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svetlana [45]
2 years ago
7

Help help help timed exam please

Mathematics
1 answer:
LUCKY_DIMON [66]2 years ago
5 0

Answer:

The correct option is the second option;

a. Division property of equality

b. Symmetric property of congruency

c. Multiplication property of equality

Step-by-step explanation:

a. For the equation in part a., we have;

6·a = 30

Therefore;

6·a/6 = 30/6

a = 5

Which is of the form, if a = b then a ÷ c = b ÷ c, which is the division property of equality

b. For the relationship in part b., we have;

∠ABC ≅ ∠LMN

∠LMN ≅ ∠ABC

The above relationship is of the form, if a ≅ b then b ≅ a, which is the symmetric property of congruency

c. For the equation in part c., we have;

\dfrac{2}{3} \cdot \left (x - 6\right ) = 8

Multiply both sides by 3, to get;

3 \times \dfrac{2}{3} \cdot \left (x - 6\right ) = 3 \times 8 = 24

Cancel like terms on the left hand side of the equation, to get;

2·(x - 6) = 24

Which is of the form, if a = c, then a × c = b × c which is the multiplication property of equality

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Riley is saving up to buy a new television. She needs a total of $1,049.77. Riley has saved $200.79 already and earns $77.18 per
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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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140 + (-122) + (-10), I also need it with work.
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Answer:

8

Step-by-step explanation:

140-122=18

18-10=8

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3 years ago
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