = 2y - 9

135 + 4 = 2y - 9

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As always, lmk if you have questions.

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