Answer:
Step-by-step explanation:
Hello,
I am going to start with to change to a improper fraction:
1. I will convert 6 and 9/10 into a improper fraction:
2. Now that I have converted the mixed fraction into a improper I can multiply the numerator and the denominator.
3. Now I can simplify this value and convert it into a mixed fraction
After further simplifying I can convert this into an mixed number
Answer:
I think #2
Step-by-step explanation:
Answer:
The correct answer is 144.
Step-by-step explanation:
The librarian noticed that 60% of total seventh graders checked out fantasy books from the library.
Total number of seventh graders is given to be 240.
Number of seventh grade students who checked out fantasy books = 60% of 240 = 0.6 × 240 = 144.
Thus out of 240 seventh graders 144 of them would check out a fantasy book from the library.
Answer:
Claim 2
Step-by-step explanation:
The Inscribed Angle Theorem* tells you ...
... ∠RPQ = 1/2·∠ROQ
The multiplication property of equality tells you that multiplying both sides of this equation by 2 does not change the equality relationship.
... 2·∠RPQ = ∠ROQ
The symmetric property of equality says you can rearrange this to ...
... ∠ROQ = 2·∠RPQ . . . . the measure of ∠ROQ is twice the measure of ∠RPQ
_____
* You can prove the Inscribed Angle Theorem by drawing diameter POX and considering the relationship of angles XOQ and OPQ. The same consideration should be applied to angles XOR and OPR. In each case, you find the former is twice the latter, so the sum of angles XOR and XOQ will be twice the sum of angles OPR and OPQ. That is, angle ROQ is twice angle RPQ.
You can get to the required relationship by considering the sum of angles in a triangle and the sum of linear angles. As a shortcut, you can use the fact that an external angle is the sum of opposite internal angles of a triangle. Of course, triangles OPQ and OPR are both isosceles.
