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2 years ago

Which graph shows the solution to the system of linear inequalities?

Mathematics

1 answer:

snow_tiger [21]2 years ago

6 0

The solution to the inequality y > x + 3 and y < -x + 2 is the dark green region shown in the graph.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Inequality shows the non equal comparison of two or more numbers and variables.

Given the inequality y > x + 3 and y < -x + 2.

The solution to the inequality y > x + 3 and y < -x + 2 is the dark green region shown in the graph.

Find out more on equation at: brainly.com/question/2972832

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The ratio of the same side interior angles of two parallel lines is 1:14. Find the measures of all eight angles formed by the pa

Andrew [12]

Answer:

At the intersection of the first parallel line with the transversal, a = 12°, c = 168°, d = 12°, e = 168°. Counting counterclockwise from a.

At the first intersection of the second parallel line with the transversal, b = 168°, f = 12°, g = 168°, h = 12°. Counting clockwise from b.

Step-by-step explanation:

At the intersection of the first parallel line with the transversal, a = 12°, c = 168°, d = 12°, e = 168°. Counting counterclockwise from a.

At the first intersection of the second parallel line with the transversal, b = 168°, f = 12°, g = 168°, h = 12°. Counting clockwise from b.

Step-by-step explanation:

Let a be the first interior angle. Since they are in 1:14, the second same side interior angle is b = 14a.

We know that the sum of interior angles equals 180°.

So, a + b = 180°

a + 14a = 180°

15a = 180°

a = 180/15

a = 12°

At alternate angle to the other interior angle, b adjacent to a is c = b = 14a = 14 × 12 = 168°

The angle vertically opposite to a is d = a = 12°

The angle vertically opposite to a is b = e = 168°

At the intersection of the second parallel line and the transversal, the angle alternate to a is f = a = 12°

the angle vertically opposite to angle b is g = b = 168°

the angle vertically opposite to f is h = 12°

6 0

3 years ago

The number of lattes sold daily for two coffee shops is shown in the table: Lattes 55 52 50 47 68 48 53 53 Based on the data, wh

Ghella [55]

The difference between the median of the data, including the possible outlier, and excluding the possible outlier is 2.

<h2>Given that</h2>

The number of lattes sold daily for two coffee shops is shown in the table: Lattes 55 52 50 47 68 48 53 53 Based on the data.

<h3>We have to determine</h3>

What is the difference between the median of the data, including the possible outlier, and excluding the possible outlier?

<h3>According to the question</h3>

The number of lattes sold daily for two coffee shops is shown in the table: Lattes 55 52 50 47 68 48 53 53 Based on the data.

The data set with the outlier is 20, 41, 45, 48, 52, 55, 56, 57; Meaning the median falls in between 48 and 52, which is 50.

Then the data set without the outlier is 41, 45, 48, 52, 55, 56, 57; Making the median here 52.

Therefore,

The difference between the median of the data, including the possible outlier, and excluding the possible outlier is

= 52 -50 = 2

Hence, The difference between the median of the data, including the possible outlier, and excluding the possible outlier is 2.

To know more about Median click the link is given below.

brainly.com/question/13279523

6 0

2 years ago

What is height of the cone below?<br><br> V = 90 cm^3<br><br> B = 18^2

Alexxx [7]

Answer:

Step-by-step explanation:

πr² = 18

v = 90 cm³

1/3πr² h = 90

1/3*18*h = 90

h = 90*3/18

h = 5*3 =15 cm

4 0

4 years ago

Read 2 more answers

Which square root is between 4 and 5?

Norma-Jean [14]

Answer:

It's C. 24.

Step-by-step explanation:

I just did it.

Hope this helps!!!

8 0

3 years ago

Read 2 more answers

The magnitude, M, of an earthquake is defined to be M=log I/S, where I is the intensity of the earthquake (measured by the ampli

Brilliant_brown [7]

Given:
M = log I/S

M = magnitude
I = intensity of the earthquake
S = intensity of the standard earthquake

The minimum intensity of a standard earthquake is 10.
Intensity of the earthquake is 35 times the standard earthquake. So,
10 x 35 = 350

M = log 350/10
M = log 35
M = 1.544 or 1.5 Third option

6 0

4 years ago

Read 2 more answers