Question

4. k/6 = 8/16 5. 5.4/7 = 27/h 6. 8/11 = 4/y+2

use the cross products property to solve the proportion.

please show work

Answer 1

4.
`k=3\\`

5.
`h=35`

6.
`(7)/(2)` or 3.5

Explanation:

`(k)/(6)=(8)/(16)`

Multiply those 2 values whose diagonal has both terms and divide by the term whose diagonal has the variable.

`k=(8*6)/(16)\\ k=(48)/(16)\\ k=3`

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`(5.4)/(7)=(27)/(h)`

`h=(7*27)/(5.4) \\h=(189)/(5.4)\\ h=35`

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`(8)/(11)=(4)/(y+2)`

`y+2=(11*4)/(8)\\ y=(11*4)/(8)-2\\y=(44)/(8)-2 \\y=(11)/(2)-2\\ y=(11-2*2)/(2)\\ y=(11-4)/(2)\\ y=(7)/(2)=3.5`