Quadrilateral ABCD quadrilateral WXYZ. If AD = 12, DC = 6, and ZY = 36, find WZ.
Answers
The value of WZ in the given similar polygons, is 72
What are similar polygons?
When polygons are similar their corresponding angles are congruent and their corresponding sides are proportional.
Given that, quadrilateral ABCD and quadrilateral WXYZ are similar,
The order of the proportionality statement tells us which angles and sides are corresponding.
To solve, set up a proportion.
AD/WZ = DC/ZY
12/WZ = 6/36
Cross multiply.
6(WZ) = 12x36
6(WZ) = 432
Divide both sides by 6
WZ = 72
Hence, the value of WZ is 72
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Answer: C. 72
Step-by-step explanation:
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$1 coin is 23
$2 coin is 14
Step-by-step explanation:
We need to form mathematical equations that we can solve from this Long citation.
Firstly, let the numbers of $1 coins be a and that of $2 be b.
We know that there are 37 coins. Hence
a + b = 37
Now, total is 51 Canadian dollars.
a + 2b = 51
Let’s now solve this simultaneously
From 2 , a + b + b = 51
Let’s say this is 3. Now substitute 1 into 3.
37 + b = 51, b = 51 - 37 = 14
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a = 37 - 14 = 23