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sladkih [1.3K]
3 years ago
14

How can you show that the measures of the interior angles of a triangle is 180° given the line

Mathematics
1 answer:
Igoryamba3 years ago
8 0

Answer:

C

**************

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Two students solved the same multi-step equation. Which student is correct? Explain the error. Student A Student B 2x - 4(3x + 6
Gnom [1K]

Answer:

Student B is correct

Student A failed to distribute -4 and -6 when opening the brackets in the first step

Step-by-step explanation:

The solution Student A gave was:

2x - 4(3x + 6) = -6(2x + 1) - 4

2x - 12x + 6 = -12x + 1 - 4

-10x + 6 = -12x - 3

2x = -9

x = -4 _1 2 ( -4 1/2)

The solution Student B gave was:

2x - 4(3x + 6) = -6(2x + 1) - 4

2x - 12x - 24 = -12x - 6 - 4

-10x - 24 = -12x - 10

2x = 14

x = 7

Student B is correct.

Explanation of the error:

Student A failed to distribute -4 and -6 when opening the brackets in the first step.

That is,

2x - 4(3x + 6) = -6(2x + 1) - 4

To open this bracket, we will distribute, -4 and -6 so that we get

2x (-4 × 3x) + (-4 × +6) = (-6×2x) + (-6 × +1) - 4

Then we will get

2x -12x -24 = -12x -6 -4

Adding the like terms

-10x - 24 = -12x - 10

Collecting like terms

-10x + 12x = -10 + 24

∴ 2x = 14

x = 14 / 2

Hence,

x = 7

8 0
2 years ago
Flying against the wind, a jet travels 5760 miles in nine hours flying with the wind, the same jet travels 5000 miles in five ho
aalyn [17]

Answer:

Step-by-step explanation:

9h+5h(5h-5760)-2+12=y

7 0
2 years ago
1\100 of 3756 in dollars​
maksim [4K]

Answer: 37.56

What the fraction 1/100 is saying is it is dividing them 3756 by a 100.

3756/100= 37.56

3 0
3 years ago
Simplify (23)^–2 genuinely confused
statuscvo [17]

Answer:

1/529

Step-by-step explanation:

23^{-2}\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}\\23^{-2}=\frac{1}{23^2}\\\\23^2=529\\\\=\frac{1}{529}

7 0
3 years ago
URGENT 50 PTS
Len [333]
Point c

explanation:
6 0
2 years ago
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