Answer: Your classmate incorrectly identified the sides that are proportional in the side-splitter theorem.
In this theorem, the segments formed on the traversal are proportional. However, in the diagram your friend is trying to prove that segments on the parallel lines are proportional. If he wanted to do that, he would need to have a different plan.
Answer:
x = 7, x = 5
Step-by-step explanation:
Given 2 intersecting chords, then
The product of the parts of one chord is equal to the product of the parts of the other chord.
(1)
27x = 9 × 21 = 189 ( divide both sides by 27 )
x = 7
(2)
12(3x - 5) = 120 ( divide both sides by 12 )
3x - 5 = 10 ( add 5 to both sides )
3x = 15 ( divide both sides by 3 )
x = 5
Answer:46
Step-by-step explanation:
Use BODMAS to solve this
First is to open the innermost bracket
6+(4x(5+(10÷2)))
6+(4×(5+5))
Then the next bracket
6+(4×(10)
Open the next bracket, then multiply before adding
6+40
=46
Answer: Ruth have to make 7 hats to break even.
Step-by-step explanation:
Break even point is a point where Cost = Revenue.
Let x be the number of hats sold.
Given: Cost of booth = $63
Each hat cost = $10
Selling price for each cost = $19
As per given,
Total cost = Cost of booth+ (Cost of each hat)(Number of hats)
= 63+10x
Total selling price = 19x
For break even,
63+10x=19x
9x=63
x=7
Hence, Ruth have to make 7 hats to break even.
