Answer:
62° for box above
118° for second box
Step-by-step explanation:
Since both lines are given parallel, we can apply theorems here.
For the first box above is 62°. This is alternate interior theorem where if both lines are parallel, both angles have same measure or are congruent.
For the second box, since we don't know what the second box's value is, we will leave it as x.
Therefore:-
62+x
Since 62+x forms a line; a line's measure is 180°.
Thus:-
62+x=180
x = 180-62
x = 118°
Answer:
3
15. 8
Step-by-step explanation:
The man and the son form similar triangles, so the lengths of corresponding sides of the triangles are proportional.
6/8 = x/4
8x = 24
x = 24/8
x = 3
Answer: 3
Question 15
Triangles SCA and STR are similar, so the lengths of corresponding sides are in proportion.
SA + AR = SR
SA + 3 = 9
SA = 6
SA/SR = SC/ST
6/9 = SC/12
2/3 = SC/12
3SC = 2 * 12
3SC = 24
SC = 8
Answer:
x + 6
Step-by-step explanation:
(f ÷ g)(x)
=
factorise the numerator
=
← cancel the factor (x + 3) on numerator/ denominator
= x + 6
Answer:

Step-by-step explanation:
Given:
Interval, [0, 4]
Required:
Average range of change over [0, 4]
SOLUTION:
Find f(0) and f(4) from the graph:
(when x = 0, y = 0)
(when x = 4, y = 3)
Average rate of change = 
Where,


Plug in the values into the formula for average rate of change.


Average rate of change 

Actually Welcome to the Concept of the Differential Calculus.
Since, we know this is a definite calculus,
thus we get here as, by using the Chain Rule.