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3 years ago

How many diagnols can fit in a 8 sided shape?

Mathematics

1 answer:

Jobisdone [24]3 years ago

8 0

Drawing a diagonal means to connect a vertex with another non-adjacent vertex.

So, for each vertex, we have 8-3=5 possible diagonals. This leads to a total of 8*5=40 diagonals.

We have to divide this number by 2 though, because in this way we're counting each diagonal twice (connecting points AB or BA gives the same diagonal).

So, an 8 sided shape has 20 diagonals.

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An algebra test contains 38 problems. Some of the problems are worth 2 points each. The rest of the questions are worth 3 points

Naily [24]

Let 'x' be the problems worth 2 points.

Let 'y' be the problems worth 3 points.

Since, there are 38 total problems.

So, $x+y =38$ (equation 1)

x = 38-y

Since, a perfect score is 100 points.

So, $2x+3y = 100$ (equation 2)

Substituting the value of 'x', we get

$2(38-y)+3y=100$

$76-2y+3y=100$

$76+y = 100$

y = 24

x+y = 38

x = 38-24 = 14

So, 14 problems are worth 2 points and 24 problems are worth 3 points.

5 0

3 years ago

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PLZZZ HELP!!! VERY CONFUSED!!! Will give brainliest!!!!

777dan777 [17]

By the intersecting chords theorem, you have

$7\cdot4=5\cdot x\implies 5x=28\implies\boxed{x=\dfrac{28}5}$

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3 years ago

HELPPPPPPPPP PLEASE!!! :(

erastovalidia [21]

Answer:

x = 25

Step-by-step explanation:

Given:

∠A = ∠B (Vertically opposite angles)
∠A = (7x - 8)°
∠B = (6x + 17)°

Since ∠A is equivalent to ∠B...

$\implies (7x - 8)= (6x + 17)$

Open the parenthesis:

$\implies 7x - 8= 6x + 17$

Add 8 both sides:

$\implies 7x - 8 + 8= 6x + 17 + 8$

Simplify both sides:

$\implies 7x = 6x + 25$

Subtract 6x both sides:

$\implies 7x - 6x = 6x - 6x + 25$

Simplify both sides:

$\implies x = 25$

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2 years ago

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EASY POINTS Find the domain of the graphed function.

Vladimir [108]

Using it's concept, it is found that the domain of the graphed function is given as follows:

D. $-4 \leq x \leq 2$

<h3>What is the domain of a function?</h3>

It is the set that contains all possible input values for the function. In a graph, it is given by the values of x.

In this graph, x assumes values between -4 and 2, inclusive due to the closed circle, hence the domain is given by:

D. $-4 \leq x \leq 2$

More can be learned about the domain of a function at brainly.com/question/10891721

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2 years ago

The equation shows the relationship between x and y:

Alex_Xolod [135]

This is in slope-intercept form which is y=mx+b
where m is the slope and b is the intercept
in this equation -7 is m
The correct answer is -7

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3 years ago