Answer: 0.0476 miles
Step-by-step explanation:
Daurie rides on her motorcycle for 252 miles on 6 gallons of gas. We will determine the unit rate in gallons. It means the number of miles that her motorcycle on one gallon of gas
Distance travelled on one gallon of gas would be 6/252 = 0.0238 miles
At this rate of 0.0238 miles per one gallon of gas, the distance travelled on 2 gallons of gas would be
2 × 0.0238 = 0.0476 miles
Given:
A figure in which a transversal line t intersect the two parallel lines a and b.
To find:
The measure of the numbered angles.
Solution:
If a transversal line intersect the two parallel lines, then
1. Corresponding angles are equal.
2. Alternate interior angles are equal.
3. Alternate exterior angles are equal.
Now,
(Linear pair)


(Vertically opposite angles)
(Vertically opposite angles)
(Corresponding angles)
(Alternate interior angles)
(Alternate exterior angles)
(Corresponding angles)
Therefore,
.
Answer:
c.) aₙ = 5 × 4ⁿ⁻¹
Explanation:
Geometric sequence: aₙ = a(r)ⁿ⁻¹
where 'a' resembles first term of a sequence, 'r' is the common difference.
Here sequence: 5, 20, 80, 320,...
First term (a) = 5
Common difference (d) = second term ÷ first term = 20 ÷ 5 = 4
Hence putting into equation: aₙ = 5(4)ⁿ⁻¹
Answer:
Of(7) = f(1) + 24
Step-by-step explanation:
Since this Arithmetic Sequence can be written recursively as a function, then we can write the whole sequence, by adding the common difference to the previous function. So writing it as an Arithmetic formula is (placing an example, with a common difference of 4 units):
