Answer:

Step-by-step explanation:

Distribute 2 through the parentheses


Hope I helped!
Best regards! :D
Answer:
-10
Step-by-step explanation:
When the question says that triangle ABC ~ triangle DEF, that means the triangles are similar. This means that their proportions are the same.
In triangle ABC, side length AB is the equivalent of side length DE in triangle DEF.
Since the proportions must be the same, we can take the known side from triangle ABC, find the equivalent of it on triangle DEF, and find the proportions.
We already found that side length AB ~ side length DE.
Now we can divide the lengths to find the proportions.
28 / 8 = 3.5
This means that each side on triangle ABC will be 3.5 times greater than the equivalent side on triangle DEF.
The length of AC in triangle ABC is 3.5 times the length of DF in triangle DEF.
Side length DF is 10.
Multiply 3.5 by 10 to get the length of AC.
3.5 • 10 = 35
So the length of AC is 35 units.
Answer:
Side length AC in triangle ABC is 35 units.
Hope this helps!
Answer:
6
Step-by-step explanation:
The mean of a list of test scores is 80
Adding an additional test score of 92 caused the mean to rise to 82
To find:
After this additional, how many total test are in the list ?
Solution:
Let the total number of test at first = 
And sum of total score = 
As we know, mean = 

Multiplying both sides by 

Now, as adding an additional test score of 92 caused the mean to rise to 82,


By dividing both sides by minus ( - )

By dividing both sides by 2

Thus, total number of test at first =
= 5
And, after this additional score added, total number of tests are 
3x^2 = 7x - 3
3x^2 - 7x = -3
x^2 - 7/3x = -1
x^2 - 7/3x + 49/36 = -1 + 49/36 = 13/36
(x - 7/6)^2 = 13/36
x - 7/6 = + or - sqrt(13)/6
x = 7/6 + or - sqrt(13)/6
x = (7 + or - sqrt(13))/6