Answer:
∠1 = 36°
Step-by-step explanation:
All angles of a regular polygon are congruent, as are the sides. A regular decagon will have 10 congruent angles.
<h3>Exterior angles</h3>
The sum of the measures of the exterior angles of a convex polygon is always 360°. This decagon has 10 congruent exterior angles, so the measure of each is given by ...
10(∠1) = 360°
∠1 = 36° . . . . . . . . divide by 10
Answer:
<h3>area of the slice:
A = 12π in² ≈ 37.7 in² </h3><h3>lenght of its crust:
L = 24π in ≈ 6.28 in</h3>
Step-by-step explanation:
R = 12 in
360°:30° = 12
so the area of the slice is ¹/₁₂ of whole pizza
A = ¹/₁₂•πR² = ¹/₁₂•π•12•12 = 12π in² ≈ 37.7 in²
Crust is the perimeter of pizza so crust of the slice is ¹/₁₂ of the perimeter:
L = ¹/₁₂•2πR = ¹/₁₂•2π•12 = 2π in ≈ 6.28 in
Answer:
n = 3
Step-by-step explanation:
-6n - 20 = -2n + 4 (1-3n)
First distribute the 4 (1-3n)
-6n - 20 = -2n + 4 - 12n
Combine like terms on the right side
-6n - 20 = -14n + 4
Get 'n' on one side by adding -6n to both sides
-20 = -8n + 4
Subtract 4 to both sides
-24 = -8n
Divide -8 to both sides
3 = n
Answer:
X=12
Step-by-step explanation:
2/3x+4=12
Multiply 3 to both sides of the equation
2x+12=36
Subtract 12 on both sides
2x=24
Divide by 2 on both sides
X=12
Answer:
$6500
Step-by-step explanation:
A bank loaned out $18,000
Let x be the part of amount at the rate of 6 % per year
So, Remaining amount = 18000-x
So, the part of amount at the rate of 14 % per year = 18000-x
the interest received in one year totaled $2000
Formula : 
P is the principal
R = rate of interest
T = Time
SI at 6%+SI at 14% = 2000
Hence the bank loan out at 6% is $6500
