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Andreas93 [3]
2 years ago
5

The image shows a portion of a bridge supported by two vertical pillars built from the points B and C on the slope below. The le

ngth of the bridge between pillar B and pillar C is BLANK feet.

Mathematics
2 answers:
Anna11 [10]2 years ago
8 0

Answer:

The length of the bridge between pillar B and pillar C is 56 feet.

Here's the answer from the plato.

dalvyx [7]2 years ago
4 0
In order to find the length of ?? (let's call this distance x), let's first find the value of Angle A. 

The cosin of Angle A is Adjacent / Hypotenuse, or 40 / 50. Using this Info:
cos (A) = 40/50
cos (A) = .8

With this crucial piece of info, we can find the Total length of A-D (Point D being the point above C), by finding its relation to side AC (length of 50 + 70 =120 ft)
Cos (A) = adjacent / hypotenuse
Cos (A) = AD / (120)                                 We know that cos (A) = .8
.8 = AD / (120)                                          Multiply both sides by 120
96 = AD

We're almost there! Remember that we're trying the find x (?? in the diagram).

x + 40 = 96 
x = 56 ft 
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  1. addition property of equality
  2. integers are closed to addition
  3. identity element
  4. multiplication property of equality
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Step-by-step explanation:

<u>Given</u>:

  c/2 -5 = 7

  Step 1: c/2 -5 +5 = 7 +5

  Step 2: c/2 +0 = 12

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  Step 4: 2(c/2) = 12(2)

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<u>Find</u>:

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  Step 1: addition property of equality (lets you add the same to both sides)

  Step 2: integers are closed to addition

  Step 3: identity property of addition (adding 0 changes nothing)

  Step 4: multiplication property of equality

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_____

It is hard to say what "property" you want to claim when you simplify an arithmetic expression. Above, we have used the property that the sets of integers and real numbers are closed to addition and multiplication. That is, adding or multiplying real numbers gives a real number.

In Step 5, we can rearrange 2(c/2) to c(2/2) using the commutative property of multiplication. 2/2=1, and c×1 = c. The latter is due to the identity element for multiplication: multiplying by 1 changes nothing.

Apart from the arithmetic, the other properties used are properties of equality.  Those let you perform any operation on an equation, as long as you do it to both sides of the equation. The operations we have performed in this fashion are adding 5 and multiplying by 2.

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