Answer:
40% or 4/10 (assuming you just turned on the radio)
Step-by-step explanation:
If you just turned on the radio, it would be 4/10. If you changed from a channel that wasn't playing classical music then it would be 4/9. If you changed from a channel that was playing classical music then it would be 3/9.
Answer:
Solution given:
AB=3units
<B=45°
<C=63°
DF=3units
<E=63°
<F=45°
for congruence opposite corresponding angle or side should be equal
so
∆ABCis congruent to ∆DFE by A.A.S axiom
Similarly
its another name also be
∆BAC=~ ∆FDE
you got it.third one.
The value of b is -6.
Explanation:
The expression is 
To determine the value of b, we shall solve the expression.
Applying exponent rule,
, we get,

Applying exponent rule,
, we have,

The expression is of the form,
then 
Applying this rule, we get,

Dividing both sides by 4, we have,

Hence, the value of b is -6.
Answer:
For the sum of the digits of Michelle’s father to drop to 1/3 of its’ former value, the second digit must go from 9 to 0, in one year.
Thus, if he is 39 this year, the sum of the digits of his age will be 12. Next year, when the sum of the digits would be 4+0, or 4, then the digits of his age would be 1/3rd of their former value.
Therefore, he is 39, and will be 40 next year
Step-by-step explanation:
Answer:
We need the following three rigid motions:
i) Reflection around y-axis, ii) Translation three units in the -y direction, iii) Translation four units in the -x direction.
Step-by-step explanation:
We need to perform three operations on pentagon ABCDE to create pentagon A'B'C'D'E':
i) Reflection around y-axis:
(Eq. 1)
ii) Translation three units in the -y direction:
(Eq. 2)
iii) Translation four units in the -x direction:
(Eq. 3)
We proceed to proof the effectiveness of operations defined above by testing point D:
1)
Given.
2)
By (Eq. 1)
3)
By (Eq. 2)
4)
By (Eq. 3)/Result