Need help!! Name that angle pair gina Wilson 2014

The angle pairs listed in the image can be named according to the special position they occupy when two transversals intersect four straight lines as follows:

Corresponding Angles (to be labelled pink):

Alternate Interior Angles (to be labelled blue):

Alternate Exterior Angles (to be labelled yellow):

Consecutive Interior Angles (to be labelled green):

No Relationship (uncolored):

The following are the special angle pairs that we can observe that are formed when a transversal intersects two straight lines:

Corresponding Angles:

The angles lie in the relative same position along the transversal that intersects each of their lines.

In the image given, the corresponding angles that are formed which are part of the angle pairs listed are:

Alternate Interior Angles:

These are angles formed on opposite side of the transversal but lie within the two lines that are intersected.

In the image given, the alternate interior angles that are formed which are part of the angle pairs listed are:

Alternate Exterior Angles:

These are angles formed on opposite side of the transversal but lie outside the two lines that are intersected.

In the image given, the alternate exterior angles that are formed which are part of the angle pairs listed are:

Consecutive Interior Angles:

These are angles formed on the same side of the transversal but lie within the two lines that are intersected.

In the image given, the consecutive interior angles that are formed which are part of the angle pairs listed are:

No Relationship:

The angles that do not have any special relationship because of their relative positions are -

In summary, the angle pairs listed in the image can be named according to the special position they occupy when two transversals intersect four straight lines as follows:

Corresponding Angles (to be labelled pink):

Alternate Interior Angles (to be labelled blue):

Alternate Exterior Angles (to be labelled yellow):

Consecutive Interior Angles (to be labelled green):

No Relationship (uncolored):

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1) ∠1 and ∠13 No Relationship

2) ∠4 and ∠11 Consecutive Interior Angles

3) ∠1 and ∠16 No Relationship

4) ∠8 and ∠11 Alternate Interior Angles

5) ∠3 and ∠5 Consecutive Interior Angles

6) ∠14 and ∠16 Corresponding Angles

7) ∠1 and ∠3 Corresponding Angles

8) ∠5 and ∠10 Alternate Exterior Angles

9) ∠3 and ∠15 No Relationship

10) ∠4 and ∠5 Alternate Interior Angles

11) ∠6 and ∠13 Consecutive Interior Angles

12) ∠4 and ∠13 No Relationship

13) ∠2 and ∠7 Alternate Exterior Angles

14) ∠4 and ∠12 Corresponding Angles

15) ∠3 and ∠16 Alternate Exterior Angles

16) ∠12 and ∠14 Consecutive Interior Angles

17) ∠7 and ∠15 Corresponding Angles

18) ∠6 and ∠16 No Relationship

19) ∠11 and ∠14 Alternate Interior Angles

20) ∠1 and ∠3 Corresponding Angles

21) ∠1 and ∠11 No Relationship

22) ∠8 and ∠15 Consecutive Interior Angles

23) ∠7 and ∠13 No Relationship

24) ∠1 and ∠14 Alternate Exterior Angles

Step-by-step explanation:

i) Corresponding angles are angles located at similar or equivalent corners of two lines that are crossed by a transversal (a third line)

ii) Alternate interior angles are the angles located on the opposite sides of the transversal of two other lines and are located on the inner portion of the two lines

iii) Alternate exterior angles are the angles on the opposite but outer sides of two lines that are crossed by a third line (called the transversal)

iv) Consecutive interior angles are the angles the same side of the transversal crossing two other lines and on the inside portion of the two lines.

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

his first public project he is asked to create a small scale drawing. the garden is a right triangle with base 25m and height 30m. are you trying to solve for the last side/hypotenuse? the irrational form of the answer would be 5\sqrt{61}