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Alik [6]
3 years ago
7

13. If l is parallel to m, find the values of x and y.

Mathematics
1 answer:
Delicious77 [7]3 years ago
6 0

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

x = 16

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.

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Answer:

B

Step-by-step explanation:

First, subtract 3 by the numbers

-8 > 4x > 4

Remember to flip the inequality signs

Second, divide all the numbers by 4

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Flip the inequality signs again

-2 > x > 1

I am not very experienced with these problems so I might be wrong.

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Step-by-step explanation:

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nadya68 [22]

Answer:

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Step-by-step explanation:

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Which algebraic expression represents one less than the Product of a number y and 7
miss Akunina [59]

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3 0
3 years ago
Jessica is making cookies and brownies for a bake sale. Her recipe for cookies calls for 1 egg per batch, and her recipe for bro
skelet666 [1.2K]

Answer:

Number of batches of cookies = 4

Number of batches of brownies = 7

Step-by-step explanation:

Let the number of batches of cookies she made = x

And the number of batches of brownies = y

Total number of batches she made = 11

So the equation representing batches will be,

x + y = 11 ---------(1)

Her recipe for cookies calls for eggs = 1 per batch

So eggs required for x batches of cookies = 1 × x = x

Similarly, her recipe for brownies calls for eggs = 2 per batch

So, eggs required for y batches of brownies = 2y

Total number of eggs required = 18

Therefore, equation will be,

x + 2y = 18 ---------- (2)

Equation (2) minus equation (1)

(x + 2y) - (x + y) = 18 - 11

y = 7

From equation (1),

x + 7 = 11

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Therefore, number of batches of cookies and brownies she made were 4 and 7.

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3 years ago
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