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zalisa [80]
3 years ago
7

Ach one of the following conclusions has been made by children and adults. For which ones can you find a counterexample? (Select

all that apply.)
A) If you triple any number and add 1, the resulting number is always an odd number.
B) If you double any number and add 1, the resulting number is always an odd number.
C) If a figure has four right angles, then it must be a rectangle.
D) If a number is divisible by 2 and by 3, then it is divisible by 6.
E) If you square a number, you get an even number.
Mathematics
1 answer:
FrozenT [24]3 years ago
5 0


A) Yes; counterexample: Tripling 3 and adding one results in the number 10

B) No counterexample possible

C) No counterexample possible

D) No counterexample possible

E) Yes; counterexample: Squaring 7 results in the number 49

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Answer:

12 feet

Step-by-step explanation:

As a  ladder is leaning against a house, it forms right angle triangle. And for right angleΔ, we use Pythagoras theorem.i.e

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Where,

'P' is perpendicular i.e the distance  from the top of the ladder to the ground

'B' is base i.e be the distance from the bottom of the ladder to the house

'H' is hypotenuse i.e 13

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Applying Pythagoras theorem,

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x² + 5x -12x-60=0

x(x+5) -12(x+5)=0

Either : x+5=0 => x=-5

OR: x-12=0 => x=12

We'll choose the positive length.

therefore , The distance from the bottom of the ladder to the house is 12 feet

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