Answer:
The equation is 2x + 5.1 = 11.5
Step-by-step explanation:
Given that:
Fiona thinks of a number.
Let,
x be that number.
She doubles the number, therefore
2x
Then she adds 5.1 in the number, thus
2x + 5.1
She gets the answer 11.5, so the equation becomes
2x + 5.1 = 11.5
Hence,
The equation is 2x + 5.1 = 11.5
Answer:
-25
Step-by-step explanation:
when b = 6
sub b = 6 into b^2-9b-7
6^2-9(6)-7
36-54-7
36-61
-25
Answer: 6 cm
Step-by-step explanation:
Given: The ratio of the areas of two similar parallelograms is 4:9.
To find : The height of the bigger one if the smaller is of height 4 cm.
Let h be the height of the bigger one.
Since the areas of similar figures are proportional to the square of their corresponding sides.
Then, 
![\dfrac{16}{h^2}=\dfrac{4}{9}\\\\\Rightarrow\ h^2=\dfrac{9}{4}\times16\\\\\Rightarrow\ h^2=36\\\\\Rightarow\ h= 6\ cm\ \ \ \ \text{[ height cannot be negative.]}](https://tex.z-dn.net/?f=%5Cdfrac%7B16%7D%7Bh%5E2%7D%3D%5Cdfrac%7B4%7D%7B9%7D%5C%5C%5C%5C%5CRightarrow%5C%20h%5E2%3D%5Cdfrac%7B9%7D%7B4%7D%5Ctimes16%5C%5C%5C%5C%5CRightarrow%5C%20h%5E2%3D36%5C%5C%5C%5C%5CRightarow%5C%20h%3D%206%5C%20cm%5C%20%5C%20%5C%20%5C%20%5Ctext%7B%5B%20height%20cannot%20be%20negative.%5D%7D)
Hence, the height of bigger parallelogram = 6 cm
Answer:
Therefore, the first three term of the sequence is:
Hence, the sequence is:

Step-by-step explanation:
Given the nth term

The first three terms can be obtained by putting
and
respectively in the given nth term
Putting
to get the first term


Putting
to get the second term


Putting
to get the three term


Therefore, the first three term of the sequence is:
Hence, the sequence is:

The answer is 105. Alternate interior angles of two parallel lines are congruent(meaning they are the same). 210/2=105, also the answer has to be below 180 degrees but more than 0.