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MAXImum [283]
3 years ago
14

Angles and transversals thank you

Mathematics
1 answer:
faltersainse [42]3 years ago
7 0

Answer:

#11-13: 118 , 97 , 62

#7-10: 92 , 125 , 56 , 130

Step-by-step explanation:

#11. Supplementary angles (A + B = 180)

  • (n + 7) + (3n - 47) = 180
  • n = 55
  • <ABC = 3(55) - 47 = 118 degrees

#12. Supplementary angles

  • 83 + x = 180
  • x = 97
  • <ABC = 97 degrees

#13. Congruent angles (A = B)

  • (8x - 34) = (5x +2)
  • x = 12
  • <DEF = 5 (12) + 2 = 62 degrees

#7. Congruent angles

  • (3x +23) = 4x
  • x = 23
  • <ABC = 4(23) = 92 degrees

#8. Congruent angles

  • 5x = (3x + 50)
  • x = 25
  • <MPQ = 3(25) + 50 = 125 degrees

#9. Congruent angles

  • (a + 28) = 2a
  • a = 28
  • <MNP = (28) + 28 = 56 degrees

#10. Congruent angles

  • 5y = (2y + 78)
  • y = 26
  • <WXZ = 5(26) = 130 degrees

I hope this helps!

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The graph of y = x^3 is transformed as shown in the graph below. Which equation represents the transformed function?
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Answer:

y = -6 * x^3

Step-by-step explanation:

We can model the new function as:

f(x) = ax^3

the function y = x^3 have positive values of y for positive values of x, and negative values of y for negative values of x.

As the negative values of x have positive values of y and vice-versa, the first change is to put a negative sign in front of x^3, so we know that 'a' is negative.

Then, for x=1 we have y = -6, so:

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a = -6

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y = -6 * x^3

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Sue buys 5 pieces of fabric.Each piece is 1 7/10 yards long.What is the total length of the fabric she buys?One yard of the fabr
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Answer:

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2. $42.5

Step-by-step explanation:  

We have been given that Sue buys 5 pieces of fabric. Each piece is 1\frac{7}{10} yards long.

1. To find the total length of fabric bought by Sue we will multiply length of each fabric piece by 5.

\text{Total length of the fabric}=5\times 1\frac{7}{10}\text{ yards}

\text{Total length of the fabric}=5\times \frac{17}{10}\text{ yards}

\text{Total length of the fabric}=\frac{17}{2}\text{ yards}

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Therefore, Sue bought 8.5 yards of fabric.

2. 1 yard of fabric costs $5.

So 8.5 yards of fabric will cost : 5*8.5

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\text{Total cost of the fabric}=42.5

Therefore, the cost of total fabric bought by Sue is $42.5.

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