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hammer [34]
2 years ago
13

Quadrilateral EFGH is on a coordinate plane. Segment FG is on the line 3x − y = −2, and segment EH is on the 3x − y = −6. Which

statement proves how segments FG and EH are related?
Mathematics
1 answer:
liberstina [14]2 years ago
4 0

Answer:

the slope of both lines are the same.

Step-by-step explanation:

Given the following segment of the Quadrilateral EFGH on a coordinate  Segment FG is on the line 3x − y = −2,

segment EH is on the 3x − y = −6.

To determine their relationship, we can find the slope of the lines

For line FG: 3x - y = -2

Rewrite in standard form y = mx+c

-y = -3x - 2

Multiply through by-1

y = 3x + 2

Compare

mx = 3x

m = 3

The slope of the line segment FG is 3

For line EH: 3x - y = -6

Rewrite in standard form y = mx+c

-y = -3x - 6

Multiply through by-1

y = 3x + 6

Compare

mx = 3x

m = 3

The slope of the line segment EH is 3

Hence the statement that proves their relationship is that the slope of both lines are the same.

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Find the measure of missing angle
Bas_tet [7]

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58 degrees

Step-by-step explanation:

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3 0
3 years ago
Brittany removed half of the total number of marbles from her bag, and gave one fourth of the remaining marbles to her friend. W
patriot [66]

The fraction of the total number of marbles is left in the bag after removing and giving part to her friend is 3/8

<h3>Fraction</h3>

let

  • Number of marbles in her bag = x
  • Number of marbles removed from her bag = 1/2x

Remaining marbles = x - 1/2x

= (2x-x) / 2

= x/2

= 1/2x

Number of marbles given to her friend = 1/4 of 1/2x

= 1/4 × 1/2x

= 1/8x

Number of marbles left in the bag = Remaining marbles - Number of marbles given to her friend

= 1/2x - 1/8x

= (4x-x) / 8

= 3x/8

= 3/8x

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3 0
2 years ago
The number of years of education of self-employed individuals in the united states has a population mean of 13.6 years and a pop
muminat

Answer:

0.3 years

Step-by-step explanation:

With problems like these, I always like to start by breaking down the information into smaller pieces.

μ = 13.6

σ = 3.0

Survey of 100 self-employed people

(random variable) X = # of years of education

So now we have some notation, where μ represents population mean and σ represents population standard deviation. Hopefully, you already know that the sample mean of x-bar is the same as the population mean, so x-bar = 13.6. Now, the question asks us what the standard deviation is. Since the sample here is random, we can use the Central Limit Theorem, which allows us to guess that a distribution will be approximately normal for large sample sizes (that is, n ≥ 30). In this case, our sample size is 100, so that is satisfied. We're also told our sample is random, so we're good there, too. Now all we have to do is plug some stuff in.

The Central Limit Theorem says that for large values of n, x-bar follows an approximately normal distribution with sample mean = μ and sample standard deviation = σ/√n. So, with that info, all we need to do to find the standard deviation of x-bar is to plug our σ and n into the above formula.

σ(x-bar) = σ/√n

σ(x-bar) = 3.0/√100

σ(x-bar) = 0.3

So your answer here is .3 years.

7 0
3 years ago
Jamal makes $12.00/hour and worked 9 hours today. What is his total pay? Don't forget to calculate overtime pay.​
Elanso [62]

Answer:

He made $108 in 9 hours

Step-by-step explanation:

I first multiplied 12 by 9 and got 108

5 0
4 years ago
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