Question

Please I really need help

Answer 1

NM = 17, LY = 5, m<NLY = 53.13 degrees, m<NMY = 28.07 degrees

Explanation:

To solve for NM, you just use the Pythagorean theorem,

`8^(2) + 15^(2) = x^(2)`

64 + 225 =
`x^(2)`

289 =
`x^(2)`

`17 = x`

To solve for LY, you can use geometric mean,

`(10)/(y) = (15+y)/(10)\\\\100 = 15y + y^(2) \\y^(2) +15y - 100 = 0\\(y+20)(y-5) = 0\\y= 5`

To solve for the other angles, use the inverse.

Sin-1, = 8/10

= 53.13

Other angle =

Tan-1 = 8/15

= 28.07

Hope this helps, I put a lot of time into this :)