Parallelogram PARL is similar to parallelogram WXYZ. If AP = 7, PL = 15, and WZ = 45, find the value of c.
1 answer:
Answer:
c = 21
Step-by-step explanation:
<u>**I assume that side WX in my diagram (attached as an image below) is the value of C that we're looking for. ALSO, the sizes and lengths of the parallelograms are NOT to scale.**</u>
If two parallelograms are similar, that means the lengths of the corresponding sides have EQUAL ratios.
PL corresponds with WZ. To get from 15 to 45, you would multiply 15 by 3, so the ratio of the legnths of the corresponding sides between these two parallelograms is 1:3.
With that in mind, we can apply this ratio to find WX.
We know that AP has a length of 7, so we will multiply that by 3, getting a value of 21, and 7:21 ratio is the same as 1:3.
c = 21
Hope this helps (●'◡'●)
You might be interested in
The earning of the salesperson is an illustration of a linear function.
The possible functions in the two scenarios are: and
The function is given as:
When the base salary is increased, a possible function is:
This is so, because 2500 is greater than 2000
When the commission rate is decreased, a possible function is:
This is so, because 0.05 is less than 0.1
So, the possible functions in the two scenarios are:
and
See attachment for the graphs of both functions
Read more about linear equations at:
