Respuesta :

wegnerkolmp2741o

Answer:

45.8

Step-by-step explanation:

We can use the Pythagorean theorem with legs 3x and 4x+7

a^2+ b^2 = c^2

(3x^2) +(4x+7)^2 = c^2

Let x = 8

(3*8)^2 + (4*8+7)^2 = c^2

24^2+ 39^2 = c^2

576+1521 = c^2

2097 = c^2

Take the square root of each side

sqrt(2097) = sqrt(c^2)

45.79301257 =c

Rounding to the nearest tenth

45.8 =c

iamathing

Answer:

45.8

Step-by-step explanation:

First solve for the other two sides by replacing x with 8

4(8)+7 = 39

3(8) = 24

Then use the pythagorean theorem ([tex]a^{2} + b^{2} = c^{2}[/tex]) to solve for the hypotenuse, c being the hypotenuse

[tex]39^{2} + 24^{2} = c^{2}[/tex]

1521 + 576 = [tex]c^{2}[/tex]

2097 = [tex]c^{2}[/tex]

[tex]\sqrt{2097} = \sqrt{c^{2} }[/tex]

45.8

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