Answer:
a= 11, b= 12
Opposite angles of parallelogram are equal.
m<D = m<B
9b-2=106°
9b= 108°
b= 12°
Sum of the adjacent angles of a parallelogram = 180°
m<B+m<C = 180°
106°+7a-3=180°
7a = 180°-106°+3
7a=77°
a= 11°
Given:
The width of a rectangle is x centimeters and its length is (x+ 2) cm.
To find:
The expression for the perimeter of the rectangle.
Solution:
We know that, perimeter of a rectangle is

We have,
Width = x cm
Length = (x+2) cm
Putting these values in the above formula, we get




Therefore, the required expression for the perimeter of the rectangle is (4x+4) cm.
Answer:
-2
Step-by-step explanation:
The average rate of change is the slope using the points (0, 10) and (3, 4). The slope is found using the formula 

A . Because one you make the ratio 80:48 you simplify (divide until you can divide anymore ).
Answer: D) 10
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Explanation:
I'm assuming points M and N are midpoints of segments FD and FE respectively. If that's the case, then segment DE is twice as long compared to segment MN. We consider MN to be a midsegment.
So,
DE = 2*(MN)
3x-2 = 2*(x+4)
3x-2 = 2x+8
3x-2x = 8+2
x = 10