Which fact would help you to solve for x in the diagram shown?

Mathematics

1 answer:

Gnoma [55]2 years ago

5 0

Answer:

(A) Angles in equilateral triangle are congruent

Step-by-step explanation:

From the figure, it can be seen that in triangle ABD, $AB=BD=AD$ which means that all the sides of the triangle are congruent and by the definition of equilateral triangle, ΔABD will be an equilateral triangle.

Therefore, Using the property that Angles in equilateral triangle are congruent, we can find the value of x.

Thus, option A is correct.

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Solve the quadratic equation by factoring: 15x^2+4x-4=0

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We can factor by grouping. To do so, we multiply the leading coefficient with the constant at the end. In other words, a times c (ax^2 + bx + c).

15*-4 = -60

Now we need to split the b term into two pieces that multiply to -60 and add to 4.

-6 and 10 will work.

Now group one part of b with the 15x^2 and the other part with -4.

(15x^2 + 10x) + (-6x - 4)

Now factor both terms.

5x(3x+2) - 2(3x+2)

3x+2 is one of our factors and 5x-2 is the other.

(3x+2)(5x-2)=0

Now just find the zeros.

3x+2 = 0
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And

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5x = 2
x = 2/5

So the answer is x = -2/3 and x = 2/5

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