Answer:
<u>LENGTH OF AC IS 6</u>
Step-by-step explanation:
Given :
<em>the side AC = x ;</em>
we need to find x;
<em>since ∠A = ∠C , It's an isosceles triangle . i.e ,</em>
<em>the sides opposite to the angles ( AB and CB ) are also equal.</em>
thus ,
side
AB = x+4 ;
CB = 3x-8 ;
thus AB = CB or ,
x+4 = 3x-8 ,
2x = 12 ,
x = 6 ;
<u>therefore the side AC is 6.</u>
The sides of a rhombus are equal length, so you have
... 5x + 20 = 6x + 10
... 10 = x . . . . . . . . subtract 5x+10
Then the side lengths are
... 5·10 +10 = 70
Answer:
74
Step-by-step explanation:
2x+x+4=115 (ext ∠)
3x=111
x=37
∠MNO=2(37)
=74°
Answer:
The given expressions simplifies to tan (4x).
Step-by-step explanation:
Here, the given expression is : 
By TRIGONOMETRIC IDENTITY:

Putting this identity here, and taking A = 9 x, B = 5 x, we get

= tan(4x)
Hence, the given expressions simplifies to tan (4x).