Well for number 17 you have to multiply by two which 4 * 2 is 8 and 12 * 2= 24. for number 18 your answer would be isometry. hope that helped
Question 11:
Isometry is a transformation the preserves the distance and there is no change in the distances. It includes rotation, reflection and translation . Hence the figures are congruent. So the statement is false
Question 12:
A reflection is a transformation where every point of the line is of equal distance from a particular line called the line of reflection
Hence this statement is true
Question 13:
The angle of rotation is the turning of every angle of a figure about a specific fixed point in a specific degree. Hence the statement is true
Answer:
13. m∠MN + m∠NMP = m∠MP.
14. m∠NMP - m∠OMP = m∠NMO.
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15. x = 3 + y and -2y + 3 < -1 : Given
16. x > y : x = 3 + y
17. -2y < -4 : -2y < -4
18. y > 2 : y > 2
19. x > 2 : x = 3 + y and y > 2
<u>------------------------------------------</u>
Answer:
y = 25 (for x less than/equal to 12)
y = 25 + 1.25(x - 12) for x > 12
For x = 20
y = 25 + 1.25(20 - 12)
y = 25 + 10
y = $35
For this case we must solve the following equations:
We subtract 3x on both sides of the equation:
We subtract 7 on both sides of the equation:
We divide between 2 on both sides of the equation:
The second equation is:
We apply distributive property to the terms of parentheses:
We add common terms:
We add 10 to both sides of the equation:
We divide between 5 on both sides of the equation:
Third equation:
We apply distributive property to the terms within parentheses:
We add similar terms:
We subtract 6x on both sides of the equation:
We subtract 5 on both sides of the equation:
Answer:
