Answer:
1) Angle 4 and angle 8.
2) c. Congruent to.
3) a. Angle 2 and angle 5.
Step-by-step explanation:
1) When a transversal cuts the shown parallel lines, the angles that are in the same relative position are call correponding angles.
2) Angle 2 and 8 are Alternal internal angles, therefore they are congruent.
3) Angle 2 and angle 5 are on one side of the transversal, therefore, they are same-side interior angles.
Answer:
its b
Step-by-step explanation:
Answer:
B) 4
Step-by-step explanation:
Answer:
14 ft.
Step-by-step explanation:
Please consider the complete question.
Ron is designing a new slide for the amusement park in town. The slide makes an angle of 39° with the ground. The top of the slide
is to be 9 feet off the ground. What should be the length of the slide he needs to make to the nearest foot?
We can see from the attachment that slide forms a right triangle with respect to ground, where, h is length of the slide.
We will use sine to solve for h as sine relates opposite side of right triangle with hypotenuse.
Therefore, Ron needs to make the slide approximately 14 feet long.
The standard equation of a circle is:
(x-h)^2+(y-k)^2=r^2, where (h,k) is the center of the circle and r is the radius.
We are given two endpoints of the diameter, so the midpoint of these points is the center of the circle. (2,8) and (2, -4) so the midpoint of the circle is:
((2+2)/2, (8-4)/2)
(2,2)
The radius is just half the length of the diameter. The length of the diameter is 8--4=12 so the radius is 6 units, so our circle equation is:
(x-2)^2+(y-2)^2=36