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VLD [36.1K]
3 years ago
6

What value of x will make line m parallel to line n?

Mathematics
1 answer:
Anna71 [15]3 years ago
8 0

Alternate interior angles are congruent, obviously, make sure you measure it as well.
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What is the EQUATION of the line PERPENDICULAR to y=-2x+5 and passing through the point (0,2)?
KonstantinChe [14]

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

The required equation is ~

\boxed{ \sf{y =  \frac{x}{2} + 2 }}

\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}

Let's find the slope of given line ~

  • y =  - 2x + 5

comparing it with general slope - intercept form of line (y = mx + c) we get, m = -2 (that is slope of the line)

let the slope of the required line be n

And, now since the required line Is perpendicular to the given line. the product of their slopes is -1

that is ~

  • - 2 \times n =  - 1

  • n = \dfrac{ - 1}{ - 2}

  • n =  \dfrac{1}{2}

slope of required line is ~ 1/2

now, let's use the point - slope form of line to find the equation of required (perpendicular) line (using point (0 , 2) ~

that is ~

  • y - y_1 = m(x - x_ 1)

here, m = slope ~

  • y - 2 =  \dfrac{1}{2} (x - 0)

  • y - 2 =  \dfrac{x}{2}

  • y =  \dfrac{x}{2}  + 2

I hope it helps ~

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3 years ago
If x=2 and y=5,evaluate the following expression: 20+2(3y−4x)
Xelga [282]

Answer:

34

Step-by-step explanation:

hope this helps :)

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Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{expression}}}}}

Explanation

An algebraic expression is made up of one or more <u>numbers , variables and symbols of mathematical operations</u> , such as , addition , subtraction , multiplication and division whereas An equation is an algebraic expression which involves an <u>equal</u><u> </u><u>to</u><u> </u><u>sign</u><u>.</u>

Hope I helped!

Best regards! :D

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A fleet of rental cars - all the same make, model, and year - has a mean fuel efficiency of 23. 4 miles per gallon (mpg). A rand
loris [4]

From the given question, we did not reject the null hypothsis which makes the answer to this question a type II error

<h3>What is type I error ?</h3>

Data:

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This is an error done from rejecting the null hypothesis (H_0) when the null hypothesis is true, is known as type I error.

<h3>What is type II error ?</h3>

This is an error committed from not rejecting the null hypothesis (H_0) when actually the null hypothesis is false, is known as type II error

Given that the air filter changes are not effective i.e. ȝ = 24.7.

It means that if we do not reject the null hypothesis we shall make a correct decision. So consequently the chance of type II error is impossible because it occurs when we do not reject the null hypothesis, but here not rejecting the null hypothesis will lead to correct decision.

The answer to this question is type II error

Learn more on null hypothesis here;

brainly.com/question/15980493

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Evaluate 2h(3)-4g(-1)
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Answer:

Your answer is 4g+6h


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