Hello,
Here i am using vectors

==> AB//DC and AD//BC (definition of a translation)
The quadrilater ABCD is a parallelogram:
so
1) his diagonals have the same length;
2) his diagonals are cutting in the middle.
(these are proprieties of a parallelogram)
X = number of days it would take Kate to paint the house by herself. .
<span>x+5 = number of days it would take Jean to paint the house by herself.</span>
<span>Together, they paint the house in 6 days: </span>
<span>1/x + 1/(x+5) = 1/6 </span>
<span>Multiply both sides by 6x(x+5) </span>
<span>6(x+5) + 6x = x(x+5) </span>
<span>12x + 30 = x^2 + 5x </span>
<span>x^2 − 7x − 30 = 0
</span>therefore the answer is A.
All together he made 23.40
One third of $17.55 is $5.85
When you add $17.55 and $5.85 together you get $23.40
Answer:
5 percent per annum
Step-by-step explanation:
interest rate:
interest: $1800
principal: $18000
duration: 2 years
1800/ 18000 * 100
result is 10%
Since interest is 10% in 2 years, 10% / 2
interest is 5% per year.