A polygon has the following coordinates: A(3,1), B(5,3), C(2,5), D(-1,5), E(-4,3), F(-2,1). Find the length of DC.
nlexa [21]
To find the length of a line given two points, we are going to use the distance formula, which is defined below:

(
and
are the two points)
The points in this problem are (2, 5) and (-1, 5). We can find the distance of DC by substituting these values into the distance formula and simplifying, as shown below:

- Substitute values into formula

- Combine like terms and then simplify
to 0

- Compute


- Compute

The length of DC is 3.
X=15
expand the brackets and collect like terms so 6x+15=7x
then -6x to get x=15
Answer:
x° = 61°
Step-by-step explanation:
Both of the "unknown" angles in the triangle are equal, since their opposite sides have equal lengths. (The triangle is isosceles.) The sum of angles in a triangle is 180°, so we have ...
58° + x° + x° = 180°
2x° = 122° . . . . subtract 58°, collect terms
x° = 61° . . . . . . . divide by 2
Answer:
1,897
Step-by-step explanation: