Answer:
( 11 -6)
( -5 6 )
Step-by-step explanation:
Multiply the first row of N by first column of M. This will give the first element in top row of the answer :-
-3*-2 + 1*5 = 11
Then multiply the first row in N by the second column of M to give the second element of the top row.
-3*0 + 1*-6 = -6
Then do a similar process with the second row in N.
The given equation is
We need to solve the equation for q.
<u>Value of q:</u>
The value of q can be determined by solving the equation
for q.
Thus, subtracting both sides of the equation by r, we get;

Now, dividing both sides of the equation by b, we have;

Simplifying the terms, we get;

Therefore, the value of q is 
Hence, Option B is the correct answer.
Answer:
Step-by-step explanation:
Corresponding angles of both the squares are congruent. (angles of a square measure 90°)
Ratio of the sides of the given squares = 
= 
This ratio of side lengths is constant for all corresponding sides.
Therefore, corresponding sides are proportional.
Since, all angles of both the squares are congruent and all the sides are proportional, both the squares will be similar.
Scale factor = 
= 
= 2.5
This sequence of similarity transformations shows the figures are similar.
Answer:
50 grams
Step-by-step explanation:
Let the amount of cheese required by the recipe be "x"
Ann increased 60% from original amount and then used up 80 grams. Thus:
<em>Original, increased by 60%, became 80</em>
<em />
This translated to algebraic equation would be:
x + 0.6x = 80
<u>Note:</u> 60% = 60/100 = 0.6
So we can solve the above equation for "x" and get our answer. Shown below:

Hence,
the recipe required 50 grams of cheese