20 pts

Mathematics

1 answer:

geniusboy [140]3 years ago

8 0

Answer:

23.56 length units

Step-by-step explanation:

To calculate the perimeter of a triangle, we need to calculate the length of all the sides, then sum up the lengths.

To calculate each side, we take the differences of the coordinates of consecutive vertices, square, add, and take square-root (Pythagoras theorem).

Side 1: (3,-2), (5, -8)

difference in coordinates=(2,-6), length=sqrt(2^2+6^2) = sqrt(40)

Side 2: (5, -8), (-2,1)

difference in coordinates=(7,-9), length=sqrt(7^2+9^2) = sqrt(130)

Side 2: (-2,1), (3,-2)

difference in coordinates=(5,-3), length=sqrt(5^2+3^2) = sqrt(34)

Perimeter

= sum of sides

= sqrt(40)+sqrt(130)+sqrt(34)

= 6.32+11.40+5.83

= 23.56 approximately

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Give an example for a pair of alternate interior angles, a pair of corresponding angles, and a pair of alternate exterior angles

erastovalidia [21]

Step-by-step explanation:

Consider the provided information.

Consider the figure 1:

We need to give an example of a pair of alternate interior angles, a pair of corresponding angles, and a pair of alternate exterior angles.

Alternate interior angles: If a transversal cuts two parallel line then pair of angles on the inner side of lines but on opposite sides of the transversal are know as the alternate interior angle:

For example: ∠3 and ∠6 are alternate interior angle another pair are ∠4 and ∠5.

Corresponding angles: If a transversal cuts two parallel line then the angles in same corner are called corresponding angles.

For example: ∠1 and ∠5 are corresponding angle another pair are ∠4 and ∠8.

Alternate exterior angles: If a transversal cuts two parallel line then the pair of angles on the outer side of lines but on opposite sides of the transversal are known as the alternate exterior angles.

For example: ∠1 and ∠8 are alternate exterior angle another pair are ∠2 and ∠7.