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STALIN [3.7K]
3 years ago
13

In the figure below, m∠1 = x and m∠2 = x - 8. Which statement could be used to prove that x = 49?

Mathematics
1 answer:
poizon [28]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

∠ 1 + ∠ 2 = 90, that is

x + x - 8 = 90

2x - 8 = 90 ( add 8 to both sides )

2x = 98 ( divide both sides by 2 )

x = 49

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Answers -

statement B, D, E are correct .

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2 years ago
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Answer:

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Suppose a parabola has vertex (6,5) and also passes through the point (7,7). Write the equation of the parabola in vertex form.
jek_recluse [69]

Answer:

Choice B: y = 2\, (x - 6)^{2} + 5.

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For a parabola with vertex (h,\, k), the vertex form equation of that parabola in would be:

\text{$y = a\, (x - h)^{2} + k$ for some constant $a$}.

In this question, the vertex is (6,\, 5), such that h = 6 and k = 5. There would exist a constant a such that the equation of this parabola would be:

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The next step is to find the value of the constant a.

Given that this parabola includes the point (7,\, 7), x = 7 and y = 7 would need to satisfy the equation of this parabola, y = a\, (x - 6)^{2} + 5.

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