Answer:
c = 96°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
c is an exterior angle, thus
c = 50° + 46° = 96°
Answer:
Step-by-step explanation:
Step-by-step explanation:
Familiarize yourself with perfect squares in the neighborhood of 140:
10^2 = 100
11^2 = 121
12^2 = 144
Note that 140 is much closer to the perfect square than it is to the perfect square 121. The value of √140 must lie closer to 12 than to 11.
Place a point on the number line about 3/4 of the way from 11 to 12.
Find slope by calculating rise over run (can pick whatever points are easiest for you). I'm choosing (0,2) and (-3,0)
(0-2)/(-3-0)
(-2)/(-3)
2/3
Slope=2/3
Y intercept is the value of y when x is 0. We can look to see the y intercept is 2.
Final answer: D
Answer:
x^3 + 1/x^3 = 488
Step-by-step explanation:
- x^2 + 1/x^2 = 62
- x^2 + 1/x^2 + 2 = 64
- ( adding 2 in both sides )
- (x + 1/x ) ^2 = 64
- x + 1/x = 8
now,
- ( x+ 1/x ) ^ 3 = 512
- x^3 + 1/x^3 + 3 × x × 1/x ( x + 1/x )
- x^3 + 1/x^3 + 3 ( 8 )
- ( since x + 1/x = 8 )
- x^3 + 1/x^3 + 24 = 512
- x^3 + 1/x^3 = 488
hence, we got x^3 + 1/x^3 = 488
