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3 years ago

What is the reason for the step taken from the proof below?

Mathematics

1 answer:

seraphim [82]3 years ago

7 0

Answer:

Option (4)

Step-by-step explanation:

Vertical angles theorem;

"Two vertically opposite angles formed by the intersection of two straight lines are congruent"

By this theorem,

If ∠1 and ∠2 are the vertical angles Given

∠1 ≅ ∠2 Vertical angles theorem

Therefore, Option (4) is the correct option.

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F(x) =- (3x +9) – 13 find f(-5)

belka [17]

$f(x) = -(3x + 9) - 13\\f(-5) = -(3 \cdot (-5) + 9) - 13\\= -(-15 + 9) - 13\\= -(-6) - 13\\= 6 - 13\\= - 7$

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3 years ago

What is the remainder in the synthetic division problem

denis-greek [22]

Answer:

Step-by-step explanation:

1 | 4 6 - 2

4 10

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3 years ago

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Identify the property x + 3 = x + 3

lianna [129]

the answer is communicative

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3 years ago

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A container has 12 and 3/4 cups of lemonade .asher gives each of his classmates 7/8 of a cup of lemonade . He gives away all of

Agata [3.3K]

Asher gave lemonade to 14 students

<em><u>Solution:</u></em>

Given that, A container has 12 and $\frac{3}{4}$ cups of lemonade

Asher gives each of his classmates $\frac{7}{8}$ of a cup of lemonade

To find: Number of classmates received the lemonade

From given question,

Total cups of lemonade = $12\frac{3}{4}$

$\rightarrow 12\frac{3}{4} = \frac{4 \times 12 + 3}{4} = \frac{51}{4}$

cups of lemonade received by each classmate = $\frac{7}{8}$

Thus, number of classmates received the lemonade can be found by dividing total cups of lemonade by cups of lemonade received by each classmate

$\rightarrow \frac{\frac{51}{4}}{\frac{7}{8}}=\frac{51}{4} \times \frac{8}{7}$

$\rightarrow 14.57$

Thus Asher gave lemonade to 14 students

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3 years ago

Write an equation of the line with a slope of −3 and y-intercept of 0.

s2008m [1.1K]

Answer:

y = -3x

Step-by-step explanation:

Substitute the numbers into the point-slope form equation:

y - 0 = -3(x - 0)

y = -3x

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3 years ago