Answer:
Smallest angle = 40
Step-by-step explanation:
Angle sum property:Sum of all three angles of triangle is 180
2x - 6 + 3x + 5 + 2x + 20 = 180 {Combine like terms}
2x + 3x + 2x - 6 + 5 + 20 = 180
7x + 19 = 180 {Subtract 19 from both sides}
7x = 180 - 19
7x = 161 {Divide both sides by 7}
x = 161/7
x = 23
2x - 6 = 2*23 - 6 = 46 - 6 = 40
3x + 5 = 3*23 + 5 = 69 + 5 = 74
2x + 20 = 2*23 + 20 = 46 + 20 = 66
Smallest angle = 40
Answer: You start to ascend
Explanation:
Since you are walking due south and the positive y-axis points north, the y-coordinate decreases.
Let

= y-coordinate after walking due south

= z-coordinate (or the height) after walking due south
So, the point where you stand after walking due south has a coordinate of

. Moreover,

Since the y-coordinate decreases after walking due south and

,

So, the height after walking due south exceeds 1,206 meters, which is the previous height before walking due south. Therefore, if you walk due south from point with coordinates (100, 120, 1206), you are ascending.
Answer:
B = 155° , C = 25° , D = 155°
Step-by-step explanation:
Given
A = 25°
C = A = 25° [ Vertically Opposite angles ]
Now
A + B = 180°( being linear pair)
25° + B = 180°
B = 180° - 25°
B = 155°
Also
D = B = 155°( vertically opposite angles )
Mono means one..but monomial can also a negative. Mono meaning one means there is a single variable.
<h2>
Explanation:</h2>
The rational expression is given by:

The denominator can't be zero, therefore:

Finally,<em> the values of x that make the rational expression undefined are </em>
<em></em>
<em>x = 7 and x = -7</em>