Step-by-step explanation:
15) 13x = 130 x = 10
16) 16x+2+43x+1 = 180 59 x = 177 x = 3
17) 29x+3+31x-3 = 180 60x = 180 x = 3
18) 16x -5 + -5 + 22x = 180 38x = 190 x = 5
<u>Answer</u>:
A. 
<u>Step-by-step explanation:</u>
The formula for arc length is:
arc length = rθ
where:
r is the radius = 7 in
θ is the central angle in radians = 135 × 
= 3/4 π
Substituting these values into the formula:
arc length = 7 in × 3/4 π
=
Answer:
(B) A selected group of participants that is representative of a larger population
Step-by-step explanation:
A sample statistic is a piece of information that you get from a fraction of the population. This information is representative of a larger population.
For example, someone wants to conduct a survey about the most popular NFL team in Syracuse, NY, if it is the Buffalo Bills or the New York Giants. This person is not going to ask each person for whom they cheer. They are going to collect data from a fraction of the population and this data will be expanded to include the entire population.
So, the correct answer is:
(B) A selected group of participants that is representative of a larger population
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°
