Answer:
Option B is correct = 
Step-by-step explanation:
<u>The complete question is:</u> Which of the following options have the same value as 30% of 81?
Group of choices is:
(A) 
(B) 
(C) 
(D) 
(E)
Now, the expression given to us is 30% of 81.
Simplifying the above expression we get;
30% of 81 =
=
= 
Now, we will solve each of the given options and then see which option matches with our calculation.
Option (A) is given;
= 
This doesn't match with our answer, so this option is not correct.
Option (B) is given;
<u><em>This matches with our answer, so this option is correct.</em></u>
Option (C) is given;
This doesn't match with our answer, so this option is not correct.
Option (D) is given;
= 
This doesn't match with our answer, so this option is not correct.
Option (E) is given;
This doesn't match with our answer, so this option is not correct.
Answer:
∠ DBE = 25.5°
Step-by-step explanation:
Given ∠ DBC = 90° and ∠ DBE + ∠ EBC = ∠ DBC, then
∠ DBE = ∠ DBC - ∠ EBC = 90° - 64.5° = 25.5°
Answer:
and
.
Step-by-step explanation:
Start by adding 1 to both sides of this equation.
.
The square of what number or numbers will lead to the number "1"? It turns out that not only
, but
as well. In other words, the value
can be either 1 or -1. Either way, the equation is still going to hold. That's the reason why there are two solutions to this equation.
Consider the case when
. Add 10 to both sides of the equation.
.
Now, consider the case when
. Again, add 10 to both sides of the equation,
.
Order the two solutions in an increasing order:
,
.