2 years ago

Problem

Mathematics

1 answer:

Tanzania [10]2 years ago

7 0

Answer:

$(x^{2} + 2)(x^{2} + 2)\\x^{4} + 2x^{2} + 2x^{2} + 4\\= x^{4} + 4x^{2} + 4\\$

$(x +1)(x + 1)(x^{2} -2x +3) = (x + 1)^{2} (x^{2} -2x +3)$

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Given $dc = 7$, $cb = 8$, $ab = \frac{1}{4}ad$, and $ed = \frac{4}{5}ad$, find $fc$. Express your answer as a decimal.

Pachacha [2.7K]

A ↔ B ↔ C ↔ D ↔ E ↔ F

$\frac{1}{4} AD$ 8 7 $\frac{4}{5} AD$ ???

AB + BC + CD = AD segment addition postulate

$\frac{1}{4} AD$ + 8 + 7 = AD

$\frac{1}{4} AD$ + 15 = AD

AD + 60 = 4AD

60 = 3AD

20 = AD

AB = $\frac{1}{4} AD$ = $\frac{1}{4}(20)$ = 5

DE = $\frac{4}{5}AD$ = $\frac{4}{5}(5)$ = 4

CD + DE + EF = CF segment addition postulate

7 + 4 + EF = CF

11 + EF = CF

Answer: 11 + EF

Note: You did not provide any info about EF. If you have additional information that you did not type in, calculate EF and add it to 11 to find the length of CF.

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