Answer:
x
=
1
+
i
√
2
,
1
−
i
√
2
Step-by-step explanation:
Answer and explanation:
<em>To solve this, you must find what x equals</em>
x + 2x + 7 = 3x - 7 <em>Add together any numbers that can be added on their side</em>
3x + 7 = 3x - 7 <em>Then subtract 7 from both sides to get 3x alone</em>
3x = 3x - 14 <em> Then subtract 3x from both sides to get x</em>
<h3><em>*The x's cancel each other out so you must have typed the equation wrong. Please check to see any mistakes you may have made*</em></h3>
The answer is f because if you find the average between 78 and 62 you get 70
So what we do is
area that remains=total area-triangle area that was cut out
we need to find 2 things
total area
triangle area
total area=rectange=base times height
area=(3x+4) times (2x+3)
FOIL or distribute
6x^2+8x+9x+12=6x^2+17x+12
triangle area=1/2 times base times height
triangle area=1/2 times (2x+2) times (x-2)=
(x+2) times (x-2)=x^2+2x-2x-4=x^2-4
so
total area=6x^2+17x+12
triangle area=x^2-4
subtract
area that remains=total area-triangle area that was cut out
area that remains=6x^2+17x+12-(x^2-4)=
6x^2+17x+12-x^2+4=
6x^2-x^2+17x+12+4=
5x^2+17x+16
area that remains is 5x^2+17x+16
Answer:
o = 54
Step-by-step explanation:
The angle sum theorem tells you the sum of angles in a triangle is 180°. The definition of a linear pair tells you the two angles of a linear pair total 180°. Together, these relations tell you that an exterior angle of a triangle is equal to the sum of the remote interior angles.
In this geometry, the angle marked 78° is exterior to the left-side triangle. That means ...
78° = o° +24°
o° = 78° -24° = 54°
The value of 'o' is 54.
__
<em>Additional comment</em>
n° is the supplement of 78°, so is 102°.
m° is the difference between 102° and 22°, so is 80°.
