9:45 on Tuesday Questions

Mathematics

2 answers:

melomori [17]3 years ago

8 0

Answer:

with respect to transversal l, angles 6 and 12 are "alternate interior" angles

Step-by-step explanation:

Angles 6 and 12 are at different intersections. The line joining those intersections is line l.

The transversal is l.

With respect to that transversal, angle 6 is between lines m and n crossing that transversal. Likewise for angle 12. Since both are "inside" angles, they are "interior."

Angles 6 and 12 are on opposite sides of the transversal l, so are "alternate" angles.

Angles 6 and 12 are "alternate interior" angles.

nirvana33 [79]3 years ago

6 0

Answer:

Alternate Exterior Angles

Step-by-step explanation:

The alternate exterior angle theorem is when two different lines are corssed by a transversal. Essentially alternate exterior angles are when two different angles are on opposite sides of the transversal. In the given photo, 6 and 12 are on opposite sides of one transversal which makes them alternate exterior angles.

Best of Luck!

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The diameter of a tire is 2.5 ft. Use this measurement to answer parts a and b. Show all work to receive full credit

Alla [95]

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 = $\frac{5280\ ft}{7.85\ ft\ per\ rotation}=672\ rotations\\\\\\$