addygnordlund addygnordlund
  • 16-02-2020
  • Mathematics
contestada

What is x given angle ABC~ angle DBE~ ?

What is x given angle ABC angle DBE class=

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KillerBlade
KillerBlade KillerBlade
  • 16-02-2020

30:50 = 3:5

x : x+25 = 3:5

25/2 x 3 = 37.5

Answer Link
zombobly
zombobly zombobly
  • 16-02-2020

Answer:

x = 37.5

Step-by-step explanation:

Find the ratio.

[tex]\frac{x}{x+25}=\frac{30}{50}[/tex]

Cross-multiply, distribute.

[tex]50x=30(x+25)\\\\50x=30x+750[/tex]

Subtract 30x from both sides.

[tex]20x=750[/tex]

Divide both sides by 20.

[tex]x=37.5[/tex]

Answer Link

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