Answer:
Yes
Step-by-step explanation:
ΔMNL ≅ ΔQNL by ASA or AAS
by ASA
Proof:
∠ LNM = ∠LNQ =90
LN = LN {Common}
∠MLN = ∠QLN {LN bisects ∠ L}
By AAS
∠Q + ∠QLN + ∠LNQ = 180 {Angle sum property of triangle}
∠Q + 32 + 90 = 180
∠Q + 122 = 180
∠Q = 180 -122 =
∠Q = 58
∠Q = ∠M
∠MNL =∠QNL = 90
LN = LN {common side}
Answer:
The appropriate response is "0.9476".
Step-by-step explanation:
The given values are:
Standard deviation,
Randomly selected railroad-car shipments,
n = 500
As we know,
⇒ 
On substituting the values, we get
⇒ 
then,
⇒ 
⇒ 
On using the table of P, we get
⇒ 
⇒ 
Let us take the case of first type of tea
Cost of 10 kg of tea one = $20
Then
Cost of 1 kg of tea one = (20/10) dollars
= 2 dollars
Now let us take the case of the second kind of tea
Cost of 10 kg of tea = $23
Then
Cost of 1 kg of tea = (23/10) dollars
= 2.3 dollars
So
The mixture of 1 kg of tea one
and 1 kg of second type of tea will cost = (2.0 + 2.3) dollars
= 4.3 dollars
Then the cost of 2kg mixture of tea costs = 4.3 dollars
So
The cost of 10 kg mixture will cost = (4.3/2) * 10 dollars
= 4.3 * 5 dollars
= 21.5 dollars
Then
The amount of profit made by selling 10 kg tea at $38 = (38 - 21.5) dollars
= 16.5 dollars
So
Percentage of profit made = (16.5/21.5) * 100
= 1650/21.5
= 76.74 percent
So the percentage of profit made is 76.74%.
Four times the quantity of x minus five is equal to three times the quantity of x plus two
