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Andreyy89
3 years ago
9

Can anyone solve the 8th question given below??? Urgent!!

Mathematics
1 answer:
Dafna1 [17]3 years ago
8 0

Answer:

AY = 10 cm.

Step-by-step explanation:

Given that, ΔABC is similar to ΔAXY

and \frac{AB}{AX }  = \frac{5}{3}

⇒  \frac{AC}{AY }  =  [tex]\frac{BC}{XY } = \frac{5}{3}

⇒ BC = XY× \frac{5}{3}[/tex] =  \frac{20}{3}[/tex] (as XY = 4 cm given)

Now, check the attached figure,

given, BY bisects ∠XYC

let ∠XYB = ∠BYC = x

⇒ ∠AYX = 180-2x (angle on a straight line)

and also ∠AYX = ACB (similar triangle properties)

⇒ ∠ACB = 180-2x

Now, sum of angles in ΔBYC = 180°

⇒ ∠YBC = x

⇒ BC = YC (as two sides of equal angles are equal in a triangle)

⇒ YC =  \frac{20}{3}[/tex]

And also \frac{AC}{AY }  = \frac{5}{3}

AC = AY + YC

⇒ \frac{AY+YC}{AY }  = \frac{5}{3}

⇒ \frac{AY+\frac{20}{3}}{AY }  = \frac{5}{3}[/tex]

⇒ 5AY = 3AY + 20

⇒ AY = 10 cm

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Answer:

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Step-by-step explanation:

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HELP QUICK PLEASE!! WILL GIVE BRAINLIEST ANSWER
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3 years ago
Whats its the result Of 25099.506/4.45?
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\dfrac{25099.506}{4.45} \ \text{Divide} 

<span>Shift the decimal points of both 25099.506 and 4.45 to the right by 2 decimal places. 
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<span>(This is needed to convert 4.45 to 445, since long division must divide by a whole number.) 
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\text{Set up the long division.}&#10;

\text{Calculate 2509 divided by 445, which is 5 with a remainder of 284.}
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</span>\text{ Bring down 9, so that 2849 is large enough to be divided by 445.}

\text{Calculate 2849 divided by 445, which is 6 with a remainder of 179.} &#10;

\text{Bring down 5, so that 1795 is large enough to be divided by 445.}

\text{Calculate 1795 divided by 445, which is 4 with a remainder of 15.}

\text{Bring down 06, so that 1506 is large enough to be divided by 445.&#10;}

\text{Calculate 1506 divided by 445, which is 3 with a remainder of 171.}

\text{Bring down 0, so that 1710 is large enough to be divided by 445.}

\text{Calculate 1710 divided by 445, which is 3 with a remainder of 375.}

\text{Bring down 0, so that 3750 is large enough to be divided by 445.}

\text{Calculate 3750 divided by 445, which is 8 with a remainder of 190.}

\text{Bring down 0, so that 1900 is large enough to be divided by 445.}

\text{Calculate 1900 divided by 445, which is 4 with a remainder of 120.}

\text{Bring down 0, so that 1200 is large enough to be divided by 445.}

\text{Calculate 1200 divided by 445, which is 2 with a remainder of 310.}

<span>Therefore, 25099.506 ÷ 4.45 ≈ 5640.33842</span>

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3 years ago
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