Ruben has 6 new books for his collection. This increases his collection by 12%
Let x be the number of books Ruben has before 6 new books added
x + 12% of x = x+6
x + 0.12x = x+6
1.12 x = x+6
Subtract x on both sides
0.12x = 6
Divide by 0.12
x = 50
6 new books are added for his collection
So 50 + 6 = 56
He have 56 books now.
Answer:
Length of side JL = 9ft
Step-by-step explanation:
Triangle JKL is a right angle triangle where side kl = hypotenuse= 15ft
And side jk = opposite= 12 ft
We are looking for side JL = adjacent
According to Pythagoras theorem
A² = B² + C²
15² = 12² + C²
225= 144 + C²
225-144 = C²
81= C²
9 = C
Length of side JL = 9ft
Answer:
The correct option is;
DE = 2·(BC), AD = 2·(AB), and AE = 2·(AC)
Step-by-step explanation:
Given that we have;
1) The side AD of the angle m∠ADE corresponds to the side AB of the angle m∠ABC
2) The side DE of the angle m∠ADE corresponds to the side BC of the angle m∠ABC
3) The side AE of the angle m∠ADE corresponds to the side AC of the angle m∠ABC
Then when we have DE = 2·(BC), AD = 2·(AB), and AE = 2·(AC), we have by sin rule;
AE/(sin(m∠ADE)) = 2·(AC)/(sin(m∠ABC)) = AE/(sin(m∠ABC))
∴ (sin(m∠ADE)) = (sin(m∠ABC))
m∠ADE) = m∠ABC).
Answer:
Any ratio that can be simplified to 1:3
Step-by-step explanation:
Any ratio would work for this answer, but the ratio would have to simplify back to 1 to 3.
Here are some examples you could use:
2:6 = 1:3
3:9 = 1:3
4:12 = 1:3
6:18 = 1:3
7:21 = 1:3
10:30 = 1:3