Similar triangles can be extremely useful in architecture. For example, similar triangles can help represent doors and how far they swing. Also when using shadows that make the triangles you can use them to find the height of an actual object they can be used to construct many architectural designs and monuments for e.g, bridges. You can also determine values that you can’t directly measure. For e.g you. Can measure the length of your shadow and a tree’s shadow on a sunny day.
Answer:
A): f(x) = (x – 1)² + 2
Step-by-step explanation:
The quadratic function, f(x) = (x – 1)² + 2 is in <u>vertex form</u>: y = a(x - h)² + k, where:
- The vertex of the graph is (h,k).
- The value of <em>a</em> determines whether the graph opens up or down. If <em>a</em><em> </em>is <u>positive</u>, the graph opens up and the vertex is its minimum point. If <em>a </em>is <u>negative</u>, then the graph opens down, and the vertex is its maximum point.
- The value of <em>h</em> determines how far left or right the parent function is translated.
- The value of<em> k</em> determines how far up or down the parent function is translated.
The function, f(x) = (x – 1)² + 2, provides the pertinent information that allows us to determine the parabola's <u>minimum value</u>, as the value of <em>a</em> is a <u>positive</u>, which implies that the parabola is <em>upward facing</em>, and the vertex, (1, 2) is the minimum point.
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Answer:
∠E = ∠F = 41°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180
x + x + 98 = 180 ( subtract 98 from both sides )
2x = 82 ( divide both sides by 2 )
x = 41
Hence
∠E = ∠F = 41°
Answer:
F(x) = 17x^2 - 13x + 2
Step-by-step explanation:
