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:
Q6. D
Q8. A
Step-by-step explanation:
Q6. In 40 trials, he flipped '2 heads and 1 tail' 16 times.
For 2 heads, probability= 16/40= 4/10
For 120 trials, number of times= 4/10 × 120= 48
Q8.
Answer is A because the inequality shows that x is equal or greater than 8 so the dot at 8 has to be coloured.
Note that we do not change the inequality sign unless we are dividing the whole thing by -1.
Answer:
The cost store owner pay for the pair of jeans is <u>$42</u>.
Step-by-step explanation:
Given:
A store owner uses a selling price of 125% of the cost of an item.
If a pair of jeans has a sales price of $52.50.
Now, to find the cost price of the store owner pay for the pair of jeans.
Let the cost price of jeans be
Sell price of jeans =
Now, to get the cost price of store owner pay for the pair of jeans:
<em>As given the</em><em> </em><em>store owner uses a selling price of 125% of the cost of an item.</em>
According to question:
<em>Dividing both sides by 1.25 we get:</em>
<em>The cost price of jeans = $42.</em>
Therefore, the cost store owner pay for the pair of jeans is $42.
