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Dovator [93]
3 years ago
15

find four consecutive even integers such that the sum of the third and fourth is 6 less than four times the first​

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
5 0

Answer:

The numbers are 2, 4, 6 and 8

Step-by-step explanation:

let the four numbers be x, y, z and l respectively

then:

x+y+z+l

(z+l)–6=4x

since they are all four consecutive even integers

then y=x+2

z=y+2=x+4

l=z+2=x+6

since (z+l)–6=4x

then ((x+4)+(x+6))–6=4x

2x+4=4x

4=4x–2x

4=2x

2=x

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The sum of the angle measures of the polygon is 540°. Write and solve an equation to find the value of x.
nikklg [1K]

Answer:

x = 23°

Step-by-step explanation:

Looking at the diagram above, we can see that it is Pentagon.

The sum of interior angles in a Pentagon (5 sides polygon) = 540°

This is because in a Pentagon, from the vertex we can draw 2 diagonals that would result in 3 triangles.

Sum of angles in a triangle = 180°

Hence, the sum of angles in a Pentagon = 3 × 180°

= 540°

Hence,

540° = 85° + 5x° + 5x° + 5x + 5° + 5x - 10°

540° = 85° + 5° - 10°+ 5x° + 5x° + 5x° + 5x°

540° = 80° + 20x°

540° - 80° = 20x°

460° = 20x°

x° = 460/20

x = 23°

Therefore, the value of x = 23°

6 0
3 years ago
Please answer with step by step instructions please and thank you
Sauron [17]

Answer: B. 1,995


Step-by-step explanation:

Convert hours to minutes

60+45= 105

Multiply

19*105= 1,995

SO, it's B. 1,995

7 0
3 years ago
There are 28 marbles in a bag. Each player uses 5 marbles to play a game.
Kitty [74]
3 is the correct answer.
6 0
4 years ago
A 450m long field is drawn to a scale 1cm to 90cm.find the lenth of drawing<br><br>​
irina1246 [14]

Answer:

500cm or 5 meters

Step-by-step explanation:

The ratio of drawing and field is 1:90.

So we have to make 450 m into cm.

450 -> is 45,000

Now we can make 2 fractions,

\frac{1}{90}=\frac{x}{45000}

Cross multiply

90*x = 90x

1*45000 = 45000

90x = 45000

Divide 90 to both sides

x = 500cm

<em>Thus,</em>

<em>the drawing's field is 500cm or 5m long.</em>

<em />

<em>Hope this helps :) </em>

5 0
3 years ago
What is the estimated sum of 3 16/17 plus 6 1/5?<br> The estimated sum is
weeeeeb [17]

Answer:

The estimated sum is ≈10

Step-by-step explanation:

This depends on how your professor wants you to estimate sums. Logically, though, a value of nearly 4 and a value of just over 6 add to about 10. The exact answer would be a bit over 10, at ≈10.14117

6 0
4 years ago
Read 2 more answers
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