In order to prove that two triangles are congruent using the ASA theorem, it is necessary to show two pairs of congruent angles and one pair of congruent sides of the triangles.
In the given diagram, there is already a pair of congruent triangles and a pair of congruent sides shown.
Then, in order to use the ASA theorem, we need to prove that there is another pair of congruent angles, one from each triangle.
Since the side VX must be adjacent to both angles involved in the procedure, then we need to show that the angle VXW is congruent to the angle YXZ, which is adjacent to the side YX.
This can be proven using the fact that VXW and YXZ are vertical angles.
Therefore, the necessary step in Johnny's proof is shown in option D)
Pyramid
B=36
h=4
(36*4)/3=48
Prism
B=144
h=3
V= (bh)= 432
answer= 432+48 =480
Answer:
-2-(-16)=14
Step-by-step explanation:
Use KCC rule
The correct option is A): "30%" because<span> suppose vendor bought 100 ltr milk at 10/ltr so cost price =1000 rs.
In that he adds "x" ltr of water in order to get profit of 30% above cost price , means his total earnings from adulturated solution will be 1300 rs.</span>
Answer:
The null hypothesis is
, in which x is the proportion tested.
The alternative hypothesis is 
Step-by-step explanation:
A recent article in a university newspaper claimed that the proportion of students who commute more than miles to school is no more than x.
This means that at the null hypothesis, we test if the proportion is of at most x, that is:

Suppose that we suspect otherwise and carry out a hypothesis test.
The opposite of at most x is more than x, so the alternative hypothesis is:
