Answer:
(1) Area of second triangle= 50 cm^2.
(2) Area of ΔABC=98 cm^2.
and Area of ΔDFG=175 cm^2.
Step-by-step explanation:
<em>" For two similar triangles the ratio of sides is equal to the ratio of square of their areas".</em>
i.e. if a,b are the corresponding sides of two similar triangles and let A and B denote the area of two triangles then we have the relation as:

(1)
for the first question:
we have a=2, b=5.
A=8 cm^2.
Hence,

B=50 cm^2.
Hence, the area of second triangle is 50 cm^2.
(2)
In second option we have:
a=6 and b=5.
A-B=77 cm^2.
A=77+B

Hence area of second triangle i.e. ΔDFG is 175 cm^2.
and area of first triangle i.e. ΔABC=175-77=98 cm^2.
Answer:
2 whole number 1 out of 4
Step-by-step explanation:
11/12 x 3
11/4 = 2remainder 3
2 whole number 3 out of 12
When u reduce it will be 2 whole number 1 out of 4
This problem is very simple. All you have to do is add 10 and 9. The correct answer is D.
Equation y = 5x - 27.95
Plug in 34 for x
5(34) - 27.95
170 - 27.95 = $142.05
<h3>
Answer:</h3>
5+(7+x)
<h3>
Step-by-step explanation:</h3>
Finding an Equivalent Expression
The associative property of addition states that you can move the terms that are inside the parentheses and still have the expression remain true. So, in the answer above, I moved 5 out of the parentheses and x into the parentheses. No matter the value of x the value of the expression will remain the same
Examples and Proof
Another example of the associative property could be (1+6)+3 = 1+(6+3). To prove this statement we can evaluate each side of the expression.
First, let's do (1+6)+3
Next, let's do 1+(6+3)
As you can see both of these expressions are the same, thus proving that the associative property works in this situation.