Step-by-step explanation:
(72)¹⁴³ ≡ x (mod 7)
Since 72 ≡ 2 (mod 7),
72³ ≡ 2³ (mod 7) ≡ 1 (mod 7).
Therefore (72)¹⁴³ = (72³)⁴⁷ * (72²)
≡ 1⁴⁷ * 4 (mod 7) ≡ 4 (mod 7).
The answer is A.
9a + 24 - 6a
3a + 24
In bold is your answer
Answer:
,n n,
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
Add the total of miles Marisa is going to drive; 200 + 220 = 420
Next, divide the total miles by the average miles Marisa can travel on one gallon of gas; 420 / 28 = 15
(Hope this helps!)
Answer:
144°
Step-by-step explanation:
First, find the area of the circle, with the formula A =
r²
Plug in 10 as the radius, and solve
A =
r²
A =
(10²)
A = 100
Using this, create a proportion that relates the area of the sector to the degree measure of the arc.
Let x represent the degree measure of the arc of the sector:
= 
Cross multiply and solve for x:
100
x = 14400
x = 144
So, the degree measure of the sector arc is 144°