We can first look into the properties of parallelogram,you can also take reference from the figure above:
-Opposite sides are parallel and are congruent.
-Opposite angles are congruent.
-The diagonals bisect each other.
We can then look into the answer:
A.Opposite angles are congurent.
-This is an correct statement.
B.Diagonals are congruent.
-This is incorrect,although they bisect each other,they do not have the same length.
C.The diagonals are peroendicular to each other.
-This is incorrect as well,not every parallelogram has the angle of 90° in the place where the diagonals bisect each others.
D.The area is equal to the product of two adjacent side-this is not true,to find the area,it have to be base×height.
Therefore the answer is A.
Hope it helps!
Answer:
£36
Step-by-step explanation:
From the question, we are told that School allots £3000 to spend on a trip to the theatre. With regular cost of tickets of £40 each with offer for 1/5 off
Then the cost of each ticket with 1/5 off= (4/5×40)= £32
From the question, A train ticket for the day will cost £20 each.
Then total cost for each of it = £32+£20
=£52
To determine how much money that the school will have left over, If 3 teachers and the maximum number of students attend, can be expressed below by first calculating the number of students.
Let us denote the number of students as "x"
52(x+3)= < 3000
52x + 156 =< 3000
52x =< 3000 - 156
52x =< 2844
X =< 2844/52
s =< 54.69,
The max. Number of students is 54
Total number of people= Number of students + the 3 teachers
= 54+3= 57
Total cost for 57 people= (£52 × 57 people)= £2964
The amount of money the school will have as left over = (£3000 - £2964)
= £36
Answer:
a
Step-by-step explanation:
Answer:
The explicit form is 
Step-by-step explanation:
The explicit form of a geometric sequence is given by:

where an is the nth term, a is the first term of the sequence and r is the common ratio.
In this case:
a=162
The value of the common ratio is obtained by dividing one term by the previous term.
For the first and second terms:
108/162=2/3
For the second and third terms (In order to prove that 2/3 is the common ratio)
72/108=2/3
Therefore:
r=2/3
Replacing a and r in the formula:
