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3 years ago

Tell whether the relation is a function (3,-2)(0,1)(1,0)(-2,-1)(2,-1)

2 answers:

8 0

Have a look at the first elements of each point: {3, 0, 1, -2, 2}. Since these are all different, no one x value has more than one y-value associated with it, and thus (3,-2)(0,1)(1,0)(-2,-1)(2,-1) is a function.

telo118 [61]3 years ago

3 0

answer: it's a function

explanation: the reason why it's a function is when the x's are NOT repeating itself. when it's not a function, it the x's ARE repeating itself.

hope this helps! ❤ from peachimin

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Given that m angle G- 81", what is m angle I? A)81" B)89 C)91 D)99

seraphim [82]

Answer:

$\text{D) }99^{\circ}$

Step-by-step explanation:

Define a cyclic quadrilateral by a quadrilateral that is circumscribed by a circle. In this case, since the quadrilateral shown is circumscribed by a circle, it is a cyclic quadrilateral.

A property of all cyclic quadrilaterals is that their opposite angles are supplementary, meaning they add up to 180 degrees. Since $\angle G$ and $\angle I$ are opposite angles in the quadrilateral, they must be supplementary. Therefore, we have the equation:

$\angle G+\angle I=180,\\81^{\circ}+\angle I=180,\\\angle I=180-81=\boxed{99^{\circ}}$

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3 years ago

Read 2 more answers

Find the value of each variable.

Harrizon [31]

Step-by-step explanation:

b is per the identity of angles on parallel lines when intersected by one inclined line the same as the 40° angle.

so,

b = 40°

due to the parallel nature of the 2 lines there is a symmetry effect for such shapes inscribed a circle. the upper and the lower triangle must be similar. and when applying a vertical line through the central crossing point, everything to the left is mirrored by everything on the right.

so, angle c must be equal to angle b.

c = 40°

and as the sum of all angles in a triangle is always 180°, d is then

d = 180 - 40 - 40 = 100°

the interior angle of the arc angle a is the supplementary angle of d (together they are 180°), because together with d they cover the full down side of the top-left to bottom-right line.

interior angle to a = 180 - 100 = 80°

due to the symmetry again, the arc angle opposite to a is the same as a.

as we know, the interior angle to a pair of opposing arc angles is the mean value of the 2 angles.

so, we have

(a + a)/2 = 80

2a/2 = 80

a = 80°

there might (and actually should) be some more direct approaches for "a" out of the other pieces of information, but that was the most straight one right out of my mind, and I don't spend time on finding additional shortcuts, when I have already a working approach.

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