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MaRussiya [10]
3 years ago
7

As shown in the image below, triangle ABC is reflected onto its image. А B с С" A Which of the following lines represents the li

ne of reflection that maps triangle ABC onto its image?​

Mathematics
1 answer:
dybincka [34]3 years ago
6 0

Answer:

Line of reflection will be y = -2

Step-by-step explanation:

From the picture attached,

Triangle ABC has been reflected over an unknown line so that the triangle ABC will overlap triangle A'B'C'.

To find the line of reflection,

Coordinates of point C → (7, 0)

Coordinates of point C' → (7, -4)

Line of reflection = line passing through midpoint of the line joining C and C'

Midpoint of the line joining points C and C' = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})

                                                                        = (\frac{7+7}{2},\frac{0-4}{2})

                                                                        = (7, -2)

Therefore, line of reflection is y = -2.

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11 weeks are required for Riley to work to save enough money to buy the new television

<h3><u>Solution:</u></h3>

Given that Riley needs a total of $1,049.77

Riley has saved $200.79 already and earns $77.18 per week at her job

To find: Number of weeks Riley need to work to save enough money to buy the new television

Remaining amount needed = $1,049.77 -  $200.79

Remaining amount needed = $ 848.98

Let "n" be the number of weeks Riley need to work to save enough money to buy the new television

Also she earns $77.18 per week at her job

1 week ⇒ $ 77.18

"n" weeks ⇒ $ 848.98

Therefore, by cross multiplication,

n \times 77.18 = 1 \times 848.98\\\\n = \frac{848.98}{77.18}\\\\n = 11

Therefore 11 weeks are required for her to work to save enough money to buy the new television

<h3><u>Method 2:</u></h3>

<em>Total amount = amount already saved + ($77.18 per week at her job)("n" weeks)</em>

1,049.77 = 200.79 + (77.18)(n)

1049.77 - 200.79 = 77.18n

848.98 = 77.18n

n = \frac{848.98}{77.18}

n = 11

Therefore 11 weeks are required for her to work to save enough money to buy the new television

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Step-by-step explanation:

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