Answer:
see explanation
Step-by-step explanation:
The sum of the exterior angles of a polygon = 360°
The exterior angle to interior angle is
exterior angle = 180° - 110° = 70°
Sum the exterior angles and equate to 360
x + 2x + 70 + 2x - 50 + x + 40 = 360 , that is
6x + 60 = 360 ( subtract 60 from both sides )
6x = 300 ( divide both sides by 6 )
x = 50
Then measure of exterior angles is
x = 50°
2x = 2 × 50 = 100°
x + 40 = 50 + 40 = 90°
2x - 50 = 2(50) - 50 = 100 - 50 = 50°
Hello!
The average mean (arithmetic mean) of all the multiples of ten from 10 to 190 inclusive would be C. 100.
Explanation:
10 and 190 inclusive would mean that there are 19 terms.
To find the arithmetic mean, we must add all the numbers and divide by the amount of numbers.
If you add up all the terms, you will get 1,900. Now, divide that by the number of terms.
1,900 ÷ 19 = 100
Therefore, your answer is C. 100.
Have a wonderful day!
1) domain: x cannot be -1/3, 0
2) domain: m cannot be 4/3, -7/2
3) domain: m cannot be 3
Step-by-step explanation:
log <base a> b = x
means
a^x = b
So
3^2 = x^2+7x+21
x^2 + 7x + 21 - 9 = 0
x^2 + 7x + 12 = 0
(x+3)(x+4)
x = -3 or -4
