Remember:
a) (x,y) => (x, -y) is a reflection across X axis
b) (x,y) => (-x,y) is a reflection across Y axis
Here △RST is mapped to △R′S′T′ using the rule (x,y)→(x,−y)
Hence it is a reflection across X axis.
The size of the triangle does not alter.
But when this is followed by (x,y)→(3x,3y), the lengths increase by a factor 3.
Hence the triangles do not remain congruent.
△RST is not congruent to △R′S′T′ because the rules do not represent a sequence of rigid motions.
Option A) is the right answer
Last year total estimated cost: $2,265
This year (after 1 year) total estimates cost for 2 years is: 1.05 X $2,265 = $2,378.25
So, for 1 year will be the half of the above amount: $2,378.25 : 2 = $1,189.13
Answer:
13 is the number.
Step-by-step explanation:
Given:
Twice the difference of a number and 9 equals 8.
Let the unknown number be 'x'.
Therefore, as per question:
The difference of 'x' and 9 = 
Twice the difference means 2 times the difference. So, we multiply 2 to the difference. Therefore,
Now, the above expression is equal to 8. So, we equate the above expression to 8. This gives,
Solving for 'x', we get:
Using distributive property of addition and distributing 2 inside the bracket. This gives,
Therefore, the unknown number is 13.
Now, we can verify our answer.
Therefore, the answer is correct.
Answer:
3(4+12)=4(4x3)
Step-by-step explanation:
4+12=16;16x3=48;4x3=12;12x4=48
