Question

Can someone please help me solve this maths question?

Answer 1

∠ N = ∠ P = 48°

Explanation:

Δ KMP and Δ LJN are similar ( AA postulate ), then corresponding angles are congruent, that is

∠ P = ∠ N

12y² - 144 = 3y² ( subtract 3y² from both sides )

9y² - 144 = 0 ( add 144 to both sides )

9y² = 144 ( divide both sides by 9 )

y² = 16 ( take the square root of both sides )

y =
`√(16)` = 4

Then

∠ N = 3y² = 3(4)² = 3(16) = 48² = ∠ P

Answer 2

N and P are equal to 48 degrees

Explanation:

1. 3y^2=12y^2−144

2. Subtract 3y^2 from both sides

3. add 144 to both sides

4. 9y^2= 144

5. Divide both sides by 9

6. y^2 = 16

7. Take the square root of 16 ( which is y=±√16)

8. y = 4 or y = -4

(in this case, Y would equal 4 since the angles are not negative lol)

9. Plug 4 into the equations

10. Compare each answer to see if they are equal

11. submit!