Answer:
15
Step-by-step explanation:
Answer:
Distance between the points Q and R is 1 unit while the distance between the points R and S is 3 units
Step-by-step explanation:
Here, we want to use the absolute value of the coordinates to find the distances.
Since we are using absolute values, the negative points becomes positive;
Thus;
Q = (4,2)
R = (3,2)
S = (3,5)
Mathematically, the distance between two points in the Cartesian plane can be calculated using the formula;
D = √(x2-x1)^2 + (y2-y1)^2
The distance QR is thus;
D = √(3-4)^2 + (2-2)^2
D = √(-1)^2 + 0
D = √1 = 1 unit
The distance RS is thus;
D = √(3-3)^2 + (5-2)^2
D = √(0) + (9)
D = √9 = 3 units
The complete flow proof is:
- <em />
<em> ---- Given</em> - <em> </em>
<em> ---- Given</em> - <em />
<em> ----- </em>
<em> and </em>
<em> are supplementary angles</em> - <em /><em> ----- </em><em> and </em><em> are same-side interior angles</em>
- <em />
<em> ----- Proved</em>
We have:
<u>The proof of </u><u> is as follows:</u>
The first statement is:
---- Given
The next statement is:
---- Given
Supplementary angles add up to 
.
So, the third statement is:
----- and are supplementary angles
Same side of interior angles add up to .
So, the fourth statement is:
----- and are same-side interior angles
Because the angles are supplementary angles and also same-side interior angles, then it means that <em>line a is parallel to line b</em>
So, the last statement is:
----- Proved
Read more about proofs of parallel lines at:
brainly.com/question/18396272
