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Orlov [11]
3 years ago
13

Which of the following is true of the values of x and y in the diagram below?

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

Answer: y/x = 1

Step-by-step explanation:

It was on quizlet

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Triangle ABC is congruent to A'BC' by the HL theorem What single rigid transformation maps ABC onto A'BC'?
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A rectangle flower bed is 9 feet wide and 12 feet long .what is the length of the diagonal?​
BigorU [14]

Answer:

15 feet

Step-by-step explanation:

The question talks about;

  • A rectangular flower bed whose dimensions are 12 ft by 9 ft

We are required to determine the length of the diagonal

To answer the question, we need to know the following;

  • All the angles in a rectangle are right angles
  • A diagonal divides a rectangle into two right-angled triangles
  • The dimensions of the rectangle acts as the legs of right angled triangle.

Therefore;

Using Pythagoras theorem;

a² + b² = c²

Where, c is the hypotenuse (in this case the diagonal)

a and b are the shorter sides of the right-angled triangle

Therefore;

c² = 12² + 9²

c² = 144 + 81

   = 225

c = √225

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Therefore, the length of the diagonal is 15 feet

5 0
3 years ago
Carl is boarding a plane. He has 2 checked bags of equal weight and a backpack that weighs 4 kg. The total weight of Carl's bagg
aniked [119]
<span>Carl has 3 bags in total. One backpack weighs 4 kg and the rest two checking bags have the equal weight. The total weight of 3 bags is given to be 35 kg.

Let the weight of each checking bag is w kg. So we can write:

2 x (Weight of a checking bag) + Weight of Backpack = 35

Using the values, we get:

2w+ 4 = 35

Using this equation we can find the weight of each checking bag, as shown below.

2w = 31

w = 31/2

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true

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