Hey there!
A quadrilateral has 360 degrees. So add all the degrees together to 360. 9x+1+5x-12+8x+61+90=360. 90 degrees is in the bottom left corner. Combine like terms. 22x+140=360. Subtract 140 from each side. 22x=220. Divide 22 on each side to get x=10. Plug in 10 for x in angle D. 5(10)-12=38. The measure of angle D is 38 degrees.
I hope this helps!
Hello :
x²-8x+15 = (x-3)(x-5)
<span>h(x) = f(x) ÷g(x) = (x-3)(x-5)/(x-3)= x-5</span>
Answer:
The loose sweets at ?0.89 for 100 g.
Step-by-step explanation:
First, calculate the price per gram. You do this by dividing the price by the grams.
?1.49 / 120 g = 1.49 / 120 = 0.0124 (4 dp)
Because the answer was very long, I have rounded it to 4 decimal places (4 dp).
?0.89 / 100 g = 0.89 / 100 = 0.0089
Next, you must calculate both pre-packed and loose sweets to the same weight. I am calculating them both to 100 g.
0.0124 x 100 = 1.24
0.0089 x 100 = 0.89
Finally, the cheapest product for 100 g will be the better value. In this case, it is the loose sweets.
For this case we have the following expression:
We apply distributive property:
We rewrite in equivalent form:
Answer:
Answer:
10th term of the sequence = 0.537
Step-by-step explanation:
First three terms of the sequence are → 5, 4, 
..........
Ratio of 2nd and 1st term of the sequence = 
Ratio of 3rd and 2nd term of the sequence = 
=
Therefore, ratio between every successive term to the previous term is common.
Common ratio 'r' =
First term of the sequence 'a' = 5
nth term of a geometric sequence = 
Therefore, nth term of the given term will be 
Now we have to find the 10 term of the given sequence.
For n = 10,
= 0.53687
≈ 0.537
Therefore, 10th term of the sequence is 0.537
