What are supplementary angles ?

Temka [501]

<h3>Answer: (1,3)</h3>

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Explanation:

Note that the two shaded regions overlap to form the darker shaded region. The point (1,1) is only in the green region, but not in the blue region. It needs to be in both regions for it to be a solution to the system. In contrast, the point (1,3) is on the boundary of the blue region and in the green region as well. It's a solution point because of this.

Points on the boundary are included because of the "or equal to" as part of the inequality sign. Hence the solid boundary lines rather than dashed boundary lines.

The solution (1,3) means that x = 1 and y = 3 pair up together. It says that Cody can buy x = 1 hotdog and y = 3 packs of peanuts so that he has at least 4 snacks, and he stays within the $7 budget.

Going back to (x,y) = (1,1) for a moment, this isn't a solution because x+y = 1+1 = 2 is not 4 or larger. In other words, he only buys 2 snacks here instead of 4 or more.

5 0

3 years ago

Which situation can be modeled by the inequality 3x+5≥12]?

choli [55]

The answer is the last one with Amir as the 5 is the extra, and the 3 is multiplied by x or in this case days, and it is at least not equal.

4 0

3 years ago

If sin2M = COS2N and m N= 30°, what is the measure of _M?<br> 150°<br> 90°<br> 60°<br> 30°

telo118 [61]

Answer:

below

Step-by-step explanation:

n = 30

cos 2*30 = cos 60 = 1/2

sin 30 = 1/2

2m = 30

m=15

8 0

2 years ago

Put the following items in order from most expensive to least expensive. Item Base Price Change Direction Blender $29. 73 9% Mar

Furkat [3]

Putting the considered items in order from most expensive to least expensive item gives the order as shown by: Option b. Blender, ink, hat, heater

<h3>What is Markup and Markdown?</h3>

Markup is the amount that will be increased in the original price of the considered thing.

Markdown is the amount that will be decreased from the original price of the considered thing.

Think of "up" and "down" as increasing and decreasing prices respectively.

<h3>How to find the percentage from the total value?</h3>

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

$\dfrac{a}{100} \times b$

For this case, the base prices and the chage in price is given as:

Item Base Price Change Direction

Blender $29.73 9% Markdown

Hat $14.16 77% Markup

Ink $20.17 27% Markup

Heater $28.46 22% Markdown

Calculating the resultant price:

Case 1: Blender:

Resultant price = 29.73 - 9% of 29.73

$P= 29.73 - \dfrac{29.73}{100}\times 9\\\\P = 27.0543 \: \: \text{dollars}$

Case 2: Hat:

Resultant price = 14.16 + 77% of 14.16

$P= 14.16+\dfrac{14.16}{100}\times 77\\\\P = 25.0632\: \: \text{dollars}$

Case 3: Ink:

Resultant price = 20.17 + 27% of 20.17

$P= 20.17+\dfrac{20.17}{100}\times 27\\\\P = 25.6159\: \: \text{dollars}$

Case 4: Heater:

Resultant price = 28.46 - 22% of 28.46

$P= 28.46- \dfrac{28.46}{100}\times 22\\\\P = 25.0448 \: \: \text{dollars}$

Thus, putting the considered items in order from most expensive to least expensive item gives the order as shown by: Option b. Blender, ink, hat, heater

Learn more about percent here:

brainly.com/question/11549320

4 0

2 years ago

Consider the line y=4x-4.

erica [24]

9514 1404 393

Answer:

parallel: y = 4x -6
perpendicular: y = -1/4x +27/4

Step-by-step explanation:

If we want the new line to be written in slope-intercept form, we need to find the new value of the y-intercept. The equation of the line is ...

y = mx +b . . . . . . . for slope m and y-intercept b

Solving for b gives ...

b = y -mx . . . . . . . subtract mx from both sides.

The values of x and y come from the point we want the line to pass through. The value of m will be the same for the parallel line as for the given line: 4. For the perpendicular line, it will be the opposite reciprocal of this: -1/4.

<u>Parallel line</u>

b = 6 -4(3) = 6 -12 = -6

y = 4x -6

Perpendicular line

b = 6 -(-1/4)(3) = 6 +3/4 = 27/4

y = -1/4x +27/4

4 0

3 years ago