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3 years ago

How to determine whether two known pairs of points are on the same line.

Mathematics

1 answer:

Vlad [161]3 years ago

5 0

Answer:

Step-by-step explanation:

Sample response: Use the slope formula three times: once for the first pair of points, then for the second pair of points, then for one point from each pair. If all three slopes are the same, then all the points lie on the same line.

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Find the interior angle of a regular polygon which has 6 sides

AveGali [126]

Answer:

120°.

Step-by-step explanation:

The sum of all interior angles in a polygon with $n$ sides ( $n\in \mathbb{Z}$ , $n \ge 3$ ) is equal to $(n - 2) \cdot 180^{\circ}$ . (Credit: Mathsisfun.)

The polygon here has 6 sides. $n = 6$ . Its interior angles shall add up to $(6 - 2) \times 180^{\circ} = 720^{\circ}$ .

Consider the properties of a regular polygon. (Credit: Mathsisfun.)

All sides in a regular polygon are equal in length.
All angles in a regular polygon are also equal.

There are six interior angles in a polygon with 6 sides. All six of them are equal. Thus, each of the six interior angle will be

$\displaystyle \frac{1}{6}\times 720^{\circ} = 120^{\circ}$ .

5 0

3 years ago

Nathan has three pieces of wood the first is 9.8 feet in length the second is 7.5 feet in length and the third is 12 feet in len

snow_tiger [21]

9.4 Ft for the first one

7.5 Ft for the second piece

12 Ft for the Third

he uses 5.2 Ft from the first piece of wood so 9.4 - 5.2= 4.6ft
he uses 6.1 ft from the second piece of wood , 7.5 - 6.1 = 1.4 ft
Nathan didnt use any of the 3rd piece of wood , so he still have 12 Feet of wood remaining so, 12+4.6+1.4 = 18 feet of wood left that he didnt use.

8 0

3 years ago

You see a news headline which claims that tuition at CSU San Jose is going to increase by 7% next year. If tuition for in-state

wolverine [178]

The tuition would be $6143.94 next year

<h3>How to detemrine the tuition amount?</h3>

The given parameters are:

Current amount = $5,742
Rate of increment, r = 7%

The tuition next year is then calculated as:

Tuition = Current * (1 + Rate)

This gives

Tuition = $5,742 * (1 + 7%)

Evaluate

Tuition = $6143.94

Hence, the tuition would be $6143.94 next year

Read more about rates at:

brainly.com/question/25545513

#SPJ1

6 0

2 years ago

2x+7 =5 is an example of...

tresset_1 [31]

Answer:

This is an example of distribution

Step-by-step explanation:

The reason why is because the equation is linear and if you exclud the y it show that it can distribute.

6 0

3 years ago

Rita and Tina each make $11 an hour working as cashiers at a supermarket. Last week, Rita worked rhours while Tina worked thours

ivann1987 [24]

Answer:

Step-by-step explanation:

The amount that Rita and Tina each make per hour working as cashiers at a supermarket is $11.

Last week, Rita worked r hours. It means that the amount that Rita made last week, working for r regular hours is 11r. Rita also worked overtime hours during the week, for which she was paid an extra $32 flat wage. It means that the total amount earned by Rita last week was

11r + 32

Last week, Tina worked for t hours. It means that the amount earned by Tina last week was 11t

The expression representing the total weekly wages of both Rita and Tina is

11r + 32 + 11t

3 0

4 years ago