Answer:
4
Step-by-step explanation:
The definition of the interior angles of a triangle states that
interior angles of a triangle add up to 180º.
This means we can find the measure of <CED:
<C
ED + <E
CD + <C
DE = 180º
<C
ED = 180º - <E
CD - <C
DE
<C
ED = 180º - 43º - 35º
<CED = 102º
By the definition of vertical angles states that a pair of vertical angles are congruent.
This means <C
ED = <A
EB
If <C
ED = 102º
Then
<AEB = 102º
By definition of the interior angles of triangles:
<AEB + <EBA + <BAE = 180º
<AEB = 102º
<EBA = 18º
102º + 18º + <BAE(<A) = 180º
<BAE = 180º - 102º - 18º
<BAE = 60º
<BAE is another way to say <A
<span>
m∠A = 60º</span>
Answer: FIRST OPTION.
Step-by-step explanation:
For this exercise it is important to remember a property called "Quotient of Powers property".
By definition the Quotient of Powers property states the following:
You can observe the division of 
and 
. Since both have the same base "a" , you must rewrite the base and subtract the exponents "m" and "n".
In this case, you have the following expression given in the exercise:
Then, you need to apply the Quotient of Powers property rewriting the base 4 and subtracting the exponents 12 and 5.
Therefore, you get the following result:
You can notice that it matches with the first option.
