If ∆abc and ∆gef are congruent, the value of x and the value of y is

use numerals instead of words. if necessary, use / for the fraction bar(s).

Answer-

The value of y is 6 units.

Solution-

Given ∆ABC ≅ ∆GEF

If two triangles are congruent, then the corresponding sides are also congruent.

So,

EF = BC, GF = AC

Putting the values,

--------------1

--------------------2

Putting the values of x in equation 1,

Therefore, the value of y is 6 units.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

answer:

your answer is: c. 196 7/8 in^3.