We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
56
7
avatar

Assume that in each pair of figures, the second polygon is similar to the first, with the same orientation. Perform these steps.

  • Set up equations to find the lengths of the sides labeled by variables. 
  • Solve each equation and find the labeled lengths.
  • Find any remaining lengths of either figure.

Click to view Image: https://imgur.com/a/zxpVuBS​

 

Can someone please solve them if my work is right? Thanks.

 Oct 8, 2019
edited by Guest  Oct 8, 2019
 #1
avatar+104969 
0

The image(s) doesn't/don't display for me when I pull up the link.....

 

 

 

cool cool cool

 Oct 8, 2019
 #2
avatar
0

I fixed the link so it must work now. Can you help me?

Guest Oct 8, 2019
 #3
avatar+104969 
+2

1.   We have that

 

6/9  =  t / [ t + 2 ]    cross-multiply

 

6 [ t + 2]  = 9t

 

6t + 12  =  9t    subtract 6t from both sides

 

12  =  3t          divide both sides by 3

 

4  =  t

 

t + 2  =  6

 

We can find the missing side S  of the figure on the right, thusly

 

11/9  = S /[ t + 2]

 

11/9  =  S  / 6      cross-multiply

 

11* 6  =  9S

 

66 =  9S       divide both sides by   9

 

66/9  =  S   =  22/3

 

 

cool cool cool

 Oct 8, 2019
 #4
avatar+104969 
+2

2. 

 

6/8  =  [ w - 5 ] / w     cross-multiply

 

6w  =  8 [ w - 5 ]

 

6w  =  8w - 40       subtract 8w  from both sides

 

-2w  = -40        divide both sides by  -2

 

w  =  20

 

w - 5  =  15

 

 

To find one missing side  in the second figure that would be the couter-part to the side of 9 in the first figure we have that

 

Missing side/ w  =   9/8

 

Missing side 20  =  9/8      multiply both sides by 20

 

Missing side  =  20 * 9 / 8   =  180 / 8  = 22.5

 

And to find the last missing side of the second figure that is a counter-part to the side of 14 in the first figure we have that

 

Missing side / 22.5  = 14/ 9

 

Missing side  =  22.5 * 14 / 9   =    35

 

cool cool cool

 Oct 9, 2019
 #5
avatar+104969 
+2

3.  

 

t/ 4  = [ t + 1 ]  / 6      cross-multiply

 

6t  =  4 [ t + 1 ]

 

6t  =  4t + 4       subtract  4t from both sides

 

2t  =  4   divide both sides by 2

 

t  = 2

 

t + 1  =  3

 

To find the remaining missing side in the first figure we have that

 

Missing side / t  =   10/ [ t + 1 ]

 

Missing side / 2  =  10/ 3    

 

Missing side  =   2 * 10  / 3  =   20/3

 

cool cool cool

 Oct 9, 2019
 #6
avatar
+1

Thank you so much! I checked my work and corrected it. laugh

Guest Oct 9, 2019
 #7
avatar+104969 
0

OK....good deal   !!!

 

cool cool cool

CPhill  Oct 9, 2019

20 Online Users

avatar
avatar