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3 years ago

If all of the diagonals are drawn from a vertex of an octagon, how many triangles are formed?

Mathematics

2 answers:

rusak2 [61]3 years ago

7 0

Answer:

Step-by-step explanation:

Lynna [10]3 years ago

3 0

There are 6, you'd think there would be 8 but the answer is actually 6. A diagonal is a line segment that connects to vertices, the two vertices chosen do not count when forming the triangle, two vertices that are adjacent to that chosen vertex are NOT included when forming the diagonal. It's confusing, but I hope this helps. If you have any follow up questions I'd love to answer them.

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How many gallons each of 20% alcohol and 10% alcohol should be mixed to obtain 10gal of 11% alcohol?

Scilla [17]

Answer:

20% alcohol = 1 gal

10% alcohol = 9 gal

Step-by-step explanation:

Let

x = 20% alcohol

y = 10% alcohol

x + y = 10 (1)

0.20x + 0.10y = 10*0.11

0.20x + 0.10y = 1.1 (2)

From (1)

x = 10 - y

Substitute x = 10 - y into (2)

0.20x + 0.10y = 1.1

0.20(10 - y) + 0.10y = 1.1

2 - 0.20y + 0.10y = 1.1

- 0.20y + 0.10y = 1.1 - 2

-0.10y = -0.9

y = -0.9/-0.10

y = 9 gal

substitute y = 9 into (1)

x + y = 10

x + 9 = 10

x = 10 - 9

x = 1 gal

20% alcohol = 1 gal

10% alcohol = 9 gal

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kolbaska11 [484]

Answer:

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Gre4nikov [31]

Answer:

$(x + 5)$

Step-by-step explanation:

${x}^{2} + 8x + 15 \\ {x}^{2} + 3x + 5x + 15 \\ x(x + 3)5(x + 3) \\ (x + 3)(x + 5) \\ length \: = \frac{(x + 3)(x + 5)}{(x + 3)} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (x + 5)$

5 0

3 years ago

Read 2 more answers