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2 years ago

Two angles are complementary. One angle is labeled 2p+6°. The other angles is labeled 4p°. Find the value of p.

Mathematics

1 answer:

makkiz [27]2 years ago

5 0

Answer:

Value of p is 14

Step-by-step explanation:

$given \: complementary \: angles \: add \: up \: to \: 90 \: degrees \\ then \\ 2p + 6 + 4p = 90 \\ 6p + 6 = 90 \\ 6(p + 1) = 90 \\ p + 1 = \frac{90}{6} \\ p + 1 = 15 \\ p = 15 - 1 \\ p = 14$

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Andre45 [30]

Let's call the store value as s and the wholesale price as w. A store prices tapes by raising the wholesale price 50%(0.5 in decimals) and adding 25 cents, writing this as an equation, we have

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If we invert the equation we're going to find the the wholesale price as a function of the store price.

$\begin{gathered} s=w+0.5w+0.25 \\ s=1.5w+0.25 \\ s-0.25=1.5w \\ w(s)=\frac{s-0.25}{1.5} \end{gathered}$

Now, to find the wholesale price if the sales price is $1.99, we just need to evaluate s = 1.99 on the function we created.

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9514 1404 393

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