Given:
The three vertices of a parallelogram are (-3,8), (4,5), (2,-5).
To find:
The fourth vertex of the parallelogram.
Solution:
Let the vertices of the parallelogram are A(-3,8), B(4,5), C(2,-5) and D(a,b).
We know that, diagonals of a parallelogram bisect each other. It means midpoints of both diagonals are same.
Midpoint formula:
Two diagonals of ABCD are AC and BD.
Midpoint of AC = Midpoint of BD
On comparing both sides, we get
And,
Therefore, the coordinates of fourth vertex are (-5,-2).
Answer:
He saw <u>1 duck</u> and <u>3 dogs</u>.
Step-by-step explanation:
Given:
Evan went to the park and saw four animals.
Each animal was either a duck or a dog.
He saw a total of 14 legs.
Now, to find the number of each animal he had seen.
Let the number of duck be
And the number of dog be
So, total number of animals:
Now, the total number of legs he did see:
<em>As we know the legs of a duck are 2 and a dog are 4.</em>
Adding both sides by -16 we get:
Dividing both sides by -2 we get:
The number of duck = 1.
Now, putting the value of in above equation we get:
The number of dogs = 3.
Therefore, he saw 1 duck and 3 dogs.
A) 6
b) x/f
c) 5/f
Mark brainliest please
Hope this helps you
Answer:
Ella's normal hourly pay is $12 per hour.
Step-by-step explanation:
Let us assume that the Ella's Normal hourly pay = $x per hour
Over hourly pay = 1.5 times ( Normal pay)
= 1.5 ( x) = $ 1.5 x
⇒Ella earns $1.5x in 1 hour of overtime.
So the amount she earns in 4 hour of overtime = 4 times (per hour pay)
= 4 ( $1.5x) = $ 6 x
The amount Ella earned in 4 hours of over time = $72.00
According to the question:
$ 6 x = $72.00
or, x = 72/6
=12
or , x = $12
Hence, Ella's normal hourly pay is $12 per hour.
C. 35 because c. Is the right answer just trust me ok