Two angles are complementary when their sum is equal to 90°.
So, ( 2x + 39 ) + ( 7x - 21 ) = 90°
9x + 18° = 90°
x = 8°
Putting value of x in the angles given :
( 2x + 39 )° = 2(8°) + 39° = 55°.
( 7x - 21 )° = 7(8°) - 21° = 35°.
Therefore, the angles are 55° and 35°.
Hence, this is the required solution.
Linear, decrease by 2 for every decrease of x.
The recursive rule is
.
The iterative rule is
The recursive rule is given by the formula
, where d is the common difference. Our common difference is -4, which gives us the recursive rule above.
The iterative rule begins with the formula
, where a₁ is the first term and d is the common difference. Our first term is 10 and our common difference is -4:
Answer: 288ways
Step-by-step explanation:
There are 5men and 5women to be arranged, since the men must seat together, they will be arranged in 5! ways. For the women, since they must also seat together but with siamese twins between them, they can be arranged in 4! ways instead of 5! ways and this is due to presence of the twins among them.
Note that Siamese twins cannot be separated as such both are taken as one making it 4!.
Since the women and men are always sitting together, they can be arranged in 2! ways i.e 2 sexes
The final seating arrangement can be done in 2!×(5!+4!) ways
= 2× (120+24)
= 2×144
= 288ways.
Note that the arrangement of the men and women are added because they can only be arranged differently to ensure different sex are not sitting together.
In this problem, we have to find the factor which will
make (1 / 10) equal to (2 / 5). Therefore we can write it as:
x (1 / 10) = 2 / 5
where x is the number of people who ate the blueberries
x = (2 / 5) / (1 / 10)
x = 4
<span>Therefore 4 people ate the blueberries.</span>
