Answer:
2a-6b+6c
Step-by-step explanation:
Combine like terms
1. this is a series of squares Formula is an = n^2
2. Arithmetic series with common difference d = -2.
an = a1 + (n-1)d = 3 -2(n-1)
Cant see the rule for Number 3
Answer:
7 ; 2 ; 8
Step-by-step explanation:
money for raffle= 350 pounds
money for quiz=14 multiplied by 4= 56
56+44= 100
money for membership fees= 20 multiplied by 20= 400
Ratio
Raffle :Quiz: Membership fees
350 : 100 : 400
35 : 10 : 40 (divided by 10)
7 : 2 : 8 (divided by 5)
it can not be simplified further
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

The first one would be (2x)(7) and plus the other 75 it would be 738 with that in total of it c 5 3-15