The missing interior angle, x, of the convex polygon is 168⁰.
<h3>
Sum of interior angles of convex polygon</h3>
The sum of interior angles of a convex polygon is calculated as follows;
S = (n - 2) 180
S = (8 - 2) 180
S = (6) 180
S = 1080
The missing interior angle, x, is calculated as follows;
x + 126 + 146 + 130 + 140 + 146 + 134 + 90 = 1080
x + 912 = 1080
x = 1080 - 912
x = 168⁰
Learn more about interior angles of polygon here: brainly.com/question/24966296
Answer:
2n
Step-by-step explanation:
Answer:
Part a) System of equations:
g = 5 b
b + g = 120
Part b) There were 20 boys, and 100 girls at the dance.
Step-by-step explanation:
Part a)
We start by writing a mathematical expression associated with he two given statements:
1) "Five times as many girls as boys" using "g" to represent the number of girls, and "b" for the number of boys:
g = 5 b
2) a "Total of 120 students" ...
This means that the addition of boys "b" and girls "g" should render 12:
b + g = 120
Part b)
Solve for the number of boys and girls by first replacing (substituting) "g" with "5 b" in the second equation, solving for "b":
b + 5 b = 120
6 b = 120
b = 120/6
b = 20
and now that we know the number of boys, finding the number of girls "g" using the first equation:
g = 5 (20)
g = 100
Answer:
7 swings
Step-by-step explanation:
17/23 = 17/161(x)
x = (17/23)*(161/17)
x = 7
Answer:
343
Step-by-step explanation:
-(-7^3)=-(-7*-7*-7)=-(-343)=343