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Sladkaya [172]
3 years ago
14

What is x given angle ABC~ angle DBE~ ?

Mathematics
2 answers:
Dovator [93]3 years ago
6 0

30:50 = 3:5

x : x+25 = 3:5

25/2 x 3 = 37.5

lakkis [162]3 years ago
4 0

Answer:

x = 37.5

Step-by-step explanation:

Find the ratio.

\frac{x}{x+25}=\frac{30}{50}

Cross-multiply, distribute.

50x=30(x+25)\\\\50x=30x+750

Subtract 30x from both sides.

20x=750

Divide both sides by 20.

x=37.5

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\left[\begin{array}{ccc}5&4\\3&6\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right]=\left[\begin{array}{ccc}-14\\6\end{array}\right] is the required matrix form.

Step-by-step explanation:

Here, the given system of equation is:

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Variable Matrix(X) = \left[\begin{array}{ccc}x\\y\end{array}\right]

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\left[\begin{array}{ccc}5&4\\3&6\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right]=\left[\begin{array}{ccc}-14\\6\end{array}\right]

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