Answer:
x = 3; y = 11
Step-by-step explanation:
A parallelogram has two pairs of congruent opposite sides. For quadrilateral ABCD to be a parallelogram, sides AB and CD must be congruent, and sides AD and BC must be congruent.
AB = CD
2y + 2 = 3y - 9
-y = -11
y = 11
AD = BC
3x + 6 = y + 4
We already know y = 11, so we substitute 11 for y.
3x + 6 = 11 + 4
3x + 6 = 15
3x = 9
x = 3
Answer: x = 3; y = 11
Answer:
B
Step-by-step explanation:
That's my guess.
He sold 76 shirts and 24 pants.
Step-by-step explanation:
Given,
Cost of one t-shirt = $20
Cost of one pants = $45
Total items sold = 100
Total sales = 2600
Let,
x be the number of t-shirts
y be the number of pants
According to given statement;
x+y=100 Eqn 1
20x+45y=2600 Eqn 2
Multiplying Eqn 1 by 20

Subtracting Eqn 3 from Eqn 2

Dividing both sides by 25

Putting in Eqn 1

He sold 76 shirts and 24 pants.
Keywords: linear equations, subtraction
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Since the surface is the top part of a sphere centred on the origin, the directions of steepest descent are any vector originating from the origin (0,0).
At (5,5), the direction would be dictated by the line joining (5,5) and the origin (0,0), i.e. along <5,5> or equivalently along <1,1>.
You can also go through vector calculus to arrive at the same result.