Did you missed type this? What is the? For
Answer:
∠MON = 99
Step-by-step explanation:
∠LON = 180°
∠MON + ∠LOM = 180 -------equation
where:
∠MON = 8x - 13
∠LOM = 7x - 17
plugin values into the equation
8x - 13 + 7x - 17 = 180
8x + 7x - 13 - 17 = 180
15x - 30 = 180
15x = 180 + 30
x = 210 / 15
x = 14
plugin values to ∠MON = 8x - 13
∠MON = 8x - 13
∠MON = 8(14) - 13
∠MON = 99
<span>We know that sin^2(x) = 1 - cos^2(x), so
2 - 2 cos^2(x) = 2 + cos(x)
cos(x) + 2 cos^2(x) = 0
One immediate possibility is that cos(x) = 0, in which case x = Pi/2 or
3pi/4. If cos(x) is not zero, then divide both sides by cos(x) to obtain
cos(x) = -1/2
which gives x = 2Pi/3 and x = 4Pi/3.
So your solutions are
Pi/2, 3Pi/4, 2Pi/3, and 4Pi/3
Hope this helps :D</span>
let M be Manuel's age
M = 2x - 2 ( twice Niko's age less 2 )
