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Margarita [4]
2 years ago
8

1 2 4 3 6 8 7 14 16? whats the next term in this sequence?

Mathematics
1 answer:
ANEK [815]2 years ago
8 0
The next term in this sequence would be 18.
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NNADVOKAT [17]
You can solve this by using "similar triangles".

In triangle ABC, we are looking for side AC which is x. Side AC is similar to side DF in triangle EDF.

You can solve for side x by picking two sides in triangle ABC and their corresponding sides in triangle EDF. This is what I mean:
\frac{AC}{BC} =  \frac{DF}{EF}
Substitute for the values of AC, BC, DF and EF:
\frac{x}{4}  =  \frac{11}{8}  \\  \\ 8x = 4 \times 11 \\  \\ x =  \frac{44}{8}
x = 5.5 \: units
To solve for y, do the same thing. Pick two sides on triangle ABC and their corresponding sides in triangle DEF.
\frac{AB}{BC}  =  \frac{DE}{EF}
Substitute for the values and solve:
\frac{3}{4}  =  \frac{y}{8}
4y = 24 \\  \\ y = 6 \: units

We have the value x to be 5.5 units and y to be 6 units.

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labwork [276]

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Twenty-one fish are swimming in an aquarium. Eleven are removed, leaving 10 fish. Which number is the additive inverse of the nu
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The additive inverse: The usage of addition with a negative number.

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