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
7 dosent go into 4 at all but 4 goes into 7 once
Answer:
21022.
Step-by-step explanation:
Find the prime factors of 10508:
2 ) 10508
2 ) 5254
37 ) 2627
71.
50208 = 2*2*37*71.
Now there is no integer value for a that would fit (a+ 1)(a - 5) = 10508 .
But we could try multiplying the LCM by 2:-
= 21016 = 2*2*2*37*71.
= 2*2*37 multiplied by 2 * 71
= 148 * 142.
That looks promising!!
a - 5 = 142 and
a + 1 = 148
This gives 2a - 4 = 290
2a = 294
a = 147.
So substituting a = 147 into a^2 - 4a + 1 we get:
= 21022.
Answer:
1. =−8
2. =4x^6−5x^5+2
Step-by-step explanation:
happy to help ya :)
Answer:
the answer should be C!
Step-by-step explanation:
When you multiply the y value 0.04 and 5 it comes out as 0.02.