we know that
The LCD is the LCM (least common multiple) of all the denominators.
we have
So
The LCM of 
is 
,
which is the multiple of the highest power of prime factors from all of the given numbers
therefore
the answer is
Answer:
8. x=-5 and y=7
9. x=-2 and y=0
10. x=-6 and y=-10
11. x=8 and y=-4
12. x=9 and y=-9
13.x=4 and y=10
14. x=5 and y=-7
Step-by-step explanation:
Answer:
180 meters
Step-by-step explanation:
You first need to find the length of each line:
PQ= 75 meters
PR= 60 meters
RQ= 45 meters
You then add all of the sides together.
75 + 60 + 45 = 180
Answer:
83 in.^2
Step-by-step explanation:
The entire polygon consists of a rectangle with length 8 in. and width 5 in., a triangle with base 8 in. and height 7 in., and another triangle with base 5 in. and height 6 in.
The total are is the sum of the area of the rectangle and the two triangles.
area = area of rectangle + area of first triangle + area of second triangle
area = LW + bh/2 (for the first triangle) + bh/2 (for the second triangle)
area = 8 in. * 5 in. + 8 in. * 7 in. / 2 + 5 in. * 6 in. / 2
area = 40 in.^2 + 28 in.^2 + 15 in.^2
area = 83 in.^2
