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Effectus [21]
2 years ago
10

Determine whether the triangles are congruent by AA., SSS, SAS, or not similar.

Mathematics
1 answer:
klemol [59]2 years ago
6 0

Step-by-step explanation:

they are similar by AA .

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Answer:

Second option

Third option

Fourth option

Step-by-step explanation:

We have the following quadratic function

f(x) =(x-1)(x+7)

Use the distributive property to multiply the expression

f(x) =x^2+7x-x-7

f(x) =x^2+6x-7

For a function of the form f (x) = ax ^ 2 + bx + c the x coordinate of the vertex is:

x =-\frac{b}{2a}

Then in this case the coordinate of the vertex is:

x =-\frac{6}{2(1)}

x =-3

To obtain the y coordinate of the vertex we evaluate the function at x = -3

f(-3) =(-3)^2+6(-3)-7

f(-3) =9-18-7

f(-3) =-16

Then the vertex is:  (-3, -16)

We can see in the graph that the zeros of the function are x=1 and x=-7

Then the function is decreasing from -∞ to -3 and then it is increasing from -3 to ∞

The function is positive for x and x> 1

The correct answers are:

Second option

Third option

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3 years ago
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Sveta_85 [38]
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