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Finger [1]
4 years ago
9

What is the measure of 3?

Mathematics
1 answer:
mafiozo [28]4 years ago
5 0

Answer:

∠3 = 60°

Step-by-step explanation:

Since g and h are parallel lines then

∠1 and ∠2 are same side interior angles and are supplementary, hence

4x + 36 +3x - 3 = 180

7x + 33 = 180 ( subtract 33 from both sides )

7x = 147 ( divide both sides by 7 )

x = 21

Thus ∠2 = (3 × 21) - 3 = 63 - 3 = 60°

∠ 2 and ∠3 are alternate angles and congruent, hence

∠3 = 60°

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Step-by-step explanation:

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3 years ago
Which statement accurately explains whether a reflection over the X-axis and a 180° rotation would map figure ACB onto itself?​
Arlecino [84]

Using transformation rules, it is found that the correct option is:

No, A'C'B' is located at A(-1,1), C'(-3,4) and B'(-5,1).

--------------------

  • The transformation rule for a reflection over the x-axis is (x,y) \rightarrow (x,- y)
  • The transformation rule for a rotation of 180º is (x,y) \rightarrow (-x,-y)

  • After the reflection over the x-axis: (x,y) \rightarrow (x, -y)
  • Taking the reflection, and rotating: (x,-y) \rightarrow (-x, -(-y)) = (-x,y).
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  • A(1,1) would be mapped to A(-1,1), for example, thus, the correct option is:

No, A'C'B' is located at A(-1,1), C'(-3,4) and B'(-5,1).

A similar problem is given at brainly.com/question/10547006

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2 years ago
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Find the measure of arc YWX.<br> 1350<br> 650
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9514 1404 393

Answer:

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Step-by-step explanation:

The feasible region is the doubly-shaded area in the lower left corner of the first quadrant. It is a quadrilateral, so has 4 vertices. Those are the vertices of the feasible region:

  (0,0)

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<em>Additional comment</em>

The objective function has positive slope, so the point (4, 0) will maximize it, and the point (0, 3) will minimize it.

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B would be the closest answer including tax
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