Which pair of triangles can be proven congruent by the HL theorem

Mathematics

2 answers:

Lelu [443]2 years ago

7 0

Answer: Third pair

Step-by-step explanation:

The HL theorem says that if the hypotenuse and a leg of one right triangle are equal to the hypotenuse and a leg of another right triangle, then the triangles are said to be congruent.

From the given pictures only third pair of triangles have hypotenuse and one leg are equal.

Then by HL theorem, the triangles in third pair are congruent.

lys-0071 [83]2 years ago

4 0

third one is your answer

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Which polynomial function could be represented by the graph below?

Svetllana [295]

Note that

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The x-intercepts are at points x=-3, x=0, x=2. The graph should be increasing - decreasing - increasing.

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The x-intercepts are at points x=-2, x=0, x=3. The graph should be increasing - decreasing - increasing.

$f(x)=-2x^3-2x^2+12x=-2x(x^2+x-6)=-2x(x-2)(x+3)$

The x-intercepts are at points x=-3, x=0, x=2. The graph should be decreasing - increasing - decreasing.

$f(x)=-2x^3+x^2+12x=-2x(x^2-x-6)=-2x(x+2)(x-3)$

The x-intercepts are at points x=-2, x=0, x=3. The graph should be decreasing - increasing - decreasing.

From the diagram you can see that x-intercepts are at points x=-3, x=0, x=2 and the graph is decreasing-increasing-decreasing.

Answer: correct choice is 3.

7 0

2 years ago

Read 2 more answers

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strojnjashka [21]

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