Dylan makes cupboards using wood. One of his cupboard designs is made from:
3 small panels 550 mm by 550 mm
4 large panels 2150 mm by 550 mm.

The boards used to cut the panels are 2500 mm by 2000
mm. There must be no joins in the panels.

Dylan has an order for 6 of these cupboards. He buys 9
boards to cut the panels.

Has Dylan bought enough wooden boards?
Show why you think this.
You may use diagrams.

What are the measures of ∠a, ∠b, ∠c and ∠d? explain how to find each of the angle measure.

Prove that the sum of two consecutive exponents of the number 5 is divisible by 30.if two consecutive exponents are 5n and 5n + 1, then their sum can be written as 30.

At the olympic games, many events have several rounds of competition. one of these events is the men's 100-meter backstroke. the upper dot plot shows the times (in seconds) of the top 8 finishers in the final round of the 2012 olympics. the lower dot plot shows the times of the same 8 swimmers, but in the semifinal round. which pieces of information can be gathered from these dot plots? (remember that lower swim times are faster.) choose all answers that apply: a: the swimmers had faster times on average in the final round. b: the times in the final round vary noticeably more than the times in the semifinal round. c: none of the above.