Answer:
(1) D.Angle C is congruent to to Angle F. (2) C. SSS. (3) C. cannot be congruent to.
Step-by-step explanation:
1)
From the given figure it is noticed that


According to SAS postulate, if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then both triangles are congruent.
The included angles of congruent sides are angle C and angle G.
So, condition "Angle C is congruent to to Angle F" will prove that the ∆ABC and ∆EFG are congruent by the SAS criterion.
2)
If 
According to SSS postulate, if all three sides in one triangle are congruent to the corresponding sides in the other.
Since two corresponding sides are congruent but third sides of triangles are not congruent, therefore SSS criterion for congruence is violated.
3)
Since two corresponding sides are congruent but third sides of triangles are not congruent, therefore the included angle of congruent sides are different.

Therefore angle C and angle F cannot be congruent to each other.
Answer:
The work done is 202.50Nm
Step-by-step explanation:
Given



Required
The work done
First, we calculate the spring constant (k)




So:


The work done using Hooke's law is:

This gives:

Rewrite as:

Integrate

This gives:




Convert to Nm


S = a * b where a - <span>length and b - width
a = 24
b = 0.75 * a
S = 24 * 24 * 0.75 = 432</span>
301.6=3.14×4×h/3
301.6=12.56×h/3
3770/157=h/3
72 6/157=h. Hope it help!
Answer: 0.5
Step-by-step explanation:
Given : Adult male heights have a normal probability distribution .
Population mean : 
Standard deviation: 
Let x be the random variable that represent the heights of adult male.
z-score : 
For x=70, we have

Now, by using the standard normal distribution table, we have
The probability that a randomly selected male is more than 70 inches tall :-

Hence, the probability that a randomly selected male is more than 70 inches tall = 0.5