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Chapter 5: Q24 (page 170)

Each figure in Exercises 19-24 is a parallelogram with its diagonals drawn. Find the values of x and y.

Short Answer

Expert verified

The value of x and y is 10 and 16 respectively.

Step by step solution

01

Step 1. Apply property of parallelogram.

The opposite sides of a parallelogram are congruent.

In a given figure, by the property of a parallelogram,

2x+y=36;4x鈭�y=24

02

Step 2. Description of step.

Add equations in step 1.

2x+y+4x鈭�y=36+246x=60

03

Step 3. Description of step.

Divide each side of 6x=60 by 6 to obtain the value of x.

6x6=606x=10

04

Step 4. Description of step.

Substitute 10 for x into 2x+y=36 to find the value of y.

2脳10+y=3620+y=36y=36鈭�20=16

Therefore, the value of x and y is 10 and 16 respectively.

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