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3 years ago

Triangle FGH is similar to triangle DEF. solve for p

Mathematics

1 answer:

nataly862011 [7]3 years ago

3 0

Answer:

p = 16

Step-by-step explanation:

Given that ∆FGH is similar to ∆DEF, it follows that the ratio of their corresponding side lengths would be equal. Therefore:

$\frac{FH}{DF} = \frac{FG}{DE}$

FH = 12

DF = p

FG = 24

DE = 32

Plug in the values

$\frac{12}{p} = \frac{24}{32}$

Cross multiply

$12*32 = 24*p$

$384 = 24p$

Divide both sides by 24

$\frac{384}{24} = \frac{24p}{24}$

$16 = p$

p = 16

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3 years ago

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Step 4: Solve for $x$

1. Ask: When will $(2x+1)(x-2)$ equal zero?
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Step 5: From the values of $x$ above, we have these 3 intervals to test.
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3 years ago

Read 2 more answers

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gayaneshka [121]

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