Answer:


Step-by-step explanation:
The product is the result obtained by multiplying two factors. Then, the sentence ""The product of a number n and 7.7 equals 112.42" can be expressed with the following equation:

To solve for the variable "n", you has two apply the Division property of equality and divide both sides of the equation by 7.7
Therefore, the value of "n" is:

The distributive property is a simplification rule that does not change the value of an expression. Nothing need be done to the other side of the equation.
q = -4(3+x)
q = -4*3 -4*x . . . . . the -4 is distributed. The right side has not changed value.
Answer:
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
"A number" can be rewritten as X:
6x=3x+12
1) subtract 3x on both sides:
3x=12
2) divide both sides by 3:
x=4
Step-by-step explanation:
<u>Given coordinates of the rectangle ABCD:</u>
- A(0, 0), B(a, 0), C(x, y), D(0, b)
Lets first find coordinates of C
We can see that A and B are on same line horizontally, so C and D will be on the parallel line
The distance AB and CD are equal also distance AD and BC are equal, therefore
- AB = a - 0 = a, CD = a
- AD = b - 0 = b, BC = b
<u>So the coordinates of C are:</u>
<u>Now the diagonals:</u>
- AC = √(a-0)² + (b-0)² = √a²+b²
- BD =√(0-a)² + (b -0)² = √a² + b²
Since AC = BD, we can state they are congruent