Answer:
<u><em>Question 1:</em></u>
<em>The sum of interior angles of a polygon can be found by the following formula:</em>
(n-2) × 180
<em><u>Where n is the no. of sides</u></em>
A pentagon has 5 sides
So,
= (5-2) × 180
= (3) × 180
= 540 degrees
<u><em>Question 2:</em></u>
Since The sum of interior angles of a regular octagon is 1080 and the total interior angle are 8
So, Measure of interior angle = 
Measure of interior angle = 135 degrees
<u><em>Question 3:</em></u>
<em><u>Since, one interior angle in a hexagon measures 120 degrees.</u></em>
So,
<em>The interior angle should be subtracted by 180 to get the exterior angle.</em>
Exterior angle = 180-120
Exterior Angle = 60 degrees
Answer:
Step-by-step explanation:
The value of t must not be one that makes the denominator zero, hence must not be 8.
The geometric rule for the nth term of the geometric sequence for which a1 =−6 and a5=−486 is -6 × 3^(n - 1)
<h3>The nth term of a geometric sequence</h3>
First term, a1 = -6
Fifth term, a5 = -486
a5 = ar^(n - 1)
-486 = -6 × r^(5-1)
-486 = -6r⁴
r⁴ = -486 / 6
r⁴ = 81
r = 4√81
r = 3
Geometric rule:
nth term = ar^(n-1)
nth term = -6 × 3^(n - 1)
Learn more about geometric sequence:
brainly.com/question/24643676
#SPJ1
Answer:
Step-by-step explanation:
By the exterior angle theorem,
Group like terms and solve for x.
Divide both sides by 19;
Answer:
For the first question, he would raise $38.
Step-by-step explanation:
1 x 12 = $12
2 x 13 = $26
12 + 26 = $38
