Question

Find x and y with ray theorem

Answer 1

x = 2

y = 5

Explanation:

We can say:

7 corresponds to y

(3 + 7.5) corresponds to 7.5

Plus, we can write a ratio

`(7)/(y) = (3 + 7.5)/(7.5)`

`(7)/(y) = (10.5)/(7.5)`

Cross multiplying, we can solve for "y",

`(7)/(y) = (10.5)/(7.5)`

`(7)/(y) = 7 * 7.5`

y = 5

Again, using similarly, we can say:

(x + 5) corresponds to 5

(3 + 7.5 = 10.5) corresponds to 7.5

We can write a ratio:

`(x + 5)/(5) = (10.5)/(7.5)`

Cross multiplying and with the help of a but algebra, we can solve for "x", shown below:

7.5( x + 5) = 5 x 10.5

7.5x + 37.5 = 52.5

7.5x = 15

x = 2