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irakobra [83]
3 years ago
8

Geometry math question

Mathematics
1 answer:
Brut [27]3 years ago
7 0

Look at the picture.

Let |AE| = |AD| = b

We have a proportion:

\dfrac{x}{13}{y}=\dfrac{19}{y+a}=\dfrac{x}{y+2a}

Solve for y from first proportion

\dfrac{13}{y}=\dfrac{19}{y+a}\ \ \ |\text{cross multiply}\\\\19y=13(y+a)\\\\19y=13y+13a\ \ \ \ |-13y\\\\6y=13a\ \ \ |:6\\\\y=\dfrac{13}{6}a

Substitute to the second proportion

\dfrac{19}{y+a}=\dfrac{x}{y+2a}\\\downarrow\\\dfrac{19}{\frac{13}{6}a+a}=\dfrac{x}{\frac{13}{6}a+2a}\\\\\dfrac{19}{\frac{13}{6}a+\frac{6}{6}a}=\dfrac{x}{\frac{13}{6}a+\frac{12}{6}a}\\\\\dfrac{19}{\frac{19}{6}a}=\dfrac{x}{\frac{25}{6}a}\ \ \ \ |\dot a\neq0\\\\\dfrac{19}{\frac{19}{6}}=\dfrac{x}{\frac{25}{6}}\\\\19\cdot\dfrac{6}{19}=x\cdot\dfrac{6}{25}\\\\6=\dfrac{6x}{25}\ \ \ |\cdot25\\\\6x=6\cdot25\ \ \ |:6\\\\x=25

Answer: B. 25

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Answer:

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Step-by-step explanation:

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Anyway, there's three basic steps. First write y instead of f(x). Then switch the x and y. Then solve for y.

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write y in place of f(x).

y = 3x - 5

SWITCH x and y.

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SOLVE for y.

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Hello from MrBillDoesMath!

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Discussion:

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