Answer:
140°
Step-by-step explanation:
<u>Given:</u>
Dana draws a triangle with one angle that has a measure of 40∘.
<u>Question asked:</u>
What is the measure of the angle’s adjacent exterior angle?
Solution:
<u>As we know:</u>
<u><em>Sum of the adjacent interior and exterior angles is 180°.</em></u>
Interior angle = 40°
Adjacent exterior angle = ?
Interior angle + Adjacent exterior angle = 180°
40° + Adjacent exterior angle = 180°
<u>By subtracting both sides by 40°</u>
40° - 40° + Adjacent exterior angle = 180° - 40°
Adjacent exterior angle = 140°
Therefore, the measure of the angle’s adjacent exterior angle will be 140°.
Answer:
C. The ratio of the area to the circumference is equal to half the radius.
Step-by-step explanation:
The area of a circle can be written as;
Area A = πr^2
The circumference of a circle is;
Circumference C = 2πr
Using the formula, w can derive the relationship between the two variables.
A = kC
k = A/C
Substituting the two formulas;
k = (πr^2)/(2πr) = r/2
So,
A = (r/2)C
A/C = r/2
The ratio of the area to the circumference is equal to half the radius.
Given;
Area = 200.96
Circumference = 50.24
Radius = 8
To confirm;
k = r/2 = 8/2 = 4
Also,
A/C = 200.96/50.24
A/C = 4
A.) The circumference of the tire is 94.2
B.) The tire will have to rotate 56 times to
travel 1 mile.
Answer:
First one: Rotation
Second one: Translation
Third one: Reflection
Fourth one: Translation
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
To find the inverse of a function, switch the variables and solve for y.
The inverse of f(n)=-(n+1)^3:
![\sqrt[3]{n} =-(y+1)](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bn%7D%20%3D-%28y%2B1%29)
![\sqrt[3]{n} =-y-1](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bn%7D%20%3D-y-1)
![\sqrt[3]{n} +1=-y](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bn%7D%20%2B1%3D-y)
![-(\sqrt[3]{n} +1)=y](https://tex.z-dn.net/?f=-%28%5Csqrt%5B3%5D%7Bn%7D%20%2B1%29%3Dy)
![-\sqrt[3]{n} -1=y](https://tex.z-dn.net/?f=-%5Csqrt%5B3%5D%7Bn%7D%20-1%3Dy)
