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MrRissso [65]
3 years ago
9

This equation needs to be solved

Mathematics
2 answers:
ella [17]3 years ago
6 0
-28n - 4 + 2n - 8 = 66

-26n - 12 = 66

-26n = 78

n = -3
velikii [3]3 years ago
3 0

66 = -4(7n + 1) + 2(n - 4)

  • Distribute -4 inside the parentheses.

66 = -28n - 4 + 2(n - 4)

  • Distribute 2 inside the parentheses.

66 = -28n - 4 + 2n - 8

  • Combine like terms.

66 = -26n - 12

  • Add 12 to both sides.

78 = -26n

  • Divide both sides by -26.

n = -3

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A furniture maker is building a bookshelf she needs to cut rectangular pieces of wood to a length of 5/12 foot and a width of 2/
jok3333 [9.3K]
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13. If l is parallel to m, find the values of x and y.
Delicious77 [7]

Answer: 14. x = 16; y = 23

15. x = 9; y = 13

Step-by-step explanation:

14. (4x + 4) = (7x - 44) (alternate exterior angles are congruent)

4x + 4 = 7x - 44

Collect like terms

4x - 7x = -4 - 44

-3x = -48

Divide both sides by -3

x = -48/-3

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39° + (8y - 43)° = 180° (consecutive exterior angles are supplementary)

39 + 8y - 43 = 180

Add like terms

-4 + 8y = 180

Add 4 to both sides

8y = 180 + 4

8y = 184

Divide both sides by 8

y = 184/8

y = 23

15. (15x - 26)° = (12x + 1)° (alternate exterior angles are congruent)

15x - 26 = 12x + 1

Collect like terms

15x - 12x = 26 + 1

3x = 27

Divide both sides by 3

x = 27/3

x = 9

28° + (12x + 1)° + (4y - 9)° = 180° (sum of interior angles of ∆)

Plug in the value of x

28 + 12(9) + 1 + 4y - 9 = 180

28 + 108 + 1 + 4y - 9 = 180

Add like terms

128 + 4y = 180

Subtract 128 from each side of the equation

4y = 180 - 128

4y = 52

Divide both sides by 4

y = 52/4

y = 13

Both answer and explantion.

6 0
3 years ago
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