Answer:
I am not sure but for
CAE it is 65˚
CBD it is 65˚
Step-by-step explanation:
x+40=3x-10
Move the 3x to the other side by subtracting by 3x on both sides
x-3x+40=3x-3x-10
The equation now looks like this:
-2x+40=-10
Move 40 to the other side by subtracting 40 both sides:
-2x+40-40=-10-40
-2x=-50
Divide by -2 on both sides:
-2x/-2=-50/-2
x=25
Since we found out what x is we can replace x in both CAE and CBD:
For CBD: 25+40 is 65
For CAE: 3(25)-10 is 65
38 yard piece for each student and there are 16 students:
38*16=608
608 yards needed for your class
Answer:
4
Step-by-step explanation:
First, get x to one side.
subtract 6x to both sides
-8 = -2x
Then divide -2 to both side
6t^-7 * 3t^5 = 1/6t^7 * 3t^5
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
![2y+y=180](https://tex.z-dn.net/?f=2y%2By%3D180)
![y=60^o](https://tex.z-dn.net/?f=y%3D60%5Eo)
so
![x=120^o](https://tex.z-dn.net/?f=x%3D120%5Eo)
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
![b=12/2=6\ units](https://tex.z-dn.net/?f=b%3D12%2F2%3D6%5C%20units)
The perimeter of the hexagon is given by the formula
![P=6b](https://tex.z-dn.net/?f=P%3D6b)
substitute
![P=6(6)=36\ units](https://tex.z-dn.net/?f=P%3D6%286%29%3D36%5C%20units)