jaylynnsykes13
Answered

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Please.

Find BC. If AB = x, BC = 8x-4 and AC =77°.
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Sagot :

CrazyMoosen

Answer:

91 1/9

Step-by-step explanation:

Because this is clearly a triangle, the total number of degrees all the angles add up to is 180 degrees. In this scenario, we have [tex]x+(8x-4)+77=180[/tex]

Combining like terms, we have [tex]9x-4+77=180[/tex]

Combining like terms again, we have [tex]9x+73=180[/tex]

Subtracting 73 on both sides, we have [tex]107=9x[/tex]

Dividing by 9 on both sides, we have [tex]x = 11 \frac{8}{9}[/tex]

Plugging back into BC = 8x - 4, we have [tex]\frac{856}{9} - 4[/tex]

Combining like terms, we have [tex]\frac{820}{9}[/tex], which is [tex]91 \frac{1}{9}[/tex]

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