Answer:
x = 20
Step-by-step explanation:
If a line is parallel to a side of a triangle and it intersects the other two sides then it divides those sides proportionally.
This is the case here thus
=
( cross- multiply )
11(5x + 10) = 1210
55x + 110 = 1210 ( subtract 110 from both sides )
55x = 1100 ( divide both sides by 55 )
x = 20
Answer:
29/14
Step-by-step explanation:
Start by working out the LCM of these (or any common denominator). A common denominator for 4 and 7 is 28 cuz 4 x 7 = 28.
3/4 = 21/28
4/7 = 16/28
3/4 = 21/28
(21+16+21)/28 = 58/28 which can simplify to 29/14
<u>We are given:</u>
The time-traveller has 79 books, but he can only take 5 books
since we need to find the number of ways he can choose 5 books, we know that the order in which he takes the books does NOT matter
Hence, we will use combination
<u>Finding the number of ways:</u>
Since we will use combination, ₇₉C₅
We know that the formula for combination is (n!) / (r!(n-r)!)
₇₉C₅ = 79! / 5!(74!)
₇₉C₅ = 22,537,515
Therefore, the time traveller can choose 5 books in 22,537,515 different ways
It has two more equal sides