Would any three squares form the sides of a right triangle? Explain.

2 answers:

8 0

The sum of the side lengths of the two smaller squares is equal to the side length of the large square. ... The three squares shown joined at their vertices to form a right triangle.

lara [203]2 years ago

3 0

The sum of the areas would be two small squares so no

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The ratio of boys to girls in Fiona's class is

CaHeK987 [17]

Ratio of boys to girls = 1 : 3

Unknown constant = x

x + 3x = 24

4x = 24

x = 6

No. of girls = 3 x 6 = 18

5 0

2 years ago

Working together, Candice and Ximena painted a fence in 8 hours. Last year, Ximena painted the fence by herself. The year before

makkiz [27]

Answer: Time taken by Ximena to paint the fence alone = 24 hours

Time taken by Candice to paint the fence alone = 12 hours

Step-by-step explanation:

Let x= Time taken by Ximena to paint the fence alone .

Time taken by Candice to paint the fence alone = x-12

As per given , we have

$\dfrac{1}{x}+\dfrac{1}{x-12}=\dfrac{1}{8}\\\\\Rightarrow\ \dfrac{x-12+x}{x(x-12)}=\dfrac{1}{8}\\\\\Rightarrow\ 8(2x-12)=x^2-12x\\\\\Rightarrow\ 16x-96=x^2-12x\\\\\Rightarrow\ x^2-12x-16x+96=0\\\\\Rightarrow\ x^2-28x+96=0\\\\\Rightarrow\ x^2-4x-24x+96=0\\\\\Rightarrow\ x(x-4)-24(x-4)=0\\\\\Rightarrow\ (x-4)(x-24)=0\\\\\Rightarrow x=4, 24$