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disa [49]
3 years ago
11

Find x and y so that the quadrilateral is a parallelogram.

Mathematics
1 answer:
sergiy2304 [10]3 years ago
3 0

Answer:

Result:

  • The value of x = 12
  • The value of y = 21

Step-by-step explanation:

Given

The parallelogram DEFG

DE = 6x-12

FG = 2x+36

EF = 4y

DG = 6y-42

We know that the opposite sides of a parallelogram are equal.  

As DE and FG are opposite sides, so

DE = FG

substituting DE = 6x-12 and FG = 2x+36 in the equation

6x-12 = 2x+36

6x-2x = 36+12

simplifying

4x = 48

dividing both sides by 4

4x/4 = 48/4

x = 12

Therefore,

The value of x = 12

Also, EF and DG are opposite sides, so

EF = DG

substituting EF = 4y and DG = 6y-42 in the equation

4y = 6y-42

switching sides

6y-42 = 4y

6y-4y = 42

2y = 42

dividing both sides by 2

2y/2 = 42/2

y = 21

Therefore,

The value of y = 21

Result:

  • The value of x = 12
  • The value of y = 21
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Answer:

a. Sage and Tom have the same number of talk minutes left on their cell phone plans.

b. y = x - 7

Explanation:

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Algebraic expression:

Assuming the time Tom started with is denoted by x and the time he is left with is denoted by y.

The expression is:

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The distributive property: a(b + c) = ab + ac

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3 years ago
Find the center and radius for the circle defined by the equation: x2+y2+1/2x-2y-5=0.
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Answer:

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Step-by-step explanation:

(x + [1/4])2 + (y - 1)2 = (97/16)

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Please help me with this one.​
borishaifa [10]

Answer:

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Step-by-step explanation:

The triangles are congruent when corresponding sides are congruent.

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ΔFGH ≅ ΔABC means corresponding sides are ...

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