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3 years ago

Which lines would be parallel, if any?

1 answer:

5 0

Line a can be rewritten as
.. 2y -x = 12
The coefficients of y and x match those of line b, so lines "a" and "b" are parallel.

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Jen and Ron each took five tests. Their test scores are shown below.

Molodets [167]

The statement that correctly compares the students’ test scores is that the median of Jen's score is greater than the median of Ron's score.

<h3>How to find mean and median?</h3>

Jen and Ron each took five tests. There test score are as follow:

Jen: {45, 91, 84, 66, 74}
Ron: {70, 95, 99, 69, 72}

Let's find the mean and median of the test score to compare them correctly

Jen: {45, 66, 74, 84, 91}

mean of Jen score = 45 + 66 + 74 + 84 + 91 / 5

mean of Jen score= 360 / 5

mean of Jen score = 72

Median of Jen score = 74

Ron: {69, 70, 72, 95, 99}

mean of Ron score = 69 + 70 + 72 + 95 + 99 / 5

mean of Ron score = 405 / 5

mean of Ron score = 81

median of Ron score = 72

Therefore, the median of Jen's score is greater than the median of Ron's score.

learn more on mean and median here: brainly.com/question/27388918

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7 0

2 years ago

Solve for x 5x + 14 >54

Vsevolod [243]

Answer:

x > 8

Step-by-step explanation:

5x > 40

40/5 = 8

x> 8

subtract 14

divide by 5

6 0

3 years ago

How do i solve for this?

Firdavs [7]

9514 1404 393

Answer:

97.42 square units

Step-by-step explanation:

The area of a sector is given by ...

A = (1/2)r²θ

where r is the radius (12.2) and θ is the central angle in radians. Here, you're given the central angle as 75°, so you need to convert that to radians.

75° = (75°)×(π/180°) radians = (5/12)π radians

Then the area is ...

A = (1/2)(12.2²)(5π/12) = 744.2π/24 ≈ 97.42 . . . square units

Equivalently, you can find the area of the circle in the usual way:

A = πr² = π(12.2²) ≈ 467.59465

Then, multiply by the fraction of the circle that is shaded (75°/360°)

sector area = (467.59465)(75/360) = 94.42 . . . square units

5 0

3 years ago

Parallelogram MNPQ was dilated to create parallelogram M'N'P'Q'. On a coordinate plane, 2 parallelograms are shown. Parallelogra

Naddika [18.5K]

Answer:

The answer is below

Step-by-step explanation:

Which statements are true about the parallelograms? Check all that apply.

The length of side MN is 2 units.

The length of side M'N' is 5 units.

The image is smaller than the pre-image.

Sides MQ and M'Q' both have the same slope, 1.

The scale factor is 2/5

a) The length of side MN is determined using the formula:

$|MN|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(4-2)^2+(-2-(-2))^2}=\sqrt{2^2}=2\\ \\ |MN|=2$

The first option is correct

b) The length of side M'N' is determined using the formula:

$|M'N'|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(10-5)^2+(-5-(-5))^2}=\sqrt{5^2}=2\\ \\ |M'N'|=5$

The second option is correct

c) From the coordinates of parallelogram MNPQ and M'N'P'Q', we can see that parallelogram MNPQ is dilated by a factor of 5/2 to produce parallelogram M'N'P'Q' , hence parallelogram M'N'P'Q' is bigger that parallelogram MNPQ. This means that The image is bigger than the pre-image.

The third option is wrong

d) The slopes are given as:

$Slope\ of\ MQ=\frac{Change\ in\ y}{Change\ in\ x}=\frac{1-2}{-3-(-2)} =1\\ \\Slope\ of\ M'Q'=\frac{Change\ in\ y}{Change\ in\ x}=\frac{3-5}{-7-(-5)} =1\\$

Option four is correct

e) From the coordinates of parallelogram MNPQ and M'N'P'Q', we can see that parallelogram MNPQ is dilated by a factor of 5/2 to produce parallelogram M'N'P'Q', hence the scale factor is 5/2

Option 5 is wrong

6 0

3 years ago

Read 2 more answers

Which ones are linear & which are exponential ?

AveGali [126]

Answer:

11 - exponential, 12-linear, 13 exponential, 14 exponential

Step-by-step explanation:

5 0

3 years ago