Answer:
2 and 6, 4 and 8, 1 and 5, 3 and 7
Step-by-step explanation:
The angle rule of corresponding angles states that the corresponding angles are equal if a transversal cuts two parallel lines.
In this example, lines m and l are two parallel lines
line n cuts through both, making every other angle corresponding and congruent, etc...
Answer:
The answer is below
Step-by-step explanation:
The diameter of a tire is 2.5 ft. a. Find the circumference of the tire. b. About how many times will the tire have to rotate to travel 1 mile?
Solution:
a) The circumference of a circle is the perimeter of the circle. The circumference of the circle is the distance around a circle, that is the arc length of the circle. The circumference of a circle is given by:
Circumference = 2π × radius; but diameter = 2 × radius. Hence:
Circumference = π * diameter.
Given that diameter of the tire = 2.5 ft:
Circumference of the tire = π * diameter = 2.5 * π = 7.85 ft
b) since the circumference of the tire is 7.85 ft, it means that 1 revolution of the tire covers a distance of 7.85 ft.
1 mile = 5280 ft
The number of rotation required to cover 1 mile (5280 ft) is:
number of rotation = 
Answer:
1. An intuitive understanding of number, their magnitude, relationships, and how they are affected by operations.
2. The ability to work outside the traditionally taught algorithms.
3. The ability to perform mental mathematics
4. The ability to look at the world and make comparisons.
5. (In non-human animals) The ability to perceive changes in the number of things in a collection.
=26
Explanation: 6 x 5 (c) = 30 30 - 4 (a) =26
Hope that helps :)
Answer:
10 rows with 6 passengers per row
Step-by-step explanation:
Let x be the number of rows and y the number of passengers per row.
Then we can interpret the story as the following two equations:
xy=60
(x+2)(y-1)=60
Solving these two equations:
y=60/x
(x+2)(60/x-1)=60 (substitute y)
60 - x + 120/x - 2 = 60 (multiply by -x)
x² + 2x - 120 = 0 (factor)
(x-10)(x+12) = 0
x = 10
y = 60/10 = 6
and indeed 10 * 6 = 60 and also 12 * 5 = 60
