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
Answer:
y=31
Step-by-step explanation:
we know that x=4
5+6(4) = y
5+24 = 31
y= 31
Hoped this helped
Based on the information given the gain or loss percent on the whole transaction is 1%.
<h3>Gain or loss percent:
</h3>
First step is to calculate the profit on the whole transaction
Profit=(8%×8,000)-(6%×8,000)
Profit=$640-$480
Profit=$160
Now let calculate the gain or loss percentage on the whole transaction
Gain or loss percentage=160/(8000+8000)×100
Gain or loss percentage=160/16000×100
Gain or loss percentage=1%
Inconclusion the gain or loss percent on the whole transaction is 1%.
Learn more about gain or loss here:brainly.com/question/25278228
Answer: $9
Step-by-step explanation: The maturity value of a loan is the total amount you must repay, including the principal and any interest you incur. The term of the loan is the time for which it has been granted.
