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1 answer:
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A dozen of doughnuts cost $5 and a dozen of croissants cost $6.
Step-by-step explanation:
Let,
Cost of 1 dozen doughnuts = x
Cost of 1 dozen croissants = y
According to given statement;
7x+3y = 53 Eqn 1
x+5y = 35 Eqn 2
Multiplying Eqn 2 by 7
Subtracting Eqn 1 from Eqn 3
Dividing both sides by 32
Putting y=6 in Eqn 2
A dozen of doughnuts cost $5 and a dozen of croissants cost $6.
Keywords: linear equation, elimination method
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Answer:
<h2>$60.</h2>Step-by-step explanation:
The cost for 0 cubic yards of gravel refers to the y-intercept of the function.
First, we find the constant ratio of change
The constant ratio of change is 32, that means the cost per cubic yard of gravel is $32.
Now, we just subtract this ratio twice to find the relations until we have x = 0.
So, for 1 cubic yard, the cost is $92.
For 0 cubic yards, the cost is $60, that's the y-intercept or the initial condition.
Therefore, the answer is $60.
Answer:
Step-by-step explanation:
Adjacent angles of parallelogram are supplementary.
∠A + ∠D = 180
Divide both sides by 2
∠A +
∠D = 90
∠PAD + ∠ADP = 90 --------------------(I)
IN ΔPAD,
∠PAD + ∠ADP + ∠APD = 180 {angle sum property of triangle}
90 + ∠APD = 180 {from (I)}
∠APD = 180 - 90
∠APD = 90
∠SPQ = ∠APD {vertically opposite angles}
∠SPQ = 90°
Similarly, we can prove ∠PQR = 90° ; ∠QRS = 90° and ∠RSP = 90°
In a quadrilateral if each angle is 90°, then it is a rectangle.
PQRS is a rectangle.