Answer: 18 books
Step-by-step explanation:
Given: an n-gon
Prove: The sum of the measures of the interior angles is 180(n – 2)°.
Complete the missing parts of the paragraph proof.
We are given an n-gon, which has n sides and n vertices.
Answers:
1. If we choose one of the vertices, we can draw <u>n-3</u> diagonals.
2. These diagonals form <u>n-2</u> triangles.
3. The sum of the interior angle measures of a triangle is <u>180</u> degrees.
4. <u>n – 2</u> triangles would have an interior angle measure sum of <u>180</u> degrees.
5. Therefore, the sum of the measures of the interior angles of an n-gon is 180(n – 2)°.
The answer is 73
you just set it up at 73+91+x=79 and solve
Answer: The company can build 10 child bikes and 12 adult bikes in the week .
Step-by-step explanation:
Let 'c' be the number of child bike and 'a' be the number of adult bike.
According to the problem
The restriction of building time for a week is 4c+6a≤120 hours.........(1)
and the restriction of testing time for a week is 4c+4a≤100 hours...............(2)
Lets check whether company can build c=10 and a=12 bikes in a week by putting this value in (1) and (2)
(1)......4(10)+6(12)=40+72=112≤120 ⇒Restriction of building time is satisfied.
(2)......4(10)+4(12)=40+48=88≤100⇒Restriction of testing time is satisfied.
Hence, the company can build 10 child bikes and 12 adult bikes in the week,as order is meeting with the restrictions.
