Answer:
Scale of the Map = 1 cm to 82 Km
Step-by-step explanation:
25cm is equivalent to 2050Km
Hence 1cm will be equivalent to 2050/25 = 82Km
Answer:

Step-by-step explanation:
The given matrix addition is

We need to find the elements of matrix B.
Let 
Substitute the value of matrix.

After addition of two matrix we get

On equating both sides.






Therefore, the elements of matrix B are
.
Answer:
x = 18
Step-by-step explanation:
We need to find the value of x.
We know that the sum of angles of a triangle is equal to 180°. So, using this property,
2x+1+3x-1+90 = 180
2x+3x = 180-90
5x = 90
x = 18
So, the value of x is equal to 18.
The distance between the windows is not given. I have searched for this question in other sources and came up with 6.5 ft.
6.5 ft = 78 inches
The width of the bookshelf = 77 inches
Hence the book shelf with fit between the windows and still there will be 78-77 = 1 inch of space remaining
Hence the right option is option C
Answer:
44
Step-by-step explanation:
1) we know that opposite sides of a parallelogram are congruent so
4x+28=10x+4
2) subtract 4 on both sides
4x+24=10x
3)subtract 4x on both sides
24=6x
4)divide by 6 on both sides
4=x
5)substitute for x
length of RS =10(4)+4
length of RD=44