Answer:
A. 15
Step-by-step explanation:
To solve this you need to compare the lengths given to you in the question statement.
Because the lines originate from a single point, they're like triangles. We can easily see a triangle AGF and a triangle ADE, right?
Both triangles are similar triangles, so we can see triangle ADE as a larger version of angle AGF.
They give you the dimension of A F and A E (through A F + F E) to establish a ratio... and they give you A G, asking for A D.
So, A F = 16, A E = 20 (16 + 4), A G = 12.
Since A D is to A G what A E is to A F, we can easily make the following cross-multiplication:
So, A D = (A G * A E)/A F
A D = (12 * 20) / 16 = 15
Answer:
Total = 800 books
Step-by-step explanation:
It is given that,
In a library, there are 3 non-fiction books for every 7 fiction books. It means that the ratio of non-fiction books to the fiction books is 3:7.
There if the library has 240 non-fiction books.
Let non fiction books are 3x and fiction books are 7x.
ATQ,
3x=240
x=80
Fiction books = 7x = 7(80) = 560
Total no of books = fiction books + non-fiction books
= 240 + 560
=800
Hence, the total no of books are 800.
Answer:
The set of factors of 20 is {1, 2, 4, 5, 10, 20} and the set of factors of 16 is {1, 2, 4, 8, 16}. {1, 2, 4, 5, 10, 20} ∩ {1, 2, 4, 8, 16} = {1, 2, 4} which has greatest value 4. So, GCF(20, 16) = 4.
Step-by-step explanation:
Answer:
3.2 and -0.75
Step-by-step explanation:
5x - 4 > 12
add 4 to the both sides
5x > 12 + 4
5x > 16
divide both sides by 5
x > 16/5
x > 3.2
12x + 5< -4
subtract 5 from both sides
12x < -9
divide both sides by 12
x < -0.75
Answer: 1,410,000
Hope this helps you out! ☺
