Answer:
51.1 ≈ r
Step-by-step explanation:
"A bicycle wheel travels 321 in for each revolution"- means that 321 is the circumference of the wheel that is a circle.
C = 2· π· r
What is the radius of the wheel ?
321 = 2· π· r, divide both sides of the equation by 2 π
(321/2·π) = r , use calculator, solve and round the answer
51.1 ≈ r
98 < C < 104
180 - 25 - < C < 180 - 25 - 51
98 < C < 104
Measures the interior angles of a triangle sum to 180
Answer:
Angle 11 is the alternate exterior of angle 5 meaning there is only 1 angle that is alternate of angle 5.
Step-by-step explanation:
An exterior angle is an angle outside of the shape (hence ex meaning out). However, an ALTERNATE angle is an angle opposite of a transversal line of another angle. The angles on the same transversal line of 5 are 8, 7, 9, 10, 12, and 11. However, we are looking for ALTERNATE EXTERIOR angles not just exterior. 8, 7, 9, 10, and 12 are just exterior which leaves angle 11 as alternate exterior. Angle 11 is the alternate exterior of angle 5 meaning there is only 1 angle that is alternate of angle 5.
Maybe I’m wrong but I tried... I added 4y to both sides and added -10 + 4y and got -6y and I bring down the -X and divided it by both sides and divided it to the -6y and my answer is -6y
Answer:
w = 42
Step-by-step explanation:
A linear pair is a pair of adjacent angles which add up to 180 degrees(supplimentary).
Given m<1 = w + 5, m<2 = 3w + 7, and the fact that m<1, and m<2 form a linear pair. This relationship can be given by:
m<1 + m<2 = 180.
To solve just substitute the expressions given by the angles, and solve.
m<1 + m<2 = 180
| |
v v
(w+5)+(3w+7) = 180 →
4w + 12 = 180
-12 -12
___________
4w = 168
÷4 ÷4
_______
w = 42