Which of the following equation is true?

a polygon of 100 sides has all possible drawn from a chosen vertex to the others. how many triangles are formed

Hoochie [10]

Answer:

98

Step-by-step explanation:

for a 4 sided polygon you can only draw one diagonal from one vertex so it forms 2 triangles.

For 5 sides you get 3 triangles

For 6 sides - 4

For 7 sides - 5

For 8 sides - 6

Looks like we get 2 less triangles than the number of sides in the polygon

Answer for 100 sides is 98 triangles.

7 0

3 years ago

WILL BE MARKED AS BRAINLIEST!! (52 + 4 − 6)− (−52 − 3 + 15)

AveGali [126]

Answer:

90

Step-by-step explanation:

make sure to use BIDMAS

start of by working out everything in the brakets first.

the first bracket would be 50

the second bracket would be -40

the minus these as there is a minus between the brackets

50--40=90

5 0

4 years ago

Read 2 more answers

The width of a rectangle is only 15% of its length. If the perimeter of the rectangle is 46, what is the length

sveta [45]

Answer:

20 units

Step-by-step explanation:

Let the length be x. According to the question,

Length = x
Width = 15% of the length

➝ Width = 15% of the length

➝ Width = 15/100x

➝ Width = 3/20x

We have the perimeter of the rectangle that is 46 units.

$\longrightarrow \sf {Perimeter_{(Rec.)} = 2(L + W) } \\$

$\longrightarrow \sf {46= 2\Bigg \lgroup x + \dfrac{3}{20}x \Bigg \rgroup } \\$

$\longrightarrow \sf {46= 2\Bigg \lgroup \dfrac{20x + 3x}{20} \Bigg \rgroup } \\$

$\longrightarrow \sf {46= 2\Bigg \lgroup \dfrac{23x}{20} \Bigg \rgroup } \\$

$\longrightarrow \sf {\dfrac{46}{2}= \dfrac{23x}{20}} \\$

$\longrightarrow \sf {23= \dfrac{23x}{20}} \\$

$\longrightarrow \sf {23 \times 20 = 23x} \\$

$\longrightarrow \sf {460= 23x} \\$

$\longrightarrow \sf {\cancel{\dfrac{460}{23}} = x} \\$

$\longrightarrow \underline{\boxed{ \bf {20\; units = x}}} \\$

Therefore, length of the rectangle is 20 units.

5 0

3 years ago

Consider the table representing an exponential function.

omeli [17]

Answer: f(x) is just a fancy way of writing y in an equation

Step-by-step explanation:

Example: f(x)= 2x+4 is the same as y= 2x+4

6 0

4 years ago

What graph represents f(x) = 0.5(4)x

vampirchik [111]

Answer:

See attached picture

Step-by-step explanation:

The equation f(x) = 0.5(4)x is most likely $f(x) = 0.5(4)^x$ . This is an exponential. To graph the function, test the points -1, 0, and 1. Then connect.

$f(x) = 0.5(4)^{-1}=0.5(\frac{1}{4}) = \frac{1}{8}$

$f(x) = 0.5(4)^{0}=0.5(1) = 0.5$

$f(x) = 0.5(4)^{1}=0.5(4) = 2$

5 0

3 years ago