Can someone please help me figure out how to solve for x?

Mathematics

1 answer:

Anna007 [38]2 years ago

8 0

Answer:

$x=30$

Step-by-step explanation:

Both triangles in this figure are similar. Therefore, we can set up the following proportion:

$\frac{21}{x}=\frac{14}{20}$ .

Cross-multiply to solve:

$14x=21\cdot 20,\\x=\frac{21\cdot20}{14},\\x=\fbox{$30$}$ .

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Naddik [55]

Step-by-step explanation:

1. We we can split 4p into 9p - 5p, and now we have 3p² + 9p - 5p - 15 = 0. We can take out 3p from the first 2 terms and -5 from the last 2 terms. This gets us 3p (p + 3) -5 (p + 3) = 0. These two terms have (p + 3) as a common facor, so we can take that out as well, which give us (p + 3)(3p - 5) = ). Using Zero Product Property, p + 3 = 0 and 3p - 5 = 0, and when we solve each equation, we get p = -3, p= 5/3.

2. We will use the same process.

6x² + 14x - 3x - 7 = 0

2x (3x+7) - 1 (3x+7) = 0

(3x + 7)(2x - 1) = 0

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Hope this helps!

4 0

3 years ago

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Alex777 [14]

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