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3 years ago

Write the fraction in simplest from 8/10

Mathematics

2 answers:

AleksandrR [38]3 years ago

7 0

Divide common factors from both numerator and denominator.

Divide 2

8/2 = 4

10/2 = 5

8/10 simplified = 4/5

hope this helps

Sladkaya [172]3 years ago

5 0

Hi,

Answer:4/5

My work: This problem can be easily achieved by dividing the fraction 8/10 by 2.(8\10 / 2) When you do this you get the answer 4/5. To do this problem correctly you must divide not reduce and divide 8/2 and 10/2 this gets you the answer 4/5.

I Hope I Helped!

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3 years ago

12 (2 -2)+32 = (x +6) +2

Anestetic [448]

Answer: x = 24

Step-by-step explanation:

Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.

Step 1: Remove parentheses.

12 (2 − 2) + 32 = $x$ + 6 + 2

Step 2: Simplify 2 − 2 to 0.

12 × 0 + 32 = $x$ + 6 + 2

Step 3: Simplify 12 × 0 to 0.

0 + 32 = $x$ + 6 + 2

Step 4: Simplify 0 + 32 to 32.

32 = $x$ + 6 + 2

Step 5: $x$ + 6 + 2 to $x$ + 8.

32 = $x$ + 8

Step 6: Subtract 8 from both sides.

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Step 7: Simplify 32 − 8 to 24.

24 = $x$

Step 8: Switch sides.

$x$ = 24

~I hope I helped you! :)~

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3 years ago

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Answer:

Length of DE is : 18√2 units

Step-by-step explanation:

The length of a side of a triangle is 36.

To calculate : The length of the segment DE

Now, the two parts of triangle have equal area ∴ Area(ADE) = Area(BDEC)

$\implies Area(ADE)=\frac{1}{2}\times Area(ABC) \\\\\implies \frac{Ar(ADE)}{Ar(ABC)}=\frac{1}{2}$

In ΔABE and ΔABC,

∠A = ∠A (Common angles)

∠ABE = ∠ABC (Corresponding angles are always equal)

By AA postulate of similarity of triangles, ΔABE ~ ΔABC.

Hence by area side proportionality theorem

$\frac{Ar(ADE)}{Ar(ABC)}=(\frac{DE}{BC})^2\\\\\implies \frac{1}{2}=\frac{DE^2}{36^2}\\\\\implies DE^2=\frac{36^2}{2}\\\\\bf\implies DE=18\sqrt{2}\textbf{ units}$

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