Answer:
Given: A triangle ABC and a line DE parallel to BC.
To prove: A line parallel to one side of a triangle divides the other two sides proportionally.
Proof: Consider ΔABC and DE be the line parallel to Bc, then from ΔABC and ΔADE, we have
∠A=∠A (Common)
∠ADE=∠ABC (Corresponding angles)
Thus, by AA similarity, ΔABC is similar to ΔADE, therefore
AB/AD= AC/AE
⇒AD+DB/AD = AE+EC/AE
⇒1+DB/AD = 1+ EC/AE
⇒DB/AD = EC/AE
Therefore, a line parallel to one side of a triangle divides the other two sides proportionally.
⇒Therefore Proved
Hope this helps!!!
Answer:
Carmen's score is 75 strokes.
Linda's score is 81 strokes.
Step-by-step explanation:
Let the score of Linda be "x".
<em>It is given that Carmen's golf score is 6 strokes less than Linda's.</em>
Thus, Carmen's score is (x-6).
The total score of the girls is
= 
The total score is given to be 156.
Thus, the equation becomes,
<em>Thus Linda's score is 81 and Carmen's score is (156-81) 75.</em>
Answer:
Initial Fee is $2.
Step-by-step explanation:
Given:
Stops Price (dollars)
3 6.50
7 12.50
11 18.50
Also Given:
The price of a train ticket consists of an initial fee plus a constant fee per stop.
So let the Cost of initial fee be 'x'.
Also Let the Cost of Constant fee be 'y'.
Now Equation can framed as;
Now According to table;
Number of stops = 3
Price = 6.50
So equation can be framed as;
Also According to table;
Number of stops = 7
Price = 12.50
So equation can be framed as;
Now Subtracting equation 1 from equation 2 we get;
Substituting the value of y in equation 1 we get;
Hence Initial Fee is $2.
<span>Lois used a credit card to make the purchase.
One can't purchase an item that costs more than the balance in a debit card. The debit card is equivalent to cash on hand. You can only spend what you have.
The credit card is equivalent to a loan. You don't have the money as of the moment but when you use the credit card, you owe the issuing bank the amount you've put on credit. The bank will pay the merchant and you will pay the bank. Interest is an additional expense when you pay your bill beyond the due date. The interest is applied on the amount outstanding upon the payment due date. </span>
