Find the value of y

Mathematics

1 answer:

bulgar [2K]2 years ago

6 0

Answer:

$m\angle y=48^o$

Step-by-step explanation:

we know that

The inscribed angle is half that of the arc comprising

$m\angle y=\frac{1}{2}[96^o]$

$m\angle y=48^o$

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Which of the following is the solution to the following systems of inequalities? (picture included)

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Answer:

C. (see the attachment)

Step-by-step explanation:

Both inequalities include the "or equal to" case, so both boundary lines will be solid. That excludes choices A and D.

The first inequality is plotted the same way in all graphs, so we must look at the second inequality. The relationship of y and the comparison symbol is ...

-y ≥ (something)

If we multiply by -1, we get ...

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This means the solution space will be on or below (less than or equal to) the boundary line. This is the shaded area in graph C. (Graph B shows shading above the line.)

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Further comment

Since the boundary for the second inequality is fairly steep, "above" and "below" the line can be difficult to see. Rather, you can consider the relationship of x to the comparison symbol. For the second inequality, that is ...

x ≥ (something)

indicating the solution space is on or to the right of the boundary line.