Answer: QN = 12
Step-by-step explanation: This quadrilateral is a paralelogram because its 2 opposite sides (NP and MQ) are parallel and the other 2 (MN and PQ) are congruent.
In paralelogram, diagonals bisect each other, which means QR = RN.
If QR = RN:
QR = 6
Then,
QN = QR + RN
QN = 6 + 6
QN = 12
<u>The diagonal QN of quadrilateral MNPQ is </u><u>QN = 12</u><u>.</u>
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Answer:
5x +y = 16
Step-by-step explanation:
Given a point and slope, it often works well to start with the point-slope form of the equation for a line:
y -k = m(x -h) . . . . . . . . line with slope m through point (h, k)
Your point and slope make this ...
y -6 = -5(x -2)
y -6 = -5x +10 . . . . . . eliminate parentheses
5x +y = 16 . . . . . . . . . add 5x+6 to both sides; your standard form equation
Answer:

Step-by-step explanation:


Combine Like Terms:



Therefore,
will be your final answer.
Answer: The total percentage loss would be 67%.
Step-by-step explanation:
Since we have given that
Rate of decline each year = 20%
Number of years = 5
We need to find the total percentage loss in value of the house at the end of 5 years.
So, Total percentage loss would be

Hence, the total percentage loss would be 67%.
Answer:
<h2>8 times greater</h2>
Step-by-step explanation:
The formula of a volume of a cube:

a - edge length
-----------------------------------
The edge length of cube B is a.
The edge length of cube A is 2a.
Calculate the volumes:

How many times greater is the volume of the cube A than the volume of cube B?
Make the quotient:
