7 3/4 - 1 2/7 - 3/2 = ?

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.

7 0

3 years ago

Read 2 more answers

60 POINTS FOR THE THISS!!!

Goryan [66]

Yes because they are constant throughout the table.

4 0

2 years ago

Read 2 more answers

Find and simplify each of the following for

WINSTONCH [101]

Answer:

(A) f(x + h) = 4x² + 8xh + 4h² - 6x - 6h + 6

(B) f(x + h) - f(x) = 8xh + 4h² - 6h

(C) $\frac{f(x+h)-f(x)}{h}=8x+4h-6$

Step-by-step explanation:

* Lets explain how to solve the problem

- The function f(x) = 4x² - 6x + 6

- To find f(x + h) substitute x in the function by (x + h)

∵ f(x) = 4x² - 6x + 6

∴ f(x + h) = 4(x + h)² - 6(x + h) + 6

- Lets simplify 4(x + h)²

∵ (x + h)² = (x)(x) + 2(x)(h) + (h)(h) = x² + 2xh + h²

∴ 4(x + h)² = 4(x² + 2xh + h²) = 4x² + 8xh + 4h²

- Lets simplify 6(x + h)

∵ 6(x + h) = 6(x) + 6(h)

∴ 6(x + h) = 6x + 6h

∴ f(x + h) = 4x² + 8xh + 4h² - (6x + 6h) + 6

- Remember (-)(+) = (-)

∴ f(x + h) = 4x² + 8xh + 4h² - 6x - 6h + 6

* (A) f(x + h) = 4x² + 8xh + 4h² - 6x - 6h + 6

- Lets find f(x + h) - f(x)

∵ f(x + h) = 4x² + 8xh + 4h² - 6x - 6h + 6

∵ f(x) = 4x² - 6x + 6

∴ f(x + h) - f(x) = 4x² + 8xh + 4h² - 6x - 6h + 6 - (4x² - 6x + 6)

- Remember (-)(-) = (+)

∴ f(x + h) - f(x) = 4x² + 8xh + 4h² - 6x - 6h + 6 - 4x² + 6x - 6

- Simplify by adding the like terms

∴ f(x + h) - f(x) = (4x² - 4x²) + 8xh + 4h² + (- 6x + 6x) - 6h + (6 - 6)

∴ f(x + h) - f(x) = 8xh + 4h² - 6h

* (B) f(x + h) - f(x) = 8xh + 4h² - 6h

- Lets find $\frac{f(x+h)-f(x)}{h}$

∵ f(x + h) - f(x) = 8xh + 4h² - 6h

∴ $\frac{f(x+h)-f(x)}{h}=\frac{8xh + 4h^{2}-6h}{h}$

- Simplify by separate the three terms

∴ $\frac{f(x+h)-f(x)}{h}=\frac{8xh}{h}+\frac{4h^{2} }{h}-\frac{6h}{h}$

∴ $\frac{f(x+h)-f(x)}{h}=8x+4h-6$

* (C) $\frac{f(x+h)-f(x)}{h}=8x+4h-6$

4 0

2 years ago

A 18 foot ladder is leaning against a wall as shown

Inga [223]

I'm guessing the diagram shows a ladder leaning against a wall, making a right angle triangle with respect to the ground and the wall.

So, the wall's height is going to be the 'h', which will also be the 'opposite side' from the angle ϴ which is made from the ladder and the ground.
The ladder's length (18 foot) is going to be the 'hypotenuse' side and the other remaining side will be the 'adjacent'.

Now, once you've sorted out which side is which, we have to find the h (opp), and according to SOH CAH TOA, we will choose Sinϴ = opp/hyp.
so Sinϴ = h/18....now we gotta find h, so 'cross multiply' the equation to get h = 18 x sinϴ.

To find angle ϴ, simply take the inverse of Sinϴ= h/18... and you'll get ϴ = sin-1 (sin inverse) h/18

Hope this helps

6 0

3 years ago

Help plz WILL MARK Brainlyest

Alex17521 [72]

Answer:

11/12

Step-by-step explanation:

7/6= 14/12

8/6= 16/12

the number in between the two is 15/12 then it already shows you what to subtract by (4/12) so 15/12-4/12=11/12

8 0

2 years ago