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3 years ago

A heptagon can be divided into how many triangles by drawing all of the diagonals from one vertex?

Mathematics

2 answers:

Salsk061 [2.6K]3 years ago

7 0

That would be 5 triangles.

Eddi Din [679]3 years ago

5 0

Answer:

The answer is 5 triangles.

Step-by-step explanation:

A heptagon is a seven sided polygon.

So, the number of triangles that can be drawn from 1 vertex in any polygon with n sides, is given by : $n-2$ .

Therefore, in a heptagon, we can draw $7-2=5$ triangles.

The sum of the interior angles of a heptagon is 900 degrees. We can check this by taking the total interior angle sum of 5 triangles.

Sum of internal angle of triangles is = 180 degrees.

So, sum of 5 triangles will be = $180\times5=900$ degrees.

This proves, a heptagon can have 5 triangles.

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Write the slope intercept equation of the function f whose graph satisifies the given conditions. The graph of f passes through

MrMuchimi

Let's find slope first.

(1,-2)
(-8,6)

$\\ \sf\longmapsto m=\dfrac{6+2}{-8-1}$

$\\ \sf\longmapsto m=\dfrac{8}{-9}$

Slope intercept form

$\\ \sf\longmapsto y=mx+b$

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2 years ago

A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to spli

Margarita [4]

1) The scenario is represented by the equation 1/8(x+16)=76/8, where x is the food bill.

2) The total food bill is represented by the equation x=60.

Both of these responses are correct.

Step-by-step instructions:

Because there are eight buddies in the group, the total money spent by them is $76 (including the $16 tip).

Our equation can be as follows if x is the food bill:

76/8 = (x+16)/8

Solving the Problem

9.5 = (x+16)/8

9.5*8 Equals x+16

x=76 -16 x=76 -16 x=76 -16 x=

60 = x

The cost of food is x=60.

6 0

1 year ago

Point B, located at (-5, -8), is rotated 360°. What are the coordinates of point B?

Natalka [10]

(-5,-8)
The coordinates are still the same because a rotation of 360° is a complete circle, therefore the points remain in the same spot.

4 0

2 years ago

Read 2 more answers

Solve for d <br> d + 8 < 35

9966 [12]

Answer:

d < 27

Step-by-step explanation:

Solve for d by subtracting 8 from both sides. This isolates d:

d + 8 < 35

-8 -8

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d < 27

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