Answer:
c-24
a-156
Step-by-step explanation:
a=180-24( angles on s straight line)=156
c= 24 opposite angles
Using the first equation:
4x = y + 3 ---> y = 4x - 3
We then substitute this into the second equation:
7x - 9(4x-3) = -2 ---> 7x - 9x + 27 = -2 ---> -2x = -29 ---> x = 14.5
Answer:
x+23 = 47
Step-by-step explanation:
Let age of Carlos is x. It is mentioned that the sum of age of Carlos and his mother is 47 years old. Age of Carlos is 23.
We need to find the equation that represents the sum of Carlos' age with his mother.
x+23 = 47 is the required equation.
Also, we can find the age of Carlos as :
x = 47 - 23
= 24 years
Hence, the correct option is (B).
interior angle of a regular 18-gon.
It is easier to calculate the exterior angle of a regular polygon of n-sides (n-gon) by the relation
exterior angle = 360/n
For a 18-gon, n=18, so exterior angle = 360/18=20 °
The value of each interior angle is therefore the supplement, or
Interior angle = 180-20=160 degrees.
Naming of a 9-gon
A polygon with 9 vertices is called a nonagon (in English) or enneagon (French ennéagone, but the English version is sometimes used)
You had a good start with the correct answer.
Exterior angle of a 15-gon
The exterior angle of a 15-gon can be calculated using the relation given in the first paragraph, namely
Exterior angle = 360/15=24 degrees
Answer:
-2
Step-by-step explanation: