You would solve it in two parts.
4*n = 44 Divide by 4
4n/4 = 44/4
n = 11
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z^m * z^2 = z^9
When the bases are the same (on the left) the powers on the left add
m + 2
The powers on the left side of the equation are the same as the powers on the right when the bases are the same.
m + 2 = 9 Subtract 2 from both sides.
m + 2 - 2 = 9 - 2
m = 7
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Answers
m = 7
n = 11
Answer: multiply
Step-by-step explanation:
Answer:
The correct option is 1.
Step-by-step explanation:
Two triangles are called similar if all the corresponding angles are congruent or all corresponding sides are in same proportion.
In triangle MNO and triangle RTS.
(Given)
(Given)
According to the angle sum property, the sum of all interior angles of a triangle is 180 degree. Since two corresponding angles are congruent, therefore third angle is also congruent.

Since all corresponding angles are congruent, therefore the triangles MNO and RTS similar.
The triangle are congruent by AA rule of similarity. Each triangle has two congruent angles, therefore both triangles are similar. Option 1 is correct.
The following equations are solved in terms of x:
a) 2x - 3 = y
2x = y + 3
x = (1/2)y + 3/2
b) 2 + 2x - 1 = 4y
2x - 1 = 4y
2x = 4y + 1
x = 2y + 1/2
c) 2A + 4x + 3B = 10
4x = 10 - 2A - 3B
x = 5/2 - (1/2)A - (3/4)B