In Question #7 there are three figures who appear to be taller the further away they are. This is the exact opposite of what should happen, therefore we would suspect, or make a conjecture, that they are all different sizes. And the gridlines along the left side of the figure confirm this conjecture.
In #8, I would disagree, if you draw a line across one of the right angles of a rectangle, you get an irregular convex pentagon that still has 3 right angles.
In #9, the pattern will continue. Each example can be represented algebraically as `5n+n=6n` Since the algebraic statement is true, the pattern will continue for all values of n.
In #10, we use n for our number and the trick goes as follows: Add 2 and we get n+2
Multiply by 4 and we get 4(n+2)=4n+8
Add 4 and we get 4n+12
Divide by 4 and we get n+3
Subtract 3 and we are left with n
4. It is a counterexample, as it disproves the conjecture, and of the two stating a counterexample, d is the only one that is true. The answer is d
5. The answer is again d, as Tashi meets both conditions. Because she is a cat, she is a mammal, and because she is a mammal she is warm-blooded.
6. one two half dinner l-eight-er=Want to have dinner later?. GR-eight, CU FTR WRK=Great, see you after work. All a case of approximate rhymes. Believe it or not, they used to do this in the 1800s to save money on telegraph messages.
1. Justin gathered the following evidence : 17*22 = 374, 14*22 = 308, 36*22 = 792, 18*22 = 396
Based on the information, it cannot be concluded that:
When you multiply a two-digit number by 22, the last and first digits of the product are the digits of the original number, as this is not the case for 17*22
When you multiply a two-digit number by 22, the first and last digits of the product form a number that is are the digits of the original number, as this is not the case for 17*22
When you multiply a two-digit number by 22, the first and last digits of the product are the digits of the original number, as this is not the case for 17*22
The correct option is D, none of the above.
2. The sum of two even numbers is even and the sum of an even number and an odd number is odd.
The correct option is a. the sum will be an odd number
3. Figure B is a counterexample to the conjecture.
Steps for number 10:
Let our arbitrary number be "n"
Add 2: n + 2
Multiply by 4: 4n + 8
Add 4: 4n + 12 = 4 (n + 3)
Divide by 4: n + 3
Subtract 3: n