The converse and the validity of the statement is:
- If a parallelogram is a rectangle, then the diagonals are congruent.
- TRUE.
The statement is given as:
If the diagonals of a parallelogram are congruent, then is the parallelogram is a rectangle
Considering the following statement
If a then b
Its converse is:
If b then a
So, the converse of the given statement is:
If a parallelogram is a rectangle, then the diagonals are congruent.
The diagonals of a rectangle are true.
Hence, the validity is true.
So, the true statement is (b)
Read more about converse statements at:
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When you factor you get (x-2)(x-3)=0 then x=2 and x=3
Answer:
10w^2 + 24w + 13
Step-by-step explanation:
use Foil method
Answer: The correct line is

Step-by-step explanation: We are given the following two sets of quadratic expressions in various forms:

We are to select one of the lines from above that represent three equivalent expressions.
We can see that there are three different forms of a quadratic expression in each of the lines:
First one is the simplified form, second is the factorised form and third one is the vertex form.
So, to check which line is correct, we need to calculate the factorised form and the vertex form from the simplified form.
We have

and

So,

Thus, Line 1 contains three equivalent expressions.
Now,

and

So,

Thus, Line 2 does not contain three equivalent expressions.
Hence, Line 1 is correct.
What we know: A dozen costs 1.32; there are 12 in a dozen.
What we need to know: How much a restaurant makes selling 1 egg at 0.99.
First, find the value of one egg; you can do that by dividing the total cost (1.32) by the amount (12):
1.32 / 12 = 0.11 <-- The cost per egg is 11 cents. To find the profit of the restaurant, just subtract the cost from the price they sell it for:
0.99 - 0.11 = 0.88 <-- The profit the restaurant makes per egg is 88 cents.
Hope this helps.