Here are tge ingredients to make 250ml of custard.
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y = 4x + 2 is the equation to find total cost y to rent shoes and bowl x games
<em><u>Solution:</u></em>
Given that, The cost for each game increases by 4
The Total cost for bowling includes the fee for shoe rental plus the fee per game.
Let the total cost be "y"
Let the number of games be "x"
The point slope equation can be used to describe this situtaion
Here represents the cost after 3 games is $ 14
The cost for each game increases by 4. So, here m = 4
Therefore, the equation becomes,
y - 14 = 4(x - 3)
y - 14 = 4x - 12
y = 4x - 12 + 14
y = 4x + 2
So here, 2 represents the shoe rental and "x" is the number of games
Thus the required equation to find total cost y to rent shoes and bowl x games is found
Answer: unit and 18 unit
Step-by-step explanation:
Let ABCD is a trapezoid where AB and CD are the bases. ( In which AB is greatest base which shown in below figure)
AD and BC are the legs of the trapezoid ABCD.
Now, we have ( According to the question ),
AB = 18 unit, BC = 7 unit, AD = 3 unit and DC = 11 unit.
Here the leg AD extends from point D.
Similarly leg BC extends from point C.
Let they meet at point P ( shown in below diagram)
Since In triangles PAB and PDC,
∠PDC ≅ ∠PAB ( because DC ║ AB )
And, ∠ PAB ≅ ∠ PBA
∠DPC ≅ ∠ APB ( reflexive)
Therefore, By AAA similarity postulate,
Thus, By the definition of similarity,
( because PA = PD+DA)
⇒ 18 PD = 11 PD +33
⇒7PD = 33
⇒ PD = 33/7
Again by the definition of similarity,
( because PB = PC + CB)
⇒ 18 PC = 11 PD +77
⇒7PC = 77
⇒ PC = 11
Thus, PA = PD+DA = 33/7 + 3 =
And, PB = PC + CB = 11 + 7 = 18
