Answer:
The value of n is 21.
Step-by-step explanation:
We are given that three of the exterior angle of the n-sided polygon are 50° each two of its interior angle are 127° and 135° and the remaining interior angle are 173 each.
As we know that the sum of all exterior angles of the polygon is 360°. Also, the number of remaining interior angles will be (n - 5).
And, the exterior angle = 180° - the interior angle.
So, according to the question;
150 + 53 + 45 + 7(n - 5) = 360
248 + 7n - 35 = 360
213 + 7n = 360
7n = 360 - 213
7n = 147
n =
n = 21
Hence, the value of n is 21 and this is a 21-sided polygon.
Answer:
a) 6 ways
b) 6 ways
Step-by-step explanation:
a) for all of the letters
for the first letter, we have 3 options
for the second, we have 2 options
for the third, we have 1 option
So the number of options will be;
3 * 2 * 1 = 6
b) for the first, we have 3 options, for the second, we have 2 options
so the number of options will be 3 * 2 = 6 options
Answer:
y = 3x
Step-by-step explanation:
The exact equation for the climb would be y = (x-3)^2 + 9, however, a rough line that represents the climb is y = 3x.
Find the slope between (0, 0) and (3, 9) and we get m = 3. Plug it into y-int form and you get the line.
Answer:
- Slope: -2
- equation: y = -2x +5
Step-by-step explanation:
The given point is the y-intercept of the line, so the slope-intercept form of the equation of a line can be used:
y = mx + b . . . . for slope m and y-intercept b
Here, you have the slope given as ...
m = -2
y-intercept = 5
so the equation of the line is ...
y = -2x +5
_____
The y-intercept is the value of y when x=0. The point (x, y) = (0, 5) tells you the y-intercept is 5.
Answer: 14 gallons of gas.
Step-by-step explanation: For the fractions, find a common denominator, which would be 10. To get 1/5 to have a denominator of 10, multiply each number by 2. You would get 2/10. 7 gallons fills his tank from 2/10 to 7/10. Subtract the two fractions.
7/10 - 2/10 = 5/10.
7 gallons filled his tank half way. We are trying to find the amount to fill his tank all the way. So multiply 7 by 2.
7 x 2 = 14
14 gallons of gas will fill his tank all the way.
I hope this helps!