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1 answer:
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Answer:
The length of each side of the city is 250b
Step-by-step explanation:
Given
--- tree distance from north gate
--- movement from south gate
--- movement in west direction from (b)
See attachment for illustration
Required
Find x
To do this, we have:
--- similar triangles
So, we have the following equivalent ratios
Where:
Substitute these in the above equation
Express as fraction
Cross multiply
Open bracket
Rewrite as:
Expand
Factorize
Factor out x + 284
Split
Solve for x
x can't be negative;
So:
The first mistake of Ana is sum of interior is 180° that is given by the definition. Then the correct option is A.
The statements, reasons, and options are attached below.
<h3>What is the triangle?</h3>A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
Linear angle – If the total of two angles is 180 degrees, they are said to be linear angles.
Ana tried to prove that an exterior triangle angle measure equals the sum of the measures of the two interior angles not adjacent to it.
∠1 + ∠2 + ∠3 = 180° (By definition of triangle)
∠3 + ∠4 = 180° (By definition of linear angle)
∠1 + ∠2 + ∠3 = ∠3 + ∠4 (Substitution)
∠1 + ∠2 = ∠4 (Subtraction on both side by ∠3)
The first mistake of Ana is sum of interior is 180° that is given by the definition.
Then the correct option is A.
More about the triangle link is given below.
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