Answer:
Step-by-step explanation:
The regular polygons that can be used to form a regular tessellation are an equilateral triangle, a square, and a regular hexagon.
Hope it helps
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Answer:
a = 15
b = -10
Step-by-step explanation:
Here, we want to solve the system of linear equations
Firstly, let us multiply the first equation through by 10
2a - 5b = 100 ••••(i)
from the second equation;
a = 29 + b
Substitute this into i
2(29 + b) - 5b = 100
58 + 2b -5b = 100
-3b = 100-58
3b = 42
-b = 42/3
-b = 14
recall;
a - b = 29
a - (-14) = 29
a + 14 = 29
a = 29-14 = 15
Answer: 36th customer.
Step-by-step explanation: 36 is divisible by both 9 and 12, and is the least common multiple.
Answer:
59°, 71°
Step-by-step explanation:
This is a "sum and difference" problem. All problems of this type have the same answer: the larger of the two numbers is the average of those given.
Then the larger angle is (130 +12)°/2 = 71°. The smaller is 71° -12° = 59°.
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<em>More detailed solution</em>
There are several ways to get there using equations. You can, for example, let L represent the larger number. Then L - D will be the smaller one (where D represent the difference). The sum of the two numbers (S) is ...
L + (L -D) = S
2L = S + D . . . . collect terms, add D
L = (S+D)/2 . . . the larger number is the average of the sum and difference
Can't make out your first term, so I will assume that it is -4.
The common ratio of this geom. seq. is 6.
Thus, a(n) = -4(6)^(n-1)
Check: if n = 3, do we get -144 as the 3rd term?
a(3) = -4(6)^(3-1) = -4(6)^2 = -4(36) = -144. YES.