So,
(9 - 11) - (2 2/3 +6 1/3)
-2 - 10
-12
The change was of -12.
(The parentheses weren't needed, i just put 'em there)
Answer: Q and W are similar but not congruent
Step-by-step explanation:
From the given graph, The length of rectangle Q= 5 units
and the width of rectangle Q=2 units
The length of rectangle S= 5 units
and the width of rectangle S=2 units
Since the dimensions of rectangle Q is equals to the corresponding dimensions of the rectangle S and since all the angles of rectangle are right angles.
therefore, Q and S are similar and congruent as they have the same shape and the same size.
But The length of rectangle W= 10 units = 2 times length of Q
and the width of rectangle W=4 units= 2 times width of Q
Thus the dimensions of W is proportional to dimensions of Q.
Thus, Q and W are similar but not congruent.
Answer:
I think It is 8 as well, but not sure
Step-by-step explanation:
Area of square = s^2
Area of Rectangle = lw
l = 2s
w+3 = s
solve for w, w=s-3
Now we have l and w.
Plug both into area of rectangle formula so: (2s)(s-3)
Since both areas are equal set both equations equal to each other:
(2s)(s-3)=s^2
Now simplify
2s^2-6s=s^2
s^2-6s=0, Solve for s.
Factor polynomial. s(s-6)=0 , s can be equal to 0 or 6. HOWEVER, you cannot have a side length of 0 therefore the side length has to be 6.
Now plug in s for the length formula for the rectangle:
l = 2s so... l = 2(6) so length of rectangle = 12.
Now plug in s for the width formula for the rectangle:
w+3=s so... w+3=6 so width of rectangle = 3.
Now the dimensions of the rectangle are 12 by 3. 12 being length and 3 width.
To CHECK:
Find area of rectangle:
A=lw so A=3 times 12 so A=36
Find area of square:
We know the side is equal to 6 so
A=s^2 so 6^2 = 36
The areas are equal that verifies the answer of 12 by 3.
