Eight hours a day is a healthy average
Answer:
C) m∠1 = 45°, m∠2 = 76°, m∠3 = 80°
Step-by-step explanation:
In the given figure. There are two triangles. We have to use the concept of the sum of interior angles of a triangle is 180°.
So,
m∠2 + 45° + 59° = 180
m∠2 + 104° = 180°
m∠2 = 180° -104°
m∠2 = 76°
m∠1 and 45° are the opposite angles. When two lines are intersection each there, then the opposite angles must be equal.
Therefore, m∠1 = 45°
m∠1 + m∠3 + 55° = 180
45° + m∠3 + 55° = 180°
m∠3 + 100° = 180°
m∠3 = 180° -100°
m∠3 = 80°
Therefore, m∠1 = 45°, m∠2 = 76°, m∠3 = 80°
Answer is C) m∠1 = 45°, m∠2 = 76°, m∠3 = 80°
Answer:
![x = 2](https://tex.z-dn.net/?f=%20x%20%3D%202%20)
Step-by-step explanation:
Figure B = 2½ the size of figure A
One side of figure B is given as 5, therefore, 5 = 2½ of x in figure A.
Thus, ![5 = 2\frac{1}{2}*x](https://tex.z-dn.net/?f=%205%20%3D%202%5Cfrac%7B1%7D%7B2%7D%2Ax%20)
Solve for x
![5 = \frac{5}{2}*x](https://tex.z-dn.net/?f=%205%20%3D%20%5Cfrac%7B5%7D%7B2%7D%2Ax%20)
![5*2 = \frac{5x}{2}*2](https://tex.z-dn.net/?f=%205%2A2%20%3D%20%5Cfrac%7B5x%7D%7B2%7D%2A2%20)
![10 = 5x](https://tex.z-dn.net/?f=%2010%20%3D%205x%20)
![\frac{10}{5} = \frac{5x}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B10%7D%7B5%7D%20%3D%20%5Cfrac%7B5x%7D%7B5%7D%20)
![2 = x](https://tex.z-dn.net/?f=%202%20%3D%20x%20)
![x = 2](https://tex.z-dn.net/?f=%20x%20%3D%202%20)
Answer:
Cylinder, A = 2π • w • h + 2π • w to the second power square units
Step-by-step explanation:
A right circular hollow cylinder is a 3D region enclosed by two right circular cylinders having the same axis and two parallel annular bases perpendicular to the cylinders' common axis which will be formed when you rotate the given by 360 degrees.