Answer:
Step-by-step explanation:
If the diagonals of the rectangle are congruent,
AC = BD
By using formula to calculate the distance between two points,
Distance between two points =
Distance between A(0, -3) and C(2, 8),
AC =
=
=
Similarly, distance between two points B(-4, 0) and D(6, 5),
BD =
=
=
Therefore, both the diagonals are congruent.
Hence, given quadrilateral ABCD is a rectangle.
Answer:
<h2>LCD = 9</h2>
Equivalent Fractions with the LCD
1/3 = 3/9
5/9 = 5/9
Solution:
Rewriting input as fractions if necessary:
1/3, 5/9
For the denominators (3, 9) the least common multiple (LCM) is 9.
LCM(3, 9)
Therefore, the least common denominator (LCD) is 9.
Calculations to rewrite the original inputs as equivalent fractions with the LCD:
1/3 = 1/3 × 3/3 = 3/9
5/9 = 5/9 × 1/1 = 5/9
Answer:
the answer is d e and fans f
We want to create a linear equation to model the given situation.
A) c(r) = $6.00 + $1.50*r
B) 19 rides.
We know that the carnival charges $6.00 for entry plus $1.50 for each ride.
A) With the given information we can see that if you ride for r rides, then the cost equation will be:
c(r) = $6.00 + $1.50*r
Where c(r) is the cost for going to the carnival and doing r rides.
B) If you have $35.00, then we can solve:
c(r) = $35.00 = $6.00 + $1.50*r
Now we can solve the equation for r.
$35.00 = $6.00 + $1.50*r
$35.00 - $6.00 = $1.50*r
$29.00 = $1.50*r
$29.00/$1.50 = r = 19.33
Rounding to the next whole number we get: r = 19
This means that with $35.00, Dennis could go to 19 rides.
If you want to learn more, you can read:
brainly.com/question/13738061