Question

Find the value of the variable in each pair of similar figures. Round the answers to the nearest tenth. please help!!!!​

Answer 1

x = 18 units

w = 20 units

n = 6.9 units

Explanation:

Given: Similar figures

To find: value of the variable in each pair of similar figures

Solution:

Figures are said to be similar if they have same shape and not necessarily same size.

Corresponding sides of similar figures are always proportional.

`ABCD\sim JKLM\\(AB)/(JK)=(AD)/(JM)\\(12)/(x)=(6)/(9)\\x=(12* 3)/(6)=18\,\,units`

`\Delta NOP\sim \Delta XYZ\\(XZ)/(NP)=(YZ)/(OP)\\(12)/(3)=(w)/(5)\\w=(12* 5)/(3)=20\,\,units`

`\Delta GHI\sim \Delta PQR\\(GI)/(PR)=(GH)/(PQ)\\(3)/(n)=(7)/(16)\\n=(3* 16)/(7)=(48)/(7)=6.9\,\,units`