Ok so to find which sides are congruent we need to know their lengths.
To find the length we need the distance formula between two point ->
√(X2-X1)∧2 +(Y2-Y1)∧2
Ok lets find the first side PQ
P(-1,3) Q(2,-1)
X1 Y1 X2 Y2
√(2-(-1)∧2 + (-1-3)∧2 = 5
Now PR
P (-1,3) R (5,3)
X1 Y1 X2 Y2
√(5-(-1))∧2 + (3-3)∧2) = 6
Now the last side QR
Q (2, -1) R (5,3)
X1 Y1 X2 Y2
√(5-2)∧2 + (3-(-1))∧2 = 5
From the above work we see that PQ and QR are congruent becuase they are equal PQ=QR
Also the opposite angles of these sides are congruent. Hope this helps :).
Answer:
6.384 rounded to one decimal place is 6.4
Step-by-step explanation:
These two lines are congruent (the same) so we can set them equal to each other and solve.
5x-4=3x+6
The first thing we need to do is subtract 3x from both sides leaving us with 2x-4=6
Now we can add 4 to both sides leaving us with 2x=2
Now we need to divide both sides by 2 to get x alone.
Giving us our final answer of x=1
Answer:
the area of the shape is 7.14
Step-by-step explanation:
First, find the area of the square:
2 in x 2 in = 4 in
then to find the area of the semi- circles add them together to make a circle
To find the area of the circle, use:
pi x radius^2
Since the diameter is 2 divide the diameter by 2 to get radius
3.14 x 1^2 = 3.14
The circle is 3.14 plus 4 ( the square ) = 7.14
Answer:
Step-by-step explanation:
Given the expression:
First, we open the outer brackets
Therefore:
