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fiasKO [112]
3 years ago
11

Solve for f. 16/f = 12/9 A.13 B.12 C.11 D.10

Mathematics
2 answers:
barxatty [35]3 years ago
6 0

Answer:

B)12

Step-by-step explanation:

\frac{16}{f}=\frac{12}{9}\\\\16*9=12*f\\\\\frac{16*9}{12}=f\\\\ 4*3=f\\\\f=12

antoniya [11.8K]3 years ago
5 0

Answer: Option B

Step-by-step explanation:

16/f = 12/9

Multiply f on both sides

(16/f) × f = (12/9) × f

16 = (12/9) × f

Now, multiply 9 on both sides

16 × 9 = (12/9) × 9 × f

144 = 12 × f

Now, divide both sides by 12

144/12 = (12/12) × f

12 = f

f = 12

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And here is the other one.
LUCKY_DIMON [66]
Since BD bisects angle ABC, that means angle ABD and angle CBD are equal to each other. With that set up the equation to solve for x like this:

-4x+33 = 2x+81
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————————
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————- (divide by -6)
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x = -8


Now substitute that to ABD
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=65

Finally angle ABC will be double the amount of ABD or CBD so 65 times 2 is 130.

ANSWERS: (angles)
ABD and CBD: 65
ABC: 130

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