Answer:
166 2/13 deg
Step-by-step explanation:
The sum of the measures of the interior angles of a convex polygon of n sides is 180(n - 2).
A hexagon has 6 sides, so n = 6.
sum of measures of angles = 180(n - 2) = 180(6 - 2) = 180(4) = 720
4x + 5x + 6x + 7x + 8x + 9x = 720
39x = 720
x = 720/39
x = 240/13
The largest angle has measure 9x.
9x = 9 * 240/13 = 2160/13
2160/13 = 166 2/13
Answer: 166 2/13 deg
A right angle has one 90° angle, and the sum of the angles of any triangle is always equals 360°.
Answer:
5 men should be subtracted.
Step-by-step explanation:
This question is solved by proportions, using a rule of three.
As these measures(number of men needed and time) are inversely proportional, we multiply the lines instead of cross multiplication.
How many men should be working to complete the work in 32 days?
20 men - 24 days
x men - 32 days
Then
How many men should be subtracted?
There are 20 to complete in 24 days.
15 are needed to complete in 32 days.
20 - 15 = 5
5 men should be subtracted.
Rate at which each pumpkin is sold = $5
Rate at which each squash is sold = $3
Let us assume the number of pumpkins sold in a day = x
Then
The number of squash sold on that day = x + 6
Total amount of sales on that day = $98
Then
5x + 3( x + 6) = 98
5x + 3x + 18 = 98
8x = 98 - 18
8x = 80
x = 80/8
= 10
So
The number of pumpkins sold = 10
The number of squash sold = x + 6
= 10 + 6
= 16
