Answer: 12
Step-by-step explanation:
You can multiply by 12 because to get rid of the fractions all terms should be divided by the LCM (ie the smallest multiple that is exactly divisible by 2, 4 and 3)
Multiples of 3 = 3, 6, 9, 12
Multiples of 4 = 4, 8, 12, 16
Multiples of 2 = 2, 4, 6, 8, 10, 12
Therefore the fractions should be multiplied by 12
Equation: 21+n=43.23
Process to find n
21+n=43.23
Subtract 21 from both sides
n=22.23
Answer:
the 4th option is correct
Step-by-step explanation:
Original expression
Split up the exponent
![x(\sqrt[9]{y^{2} } )](https://tex.z-dn.net/?f=x%28%5Csqrt%5B9%5D%7By%5E%7B2%7D%20%7D%20%29)
The 1/9 of an expression is the same thing is the 9th root of the expression.
Answer:
See explanation
Step-by-step explanation:
Q11. Statement Reason
1. 
bisects 
Given
2. 
Definition of angle bisector
3. 
Reflexive property
4. 
bisects 
Given
5. 
Definition of angle bisector
6. 
ASA postulate
Q13.
1. Consider triangles ACB and DCE. In these triangles,
- given;
- given;
- as vertical angles (by vertical angles theorem)
Hence, triangles ACB and DCE are congruent by SAS postulate.
2. congruent triangles have congruent corresponding sides, so
D(2, –4) → D' = (-4, 2)
E(1, –1) → E'= (-1, 1)
F(5, 1) → F'=(1, 5)
What is the rule that describes a reflection across the line y = x?
rx = y(x, y)= (y, x)
