Range of values of x is 25°<x<27°.
<u>Step-by-step explanation:</u>
An angle is formed when two rays, a line with one endpoint, meet at one point called a vertex.Alternate interior angles are formed when a transversal passes through two lines. The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles. The Alternate Interior Angles theorem states, if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.
In above question, sides are equal and so alternate interior angles are equal i.e. 2x + 10° = 62° ⇒ 2x = 52° ⇒ x =26°
∴ range of values of x is 25°<x<27°
The value of the fractions will be:
1. 8 13/20
2. 2 4/5
3. 5/6
<h3>How to explain the fraction?</h3>
1. 6 1/4 + 2 2/5
LCM of 20
6 1/4 + 2 2/5.
6 5/20 + 2 8/20
= 8 13/20
2. 1 1/5 × 2 1/3
= 6/5 × 7/3
= 42/15
= 14/5
= 2 4/5
3. 3 1/3 - 2 1/2
= 3 2/6 - 2 3/6.
= 5/6
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Answer:
i think it is B hope it help
Step-by-step explanation:
Answer: Option (D) Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.
Explanation:
Given expression:
<em>Step-1: </em>Add the exponents and keep the same base by using 
property.
Step-2: The reciprocal of 
is 
, which is 
Step-3: The exponent of is +1; therefore, change the sign of exponent. The end expression will now become:
Hence, the correct option is (D) Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.
