High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
15th Edition
ISBN: 9780133281149
Author: Prentice Hall
Publisher: Prentice Hall
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Chapter 7, Problem 22CCSR
To determine

To find: the value of x .

Expert Solution & Answer
Check Mark

Answer to Problem 22CCSR

The value of x is 4.

Explanation of Solution

Given information:

A parallelogram has vertices (3,2),(0,7),(7,7) and (x,2) .

Calculation:

Now, construct a parallelogram using the given coordinates in the question as given below.

  High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9, Chapter 7, Problem 22CCSR

To find the value of x , use fact that the diagonals of a parallelogram bisect each other.

That is, the midpoint O will be same for both the diagonals of the given parallelogram, the calculation is done by using following formula:

Midpoint =(x1+x22,y1+y22)

So, the midpoint of both the diagonal will be equal:

  midpointofAC=midpointofDB(3+72,2+72)=(x+02,2+72)(42,92)=(x2,92)(2,4,5)=(x2,4.5)

Now, compare the coordinate of x :

  x2=2x=4

Hence, the value of x is 4.

Chapter 7 Solutions

High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9

Ch. 7.1 - Prob. 7LCCh. 7.1 - Prob. 8LCCh. 7.1 - Prob. 9PPECh. 7.1 - Prob. 10PPECh. 7.1 - Prob. 11PPECh. 7.1 - Prob. 12PPECh. 7.1 - Prob. 13PPECh. 7.1 - Prob. 14PPECh. 7.1 - Prob. 15PPECh. 7.1 - Prob. 16PPECh. 7.1 - Prob. 17PPECh. 7.1 - Prob. 18PPECh. 7.1 - Prob. 19PPECh. 7.1 - Prob. 20PPECh. 7.1 - Prob. 21PPECh. 7.1 - Prob. 22PPECh. 7.1 - Prob. 23PPECh. 7.1 - Prob. 24PPECh. 7.1 - Prob. 25PPECh. 7.1 - Prob. 26PPECh. 7.1 - Prob. 27PPECh. 7.1 - Prob. 28PPECh. 7.1 - Prob. 29PPECh. 7.1 - Prob. 30PPECh. 7.1 - Prob. 31PPECh. 7.1 - Prob. 32PPECh. 7.1 - Prob. 33PPECh. 7.1 - Prob. 34PPECh. 7.1 - Prob. 35PPECh. 7.1 - Prob. 36PPECh. 7.1 - Prob. 37PPECh. 7.1 - Prob. 38PPECh. 7.1 - Prob. 39PPECh. 7.1 - Prob. 40PPECh. 7.1 - Prob. 41PPECh. 7.1 - Prob. 42PPECh. 7.1 - Prob. 43PPECh. 7.1 - Prob. 44PPECh. 7.1 - Prob. 45PPECh. 7.1 - Prob. 46PPECh. 7.1 - Prob. 47PPECh. 7.1 - Prob. 48PPECh. 7.1 - Prob. 49PPECh. 7.1 - Prob. 50PPECh. 7.1 - Prob. 51PPECh. 7.1 - Prob. 52PPECh. 7.1 - Prob. 53PPECh. 7.1 - Prob. 54PPECh. 7.1 - 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Prob. 6LCCh. 7.5 - Prob. 7LCCh. 7.5 - Prob. 8LCCh. 7.5 - Prob. 9LCCh. 7.5 - Prob. 10LCCh. 7.5 - Prob. 11PPECh. 7.5 - Prob. 12PPECh. 7.5 - Prob. 13PPECh. 7.5 - Prob. 14PPECh. 7.5 - Prob. 15PPECh. 7.5 - Prob. 16PPECh. 7.5 - Prob. 17PPECh. 7.5 - Prob. 18PPECh. 7.5 - Prob. 19PPECh. 7.5 - Prob. 20PPECh. 7.5 - Prob. 21PPECh. 7.5 - Prob. 22PPECh. 7.5 - Prob. 23PPECh. 7.5 - Prob. 24PPECh. 7.5 - Prob. 25PPECh. 7.5 - Prob. 26PPECh. 7.5 - Prob. 27PPECh. 7.5 - Prob. 28PPECh. 7.5 - Prob. 29PPECh. 7.5 - Prob. 30PPECh. 7.5 - Prob. 31PPECh. 7.5 - Prob. 32PPECh. 7.5 - Prob. 33PPECh. 7.5 - Prob. 34PPECh. 7.5 - Prob. 35PPECh. 7.5 - Prob. 36PPECh. 7.5 - Prob. 37PPECh. 7.5 - Prob. 38PPECh. 7.5 - Prob. 39PPECh. 7.5 - Prob. 40PPECh. 7.5 - Prob. 41PPECh. 7.5 - Prob. 42PPECh. 7.5 - Prob. 43PPECh. 7.5 - Prob. 44PPECh. 7.5 - Prob. 45PPECh. 7.5 - Prob. 46PPECh. 7.5 - Prob. 47PPECh. 7.5 - Prob. 48PPECh. 7.5 - Prob. 49PPECh. 7.5 - Prob. 50PPECh. 7.5 - Prob. 51PPECh. 7.5 - Prob. 52PPECh. 7.5 - Prob. 53PPECh. 7.5 - Prob. 54PPECh. 7.5 - 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Prob. 17PPECh. 7.8 - Prob. 18PPECh. 7.8 - Prob. 19PPECh. 7.8 - Prob. 20PPECh. 7.8 - Prob. 21PPECh. 7.8 - Prob. 22PPECh. 7.8 - Prob. 23PPECh. 7.8 - Prob. 24PPECh. 7.8 - Prob. 25PPECh. 7.8 - Prob. 26PPECh. 7.8 - Prob. 27PPECh. 7.8 - Prob. 28PPECh. 7.8 - Prob. 29PPECh. 7.8 - Prob. 30PPECh. 7.8 - Prob. 31PPECh. 7.8 - Prob. 32PPECh. 7.8 - Prob. 33PPECh. 7.8 - Prob. 34PPECh. 7.8 - Prob. 35PPECh. 7.8 - Prob. 36PPECh. 7.8 - Prob. 37PPECh. 7.8 - Prob. 38PPECh. 7.8 - Prob. 39PPECh. 7.8 - Prob. 40PPECh. 7.8 - Prob. 41PPECh. 7.8 - Prob. 42PPECh. 7.8 - Prob. 43PPECh. 7.8 - Prob. 44PPECh. 7.8 - Prob. 45PPECh. 7.8 - Prob. 46PPECh. 7.8 - Prob. 47PPECh. 7.8 - Prob. 48PPECh. 7.8 - Prob. 49PPECh. 7.8 - Prob. 50PPECh. 7.8 - Prob. 51PPECh. 7.8 - Prob. 52PPECh. 7.8 - Prob. 53PPECh. 7.8 - Prob. 54STPCh. 7.8 - Prob. 55STPCh. 7.8 - Prob. 56STPCh. 7.8 - Prob. 57STPCh. 7.8 - Prob. 58STPCh. 7.8 - Prob. 59MRCh. 7.8 - Prob. 60MRCh. 7.8 - Prob. 61MRCh. 7.8 - Prob. 62MRCh. 7.8 - Prob. 63MRCh. 7.8 - Prob. 64MRCh. 7.8 - Prob. 65MRCh. 7.8 - Prob. 66MRCh. 7.8 - Prob. 67MRCh. 7.8 - Prob. 68MRCh. 7.8 - Prob. 69MRCh. 7 - Prob. 1GRCh. 7 - Prob. 2GRCh. 7 - Prob. 3GRCh. 7 - Prob. 4GRCh. 7 - Prob. 5GRCh. 7 - Prob. 6GRCh. 7 - Prob. 7GRCh. 7 - Prob. 8GRCh. 7 - Prob. 9GRCh. 7 - Prob. 10GRCh. 7 - Prob. 11GRCh. 7 - Prob. 12GRCh. 7 - Prob. 13GRCh. 7 - Prob. 14GRCh. 7 - Prob. 15GRCh. 7 - Prob. 16GRCh. 7 - Prob. 17GRCh. 7 - Prob. 18GRCh. 7 - Prob. 19GRCh. 7 - Prob. 20GRCh. 7 - Prob. 21GRCh. 7 - Prob. 22GRCh. 7 - Prob. 23GRCh. 7 - Prob. 24GRCh. 7 - Prob. 25GRCh. 7 - Prob. 26GRCh. 7 - Prob. 27GRCh. 7 - Prob. 1CRCh. 7 - Prob. 2CRCh. 7 - Prob. 3CRCh. 7 - Prob. 4CRCh. 7 - Prob. 5CRCh. 7 - Prob. 6CRCh. 7 - Prob. 7CRCh. 7 - Prob. 8CRCh. 7 - Prob. 9CRCh. 7 - Prob. 10CRCh. 7 - Prob. 11CRCh. 7 - Prob. 12CRCh. 7 - Prob. 13CRCh. 7 - Prob. 14CRCh. 7 - Prob. 15CRCh. 7 - Prob. 16CRCh. 7 - Prob. 17CRCh. 7 - Prob. 18CRCh. 7 - Prob. 19CRCh. 7 - Prob. 20CRCh. 7 - Prob. 21CRCh. 7 - Prob. 22CRCh. 7 - Prob. 23CRCh. 7 - Prob. 24CRCh. 7 - Prob. 25CRCh. 7 - Prob. 26CRCh. 7 - Prob. 27CRCh. 7 - Prob. 28CRCh. 7 - Prob. 29CRCh. 7 - Prob. 30CRCh. 7 - Prob. 31CRCh. 7 - Prob. 32CRCh. 7 - Prob. 33CRCh. 7 - Prob. 34CRCh. 7 - Prob. 35CRCh. 7 - Prob. 36CRCh. 7 - Prob. 37CRCh. 7 - Prob. 38CRCh. 7 - Prob. 39CRCh. 7 - Prob. 40CRCh. 7 - Prob. 41CRCh. 7 - Prob. 42CRCh. 7 - Prob. 43CRCh. 7 - Prob. 44CRCh. 7 - Prob. 45CRCh. 7 - Prob. 46CRCh. 7 - Prob. 47CRCh. 7 - Prob. 48CRCh. 7 - Prob. 49CRCh. 7 - Prob. 50CRCh. 7 - Prob. 51CRCh. 7 - Prob. 52CRCh. 7 - Prob. 53CRCh. 7 - Prob. 54CRCh. 7 - Prob. 55CRCh. 7 - Prob. 56CRCh. 7 - Prob. 57CRCh. 7 - Prob. 58CRCh. 7 - Prob. 59CRCh. 7 - Prob. 60CRCh. 7 - Prob. 61CRCh. 7 - Prob. 62CRCh. 7 - Prob. 63CRCh. 7 - Prob. 64CRCh. 7 - Prob. 65CRCh. 7 - Prob. 66CRCh. 7 - Prob. 67CRCh. 7 - Prob. 68CRCh. 7 - Prob. 69CRCh. 7 - Prob. 70CRCh. 7 - Prob. 71CRCh. 7 - Prob. 72CRCh. 7 - Prob. 73CRCh. 7 - Prob. 74CRCh. 7 - Prob. 75CRCh. 7 - Prob. 76CRCh. 7 - Prob. 77CRCh. 7 - Prob. 78CRCh. 7 - Prob. 79CRCh. 7 - Prob. 80CRCh. 7 - Prob. 81CRCh. 7 - Prob. 82CRCh. 7 - Prob. 83CRCh. 7 - Prob. 84CRCh. 7 - Prob. 85CRCh. 7 - Prob. 1CTCh. 7 - Prob. 2CTCh. 7 - Prob. 3CTCh. 7 - Prob. 4CTCh. 7 - Prob. 5CTCh. 7 - Prob. 6CTCh. 7 - Prob. 7CTCh. 7 - Prob. 8CTCh. 7 - Prob. 9CTCh. 7 - Prob. 10CTCh. 7 - Prob. 11CTCh. 7 - Prob. 12CTCh. 7 - Prob. 13CTCh. 7 - Prob. 14CTCh. 7 - Prob. 15CTCh. 7 - Prob. 16CTCh. 7 - Prob. 17CTCh. 7 - Prob. 18CTCh. 7 - Prob. 19CTCh. 7 - Prob. 20CTCh. 7 - Prob. 21CTCh. 7 - Prob. 22CTCh. 7 - Prob. 23CTCh. 7 - Prob. 24CTCh. 7 - Prob. 25CTCh. 7 - Prob. 1CCSRCh. 7 - Prob. 2CCSRCh. 7 - Prob. 3CCSRCh. 7 - Prob. 4CCSRCh. 7 - Prob. 5CCSRCh. 7 - Prob. 6CCSRCh. 7 - Prob. 7CCSRCh. 7 - Prob. 8CCSRCh. 7 - Prob. 9CCSRCh. 7 - Prob. 10CCSRCh. 7 - Prob. 11CCSRCh. 7 - Prob. 12CCSRCh. 7 - Prob. 13CCSRCh. 7 - Prob. 14CCSRCh. 7 - Prob. 15CCSRCh. 7 - Prob. 16CCSRCh. 7 - Prob. 17CCSRCh. 7 - Prob. 18CCSRCh. 7 - Prob. 19CCSRCh. 7 - Prob. 20CCSRCh. 7 - Prob. 21CCSRCh. 7 - Prob. 22CCSRCh. 7 - Prob. 23CCSRCh. 7 - Prob. 24CCSRCh. 7 - Prob. 25CCSRCh. 7 - Prob. 26CCSRCh. 7 - Prob. 27CCSR
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