Answer:
d.
Step-by-step explanation:
Let's examine each statement:
Option A: m<CUD = m<VUM (CORRECT)
Rationale: vertical angles are congruent to each other.
Option B: m<AUV + m<DUA = 180 (CORRECT)
Rationale: angles on a straight line
Option C: m<MUC - m<MUD = m<CUD (CORRECT)
Rationale:
m<MUC = m<MUD + m<CUD
Subtract m<MUD from each side
m<MUC - m<MUD = m<CUD
Option D is FALSE
Rationale:
m<PUD + m <VUP = 180° (angles on a straight line)
m<PUM + m<CUA ≠ 180°
Therefore,
m<PUD + m<VUP = m<PUM + m<CUA IS FALSE.
Answer: c) 
.
Step-by-step explanation:
Mean value theorem : If f(x) is defined and continuous on the interval [a,b] and differentiable on (a,b), then there is at least one number c in the interval (a,b) (that is a < c < b) such that
Given function : 
Interval : [0,3]
Then, by the mean value theorem, there is at least one number c in the interval (0,3) such that
Since 
then, at x=c, 
From (i) and (ii), we have
Hence, the correct option is c) .
Answer:
Below
Step-by-step explanation:
1. Linear because it is of the form y = mx + b. The variable x is of the first degree.
The coefficient of x (1/3) ( = slope) is positive so it is increasing.
2. This is non-linear because the variable x is an exponent.
3. Because its of the second degree (x^2) - it is non-linear.
Answer/Step-by-step explanation:
Opposite angles of a parallelogram are equal to each other.
Therefore, <S = <U, and <T = <V
Consecutive angles of a parallelogram are supplementary.
Therefore,
m<S + m<V = 180°
50° + m<V = 180°
m<V = 180° - 50° (subtraction property of equality)
m<V = 130°
Answer:
Last option
over the interval (-∞, -4)
Step-by-step explanation:
Note that from -∞ to -4 the function F has a positive value, the graph is above the x-axis. So the first statement is false and the last is true.
over the interval (-∞, -4)
Then, from 
the function F is negative. 
. But for 
, .
Therefore the second and third statements are false.
<em>The only true statement is the last option</em>
