In the figure below, AB=AE, AC=AD and AP is perpendicular to BE. Prove that BC=DE.
1 answer:
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Answer:
A)
B) - 5
C) Not Possible
D) 5
E)
- Step-by-step explanation:
- All integers are rational numbers. But not all rational numbers are integers.
- All whole numbers are integers. But not all integers are whole numbers.
I am a rational number but not an integer. Located on the right of 0.
This means that it should be a positive number. Since, it is a rational number but not an integer, it should be of the form .
From, the options would fit this description.
I am a rational number and an integer but not a whole number.
This means that it should be a negative integer. Since, all positive integers and zero would be whole numbers. From the options, the answer would be -5.
I am a whole number but not an integer.
This is clearly not possible because all whole numbers are a subset of integers.
I am a rational number, a whole number and an integer.
This means it is a positive integer. 5 would fit this description.
I am a rational number but not an integer; located on the left side of 0.
This means it is a negative number. should be the answer.
Answer:
The distance of the restaurant from the man and woman = 312.5 m
Option C is correct.
A distância do restaurante do homem e da mulher = 312,5 m
A opção C está correta.
Step-by-step explanation:
English Translation
A man is located 300 m from a linear (straight) road. On that road his wife is located 500 m from the man. Both walk towards a restaurant that is on the road and is the same distance from the two. What is this distance in meters?
A) 400m
B) 300m
C) 312.5m
D) 325m
E) 87.5m
Solution
A diagram showing the scenario described, is presented the attached image.
From the attached image, x is the distance of the restaurant from both the man and the woman. So, there are two right angled triangles,
- The bigger one with hypotenuse 500 m and other side 300 m, the third side is calculated as
(Third side)² = 500² - 300² = 160000
Third side = 400 m
- The smaller right angled triangle, with hypotenuse x m and other sides 300 m & (400 - x) m
(400 - x)² + 300² = x²
160000 - 800x - x² + 90000 = x²
800x = 160000 + 90000 = 250000
x = (250000/800) = 312.5 m
Hence, the distance of the restaurant from the man and woman = 312.5 m
In Portugese/Em português
Um diagrama mostrando o cenário descrito é apresentado na imagem em anexo.
Na imagem em anexo, x é a distância do restaurante do homem e da mulher. Então, existem dois triângulos retângulos,
- Quanto maior com hipotenusa 500 me outro lado 300 m, o terceiro lado é calculado como
(Terceiro lado) ² = 500² - 300² = 160000
Terceiro lado = 400 m
- O triângulo angular direito menor, com hipotenusa x me outros lados 300 m & (400 - x) m
(400 - x)² + 300² = x²
160000 - 800x - x² + 90000 = x²
800x = 160000 + 90000 = 250000
x = (250000/800) = 312.5 m
Portanto, a distância do restaurante do homem e da mulher = 312,5 m
Hope this Helps!!!
Espero que isto ajude!!!
