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3 years ago

8

If you draw all of the diagonals from a single vertex of a convex polygon with 8 sides, how many triangles are formed?

1 answer:

oee [108]3 years ago

6 0

The number of triangles is n-2
n= number of sides
8-2= 6 triangles
if applying this you won't have to draw any diagonals to
find the number of triangles just subtract 2 from the number of sides

hope this helps

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Carl is raising money for his football team. He is selling chocolate bars for $1.50 each and cookies for $2. He sold all 20 of h

stich3 [128]

Answer:

Carl has to sell at least $8$ cookies.

$c\geq 7.5$

Step-by-step explanation:

Carl gets $\$1.50$ by selling 1 chocolate bar.

Earning from chocolate bars:

$Total\ chocolate\ bar=20\\\\Earning\ from\ one\ chocolate\ bar=\$1.50\\\\Total\ earning\ from\ chocolate\ bar=Total\ chocolate\ bar\times cost\ of\ 1\ chocolate\ bar=20\times 1.5=\$30$

Earning From cookies:

$Let\ total\ number\ of\ cookies=c\\\\Cost\ of\ 1\ cookie=\$2\\\\Earning\ from\ cookies=2\times c=2c$

$Total\ earning=Earning\ from\ cookies+Earning\ from\ cookies+Earning\ from\ chocolate\ bars\\\\Total\ earning=30+2c$

Carl wants to raise at least $\$55$

$Total\ earning\geq 55\\\\2c+30\geq 55\\\\2c\geq 55-30\\\\2c\geq 15\\\\c\geq7.5$

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3 years ago

Position to term rule of 2, 6, 10, 14, 18<br><br> multiply by _____ and subtract by _____

andreyandreev [35.5K]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the sequence

2, 6, 10, 14, 18

An arithmetic sequence has a constant difference and is defined as

$\:a_n=a_1+\left(n-1\right)d$

compute the differences of all the adjacent terms

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The difference between all the adjacent terms is the same.

Thus,

$d=4$

and

$a_1=2$

Therefore, the nth term is computed by:

$a_n=4\left(n-1\right)+2$

$a_n=4n-2$

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2 years ago

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alexandr1967 [171]

Answer:

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Step-by-step explanation:

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2 years ago

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Vadim26 [7]

The measure of B’C’ is 18 inches

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2 years ago

Simplify the following expression.

zimovet [89]

Answer:

B. 51

Step-by-step explanation:

first do inside the parenthesis

83 - 4 * (6-4)^3 = 83 - 4 * (2)^3

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3 years ago