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2 years ago

14

Find the acute angle formed by line 2y=x+1

1 answer:

givi [52]2 years ago

6 0

Answer:

26.57°

Step-by-step explanation:

$2y = x + 1 \\ y = \frac{1}{2} x + 1 \\ equating \: it \: with \\ y = mx + b \\ slope \: m = \frac{1}{2} \\ \because \: \tan \theta = m \\ \therefore \: \tan \theta = \frac{1}{2} = 0.5 \\ \therefore \: \theta = {tan}^{ - 1} (0.5) \\\therefore \: \theta = {tan}^{ - 1} ( \tan \: 26.565051177 \degree) \: \\ \\ \huge \red{ \boxed{\therefore \: \theta = 26.57 \degree}}$

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Two-Step Equations 2/5x−3=−17

Lina20 [59]

Answer:

x =-35

Step-by-step explanation:

2/5x−3=−17

Add 3 to each side

2/5x−3+3=−17+3

2/5x = -14

Multiply each side by 5/2

5/2 * 2/5x = -14 * 5/2

x = -35

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2 years ago

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How many seats are in the library?

solmaris [256]

12 tables seat 4 people = 48 seats
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3 years ago

7. What is the equation of a circle with a

Anni [7]

Answer:

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Step-by-step explanation:

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3 years ago

Lines a and b are parallel Line cis perpendicular to both line a and line b. Which

prohojiy [21]

Answer:

see below

Step-by-step explanation:

The slopes of parallel lines are the same. The slopes of perpendicular lines are negative reciprocals of each other, hence their product is -1.

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2 years ago

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The states C and D spend a total of $54.6 million for tourism. The state C spends $2 million more than the state D. Find the a

Roman55 [17]

State C spent $28.3 million and State D spent $26.3 million.

Step-by-step explanation:

Total spent for tourism = $54.6 million

Let,

The amount spent by State C = x

The amount spent by State D = y

According to given statement;

x+y = 54.6 Eqn 1

x=y+2 Eqn 2

Putting value of x from Eqn 2 in Eqn 1

$(y+2)+y-54.6\\y+2+y=54.6\\2y=54.6-2\\2y=52.6\\$

Dividing both sides by 2

$\frac{2y}{2}=\frac{52.6}{2}\\y=26.3$

Putting y=26.3 in Eqn 2

$x=26.3+2\\x=28.3\\$

State C spent $28.3 million and State D spent $26.3 million.

Keywords: linear equations, substitution method

Learn more about linear equations at:

#LearnwithBrainly

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2 years ago