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3 years ago

Explain which theorems definitions or combinations of both can be used to prove that alternate exterior angles are congruent

Mathematics

2 answers:

My name is Ann [436]3 years ago

8 0

Answer:

You can prove that and are congruent using the same method. The converse of this theorem is also true; that is, if two lines and are cut by a transversal so that the alternate exterior angles are congruent.

Step-by-step explanation:

Licemer1 [7]3 years ago

6 0

Answer:

As mentioned in the explanation steps.

Step-by-step explanation:

The following theorem is helpful to prove that the alternate exterior angles are congruent.

If two lines lie in the same plane and parallel to each other. A traversal line intersect these parallel lines at different points, then the alternate exterior angles must be same.

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Given the points (5, 2) and (7, 10) find the slope of the line going through the two points . Now write the point-slope form of

drek231 [11]

Step-by-step explanation:

the slope of a line is specified as the ratio y/x. that indicates how many units y changes, when x changes a certain amount of units.

so, going e.g. from (5, 2) to (7, 10), x changes from 5 to 7 = +2 units. and y changes from 2 to 10 = +8 units.

so, the slope y/x = m = 8/2 = 4

the point-slope form is

y - y1 = m(x - x1)

m = slope

(x1, y1) = coordinates of one point on the line. let's pick the first point (5, 2).

y - 2 = 4(x - 5)

or then fully simplified (leading to the slope- intercept form) :

y - 2 = 4x - 20

y = 4x - 18

for question 2 we do the same thing for (4, -2) and (0, -5).

x changes from 4 to 0, so, -4 units.

y changes from -2 to -5, so, -3 units.

slope = y/x = m = -3/-4 = 3/4

since there is a 0 included, let's use (0, -5) as point for the point-slope form

y - -5 = 3/4(x - 0)

y + 5 = 3/4 x

so, the last option is correct.

3 0

2 years ago

Selectie correct answer.

denis-greek [22]

Answer:

OD.0

Step-by-step explanation:

because 2(X+4)-1 = 2x+7

or, 2x+8-1 = 2x+7

or, 2x+7= 2x+7

and it cancels out eachother so it will be 0

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3 years ago

Given a term in the geometric sequence and the common ratio find the first five terms the explicit form and the recursive formul

Pani-rosa [81]

A1 = 4
a2 = 5a1 = 5 x 4 = 20
a3 = 5a2 = 5 x 20 = 100
a4 = 5a3 = 5 x 100 = 500
a5 = 5a4 = 5 x 500 = 2,500

Tn = ar^(n-1); where a = 4, r = 5
Tn = 4(5)^(n-1) = 4/5 (5)^n
Explicit formular is Tn = 4/5 (5)^n

Recursive formular is $a_{n+1} = 5a_{n-1}$

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3 years ago

Question 1 options: 13.5 12 13 11

ki77a [65]

Answer: 13

nothing in between 13

Down below