Step-by-step explanation:
The required sum
=(1+2+3+...+199)−(3+6+9+...+198)−(5+10+15+...+195)+(15+30+45+...+195)
=2199(1+199)−266(3+198)−239(5+195)+213(15+195)
=199×100−33×201−39×100+13×105=10732
Answer:
y = -2x + 5
Step-by-step explanation:
Answer:
Squaring both the sides, we get a quadratic and solving it, we find that the possible values of x are -7 and -4.
Step-by-step explanation:
The expression can be written as √(x+8) - 6 = x. Take 6 on the other side and square both the sides.
[√(x + 8)]² = (x + 6)²
x + 8 = x² + 12x + 36
x² + 11x + 28 = 0
x² + 7x + 4x + 28 = 0
(x + 7)(x + 4) = 0
x = -7 and x = -4
The possible values of x are -7 and -4.
For more explanation, refer the following link:
brainly.com/question/10572241
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Answer:
Step-by-step explanation:
If two angles are supplement of each other then one of the angles must be acute
Answer:
Step-by-step explanation:
Opposite = BC ,
Adjacent = AB = x = 3 ,
Hypotenuse = AC = y = 22
<em><u>Using trigonometric ratios.</u></em>
Since we have adjacent and hypotenuse we use cosine's ratio
to find the angle.
