Answer:
The quadrilateral is a parallelogram because it has one pair of opposite sides that are both congruent and parallel ⇒ 2nd answer
Step-by-step explanation:
The formula of a distance between two points is
The formula of a slope of a line is 
∵ L (-4 , -4) and M (-1 , -5)
∴
= -4 and
= -1
∴
= -4 and
= -5
- Use the formula of the distance to find LM
∵
∴ LM = 
∵ J (1 , 2) and K (-2 , 3)
∴
= 1 and
= -2
∴
= 2 and
= 3
- Use the formula of the distance to find JK
∵
∴ JK = 
- ML and JK have equal lengths
∴ LM ≅ JK
Use the formula of the slope to find the slopes of LM and JK
∵ 
∴ 
∵ 
∴ 
- ML and JK have same slopes
∴ LM // JK
∵ LM and JK are opposite sides in the quadrilateral
∵ LM ≅ JK
∵ ML // Jk
- Two opposite sides in the quadrilateral JKLM are congruent
and parallel
∴ JKLM is a parallelogram
The quadrilateral is a parallelogram because it has one pair of opposite sides that are both congruent and parallel
2/5 x 10 + 3 x 6
= 4 + 18
= 22
Answer:
(0,3)
y=3
x=0
Step-by-step explanation:
x+5y=15
-3x+2y=6
solve the equation
x=15-5y
-3x+2y=6
substitute the value of x into an equation
-3(15-5y)+2y=6
distribute
-45-15y+2y=6
add 15 to 2
-45-17y=6
add 45 from both sides
17y=51
divide both sides by 17
y=3
substitute the value of y into an equation
x=15-5•3
multiply 5 to 3
x=15-15
subtract
x=0
(0,3)
You rounded your number to the 100,000's (hundred thousands)
Answer:
s = 41 cm
Step-by-step explanation:
Since all the sides on a square are equal, we can use this formula for perimeter: P = 4s
Plugging in 164 gives us 164 = 4s, where solving for s gives us s = 41