<h3>
Answer:</h3>
- interior: 144°
- exterior: 36°
<h3>
Step-by-step explanation:</h3>
It may be easiest to remember that the sum of exterior angles of any convex polygon is always 360°.
Your decagon has a sum of exterior angles that is 360°. Since it is a regular 10-sided polygon, each one is 1/10 that value: 36°.
The measure of each exterior angle is 36°.
The measure of an interior angle is the supplement of the exterior angle. Each interior angle of the regular 10-sided polygon will be ...
... 180° -36° = 144°
The measure of each interior angle is 144°.
_____
A formula often used for the sum of the measures of the interior angles is ...
... interior angle total = (n -2)×180°
For a 10-sided figure, the interior angle total is ...
... (10 -2)×180° = 1440°
When this sum is divided into 10 equal angles, the measure of one interior angle is ...
... 1440°/10 = 144° . . . . . agrees with the above computation
The exterior angle measure is the supplement of this:
... 180° -144° = 36° . . . . . exterior angle measure; agrees with the above computation
x+5=6x and 12+6=18 and 6÷6=x and 12÷6=2 so it is x<2
Answer:
27.0 feet
Step-by-step explanation:
Length of an arc (s) = 2πrθ/360................. Equation 1
Where r = radius of the circle, θ = angle in degree substends by the arc at the center of the circle.
From the question,
Given: r = 9 feet, θ = 3 radian = 3 (57.2950) = 171.89°
Constant: π = 3.14
Substitute these values into equation 1
s = 2(3.14)(9)(171.89)/360
s = 9715.2228/360
s = 26.99 feet
s ≈ 27.0 feet
Answer:
Each muffin= 1.5; Each quart of milk= 3
Step-by-step explanation:
Let m represent muffins and q quarts of milk, so
8m+2q=18
3m+1q=7.50
*solve*
3m+1q=7.5
-1q -1q
3m=-1q+7.5
/3 /3 /3
m=-1/3q+2.5
*replace for m*
8(-1/3q+2.5)+2q=18
-2 2/3q+20+2q=18
-2/3q+20=18
-20 -20
-2/3q=-2
/-2/3 /-2/3
q=3
*replace to find m*
3m+1(3)=7.50
3m+3=7.5
-3 -3
3m=4.5
/3 /3
m=1.5
*replace to verify*
8m+2q=18
8(1.5)+2(3)=18
12+6=18
18=18
3m+1q=7.50
3(1.5)+1(3)=7.5
4.5+3=7.5
7.5=7.5
Answer: 0.155 kilogram
===================================================
Work Shown:
To convert from grams to kilograms, you divide by 1000
155 grams = 155/1000 = 0.155 kilogram
