Answer:
6x - 6
Step-by-step explanation:
<em>The only step necessary here is to simplify. We can subtract 18 from 12 since they are like terms. </em>
6x - 6.
<em>That's it! That's your final answer. </em>
Answer:
19
Step-by-step explanation:
if the triangles are similar then EG/BC = FG/BD
51/(x+4) = 57/(2x-7) cross multiply expressions
102x - 357 = 57x + 228
102x - 57x = 228 + 357
45x = 585 divide both sides by 45
x = 13
BD = 2x -7 and 13×2 - 7 = 19
Answer:
Yes
Step-by-step explanation:
The sine rule works on all triangles (not just right-angled triangles) where a side and it's opposit angles are known.
Answer:
Going horizontally,
Q1 a) x = 133°
Q1 b) x = 59°
Q1 c) x = 189°
Q1 d) x = 32°
Q1 e) x = 72°
Q1 f) x = 36°
Q2 a) x = 53°
Q2 b) x = 94°
Q2 c) x = 10°
Workings out:
To work out the interior angles, you need to know that angles on a straight line add up to 180°. In addition, you also need to know that angles around a point add up to 360°. When you need to find a missing angle, if the angle is on a line or in a triangle, take whatever value/values the angle/angles you have are and take it away from 180°. If the angle is around a point, (or in a square, where all angles are the same anyway) add however many values you have for the angles then take that away from 360°. Hope this helps! :)
Since (78-23) is in the bracket, you need to perform the operation of minus first.
that get you with
-56x(55)÷4
and then you just do it step by step
-56x55 = -3080
-3080÷4 = -770
