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
she used GF=2BG,but the statement is correct BG=2GF
Answer:
-5x^2 - 25x + 18
Step-by-step explanation:
-3x ( x + 8 ) + x + 2 ( 9 - x - x^2 ) ( original equation )
-3x^2 - 24x + x + 18 - 2x - 2x^2 ( distribute )
-3x^2 - 2x^2 - 24x + x - 2x + 18 ( order them based on the variables . )
( -3x^2 - 2x^2 ) (- 24x + x - 2x ) ( + 18 ) ( just separated them not a part of solving !! )
-5x^2 - 25x + 18 ( solved , and the answer :) )
Hope its helps !!!
Answer:
4x + 50 = y
Step-by-step explanation:
Since it is $4 for each audiobook, this means that it is the slope.
Since Jamal started with an initial fee, this makes it the y-intercept.
So the equation is $4 per audiobook = 4x, initial fee of $50 which makes the equation: 4x + 50 = y
<u>Y-intercept</u> is the starting number, in this case, the initial fee.
<u>Slope</u> is the rate at which a value is increasing, in this case, for each audiobook bought, $4 is spent
Answer: See below
Explanation:
Write an equation for nth term:
a + d(n - 1)
a = 8 (first term)
d = -6 (common difference)
8 - 6(n - 1)
= 8 - 6n + 6
= -6n + 14
Find a 50:
-6(50) + 14
= -300 + 14
= -286
