Answer:
<h3>
10, 12 and 14</h3>
Step-by-step explanation:
x - an integer
2x - an even integer (the first and the smaller of the three)
Consecutive integers increase always by 2
2x+2 - next even integer consecutive to 2x (the middle one)
2x+2+2=2x+4 - the last consecutive even integer (the largest)
2•(2x+2) - twice the middle number
2x+2•(2x+2) - the sum of the smallest number and twice the middle one
2x+4+20 - 20 more than the largest number
2x+2•(2x+2) = 2x+4+20
2x + 4x + 4 = 2x + 24
-2x -2x
4x + 4 = 24
÷2 ÷2
2x + 2 = 12 ← the middle number
-2 -2
2x = 10 ← the smallest number
2x+4 = 10 + 4 = 14
Check: 10+2•12=<u>34</u>; 14+20=<u>34</u>
Answer:
each sister have watched 24 ep.
it will take 6 days
Answer:
Sandra will need 32 feet of fencing. This is because the shape of the garden is a square. The length is 8 ft, so the perimeter of the garden is 32.
Step-by-step explanation:
Answer:
x = 3
![LM = 26](https://tex.z-dn.net/?f=%20LM%20%3D%2026%20)
Step-by-step explanation:
Given:
![LM = 8x + 2](https://tex.z-dn.net/?f=%20LM%20%3D%208x%20%2B%202%20)
![MN = 10x - 4](https://tex.z-dn.net/?f=%20MN%20%3D%2010x%20-%204%20)
Required:
Value of x and length of segment LM
SOLUTION:
Since M is the midpoint of line segment LN, it implies that:
(substitution)
Combine like terms
Divide both sides by 2
![LM = 8x + 2](https://tex.z-dn.net/?f=%20LM%20%3D%208x%20%2B%202%20)
Plug in the value of x
![LM = 8(3) + 2](https://tex.z-dn.net/?f=%20LM%20%3D%208%283%29%20%2B%202%20)
![LM = 24 + 2](https://tex.z-dn.net/?f=%20LM%20%3D%2024%20%2B%202%20)
![LM = 26](https://tex.z-dn.net/?f=%20LM%20%3D%2026%20)