Answer:
- the y-intercept is (0,5)
- the slope is 2/3
Step-by-step explanation:
THEOREM:
<u>Same Side Interior Angles Theorem</u>:– If two parallel lines are cut by a transversal, then the same side interior angles are supplementary.
ANSWER:
By same side interior angles theorem,
∠4 + 123° = 180°
∠4 = 180° - 123°
∠4 = 57°.
Answer:
dV/dt = 3×10^2 × 0.5 = 150 in^3/sec
the volume of the cube is increasing at 150in^3/sec
Step-by-step explanation:
Volume V = length l^3
V = x^3
Differentiating both sides;
dV/dt = 3x^2 dv/dt
Given;
x = 10 in
dx/dt = 0.5 in/sec
dV/dt = 3×10^2 × 0.5 = 150 in^3/sec
the volume of the cube is increasing at 150in^3/sec
Step-by-step explanation:
Sum of angles in a triangle = 180°.
=> s° + (s/7 + 3)° + (s/7 - 3)° = 180°
=> 9/7 * s° = 180°
=> s° = 180° * (7/9) = 140°
Hence the value of s is 140.
