Answered

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Solve for x and y. PLEASE HELP!! WILL MARK BRAINLIEST!!

Solve For X And Y PLEASE HELP WILL MARK BRAINLIEST class=

Sagot :

Answer:

[tex]x=\sqrt{40}, y=\sqrt{104}[/tex]

Step-by-step explanation:

Note the triangle formed by x, y, and 8 is similar to the largest triangle

so x : c = 8 : y = y : 13, where c is the rightmost vertical length, c² = x² + 5²

From 8 : y = y : 13, we get
y² = 13*8 = 104, so

[tex]y=\sqrt{104}[/tex]

From x : c = 8 : y, we have xy = 8c

x²y² = 64c²

104x² = 64(25 + x²)

104x² = 1600 + 64x²

40x² = 1600

x² = 40

[tex]x=\sqrt{40}[/tex]

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