Answer:
x =72
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees
x+77+31 = 180
Combine like terms
x + 108 = 180
Subtract 108 from each side
x+108-108 = 180-108
x =72
Answer:
The dimensions of rectangle are:
Width = 16 inches
Length = 106 inches
Step-by-step explanation:
Perimeter of rectangle = 244 inches
Let Width of rectangle = w
Length of rectangle = w+90
We need to find the dimensions (length and width) of the carpet
The formula used will be: 
Putting values and making equation:

So, we get w = 16
The width w = 16 inches
Now, finding length = w+ 90 = 16+90 = 106 inches
Therefore the dimensions of rectangle are:
Width = 16 inches
Length = 106 inches
Answer:
HG = 28
Step-by-step explanation:
The midsegment MN is half the sum of the 2 parallel bases, that is
= MN , that is
= 22 ( multiply both sides by 2 )
HG + 16 = 44 ( subtract 16 from both sides )
HG = 28
Answer:
x/4
Step-by-step explanation:
Answer:

Step-by-step explanation:
