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3 years ago

Use the Side-Splitter Theorem to find x, given that PQ||BC . The figure is not drawn to scale.

Mathematics

1 answer:

MrRa [10]3 years ago

8 0

Answer: x=12

Step-by-step explanation:

1. Accoding to the Side-Splitter Theorem, if a line interesect two sides of the triangle and it is parallel to the third side, then the other two sides are divided by the line proportionally.

2. Then, you can form the following proportion:

$\frac{PA}{BP}=\frac{QA}{CQ}$

3. Substitute values and solve for x:

$\frac{8}{x}=\frac{12}{18}\\18*8=12x\\x=12$

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Solution:

Possible outcomes when tossing one coin = {H, T}

Number of possible outcomes when tossing one coin = 2 $=2^1$

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Number of possible outcomes when tossing two coins = 4 $=2^2$

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Number of possible outcomes when tossing three coins = 8 $=2^3$

Therefore, the sequence obtained is $2^1, 2^2, 2^3$ .

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