Answer:
TU = 4.5units
Step-by-step explanation:
Since the pentagons are similar, hence the ratios of their similar sides will be equal to a constant.
Hence;
XY/ST = YZ/TU
Given the following
XY = 32
YZ = 36
ST = 4c + 2
TU = 5c + 2
Substitute into the expression as shown;
32/4c+2 = 36/5c+2
Cross multiply
36(4c+2) = 32(5c+2)
144c + 72 = 160c + 64
144c - 160c = 64 - 72
-16c = -8
c = -8/-16
c = 1/2
Recall that TU = 5c + 2
TU =5(1/2) + 2
TU = 2.5 + 2
TU = 4.5
Hence the length of TU is 4.5units
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
.............................4 less than m
C
Step by step explanation This is how I got the answer to your question and I gave you the solution I hope this helps you out
