Answer:
The perimeter of the base of the birdhouse is 36 units
Step-by-step explanation:
<u><em>The complete question is</em></u>
Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the measure of the exterior angle and the length of a diagonal that passes through the center is 12. What is the perimeter of the base of the birdhouse?
step 1
Find the measure of the interior angle
Let
x ---> the measure of the interior angle
y ---> the measure of the exterior angle
Remember that
the sum of the interior and exterior angle in any polygon is equal to 180 degrees
so
----> equation A
we have that
the measure of the interior angle is twice the measure of the exterior angle
so
----> equation B
substitute equation B in equation A


so

That means-----> The figure is a regular hexagon
step 2
Remember that
The length of the diagonal that passes through the center of the hexagon is equal to two times the length of the regular hexagon
Let
b ----> the length side of the hexagon
so

The perimeter of the hexagon is given by the formula

substitute

<span>6=2+u then u = 6 - 2 = 4
(-16)=(-9)-w then w = 16 - 9 = 7
8=r+4 then r = 8 - 4 = 4
v+(-3)=(-10) then v = -10 + 3 = -7
9=j+7 then j = 9-7 = 2
(-14)=r-6 then r = -14 +6 = -8
(-2)-k=4 then k = -2 -4 = -6
(-10)=n-8 then n = -10 + 8 = -2
(-9)=s+(-4) then s = -9 + 4 = -5
(-4)-s=0 then s = -4</span>
Answer:
(27.3692 ; 44.6308)
Step-by-step explanation:
Mean, xbar = 36
Standard deviation, s = 11
Sample size, n = 12
Tcritical at 0.2, df = 12 - 1 = 11 ; Tcritical = 2.718
Confidence interval :
Xbar ± Margin of error
Margin of Error = Tcritical * s/sqrt(n)
Margin of Error = 2.718 * 11/sqrt(12) = 8.6308
Confidence interval :
Lower boundary : 36 - 8.6308 = 27.3692
Upper boundary : 36 + 8.6308 = 44.6308
(27.3692 ; 44.6308)
Answer:
it could either be 10.781 or 65.6, if not either of em then iam truly very sorry
Step-by-step explanation:
The answer is 3 1/2 divided by 1 1/2 because those equal 7.
~Silver