The angles remain the same. If you equally increase the lengths of the sides, the interior and exterior angles will not change. Both of them are similar to the original sign.
It means that value is not counted. it’s there but you don’t include it
Answer:
43/18
Step-by-step explanation:
2/3(1/3+ 3 1/4)
2/3(1/3+ 3 1/4)
find the lowest common denominator (12) to add the two fractions.
1/3= 4/12;
3 1/4= 13/4 = 39/12
4/12+ 39/12= 43/12
2/3(43/12)
- Then multiply the fractions.
2/3(43/12)
Numerator: 2*43= 86
Denominator: 3*12= 36
86/36
- Last simplify your fraction.
43/18 or 2 7/18
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
