Answer:
These two figures are similar because 
equals 
Step-by-step explanation:
The figures will be similar if their ratios of the two sides are equal. So we need to check the ratios of the figures to see if they are similar or not.
For the smaller figure the ratio is , and for the bigger figure the ratio is which upon simplification reduces to .
So we see that the ratios are equal. Thus the figures are similar.
Given:
The sequence is 25, 20, 15, 10, 5.
To find:
The ninth term of the given sequence.
Solution:
We have,
25, 20, 15, 10, 5
It is an AP because the difference between two consecutive terms are same.
Here,
First term (a) = 25
Common difference (d) = 20-25
= -5
The nth terms of an AP is
Where, a is the first term and d is the common difference.
Putting a=25, n=9 and d=-5 to get the 9th term.
Therefore, the ninth term of the given sequence is -15.
Whats the diameter?
1/8(3.14) = 0.3925
Answer:
Chocolate chip dough = $12
Gingerbread cookie dough = $17
Step-by-step explanation:
Since there are two variables in this problem, setting up a system of equations and using the elimination method will help us find the cost for each package of cookie dough. Based on Ryan's sales of 6 packages of chocolate chip and 12 packages of gingerbread for $276, the first equation is:
6c + 12g = 276
Since Shawna sold 8 chocolate chip and 3 gingerbread for a total of $147.00, the second equation is:
8c + 3g = 147
Using the elimination method, we will need to multiply the second equation by a factor of -4 in order to eliminate the variable 'g':
-4(8c + 3g = 147) = -32c - 12g = -588
Add the two equations:
6c + 12g = 276
+ <u> -32c - 12g = -588</u>
-26c = -312 or c = $12
Plug the value of 'c' into the first equation:
6(12) + 12g = 276 or 72 + 12g = 276 or g = $17
