5!x4!=2880 n<span>! is the factorial function</span>
9514 1404 393
Answer:
- A = 48°
- B = 115°
- C = 115°
- D = 67°
- E = 48°
Step-by-step explanation:
A and the angle marked 48° are vertical angles, hence congruent.
A = 48°
B is part of a linear pair with the angle marked 65°, so it is supplementary to that angle.
B = 115°
C is an alternate interior angle with angle B, so is congruent.
C = 115°
D is a vertical angle with the one marked 67°, so is congruent.
D = 67°
E is an alternate exterior angle with the one marked 48°, so is congruent. It is also a corresponding angle with A, so congruent to that as well.
E = 48°
You know that Akiko is 45 miles from the origin...Kosuke is (135/4) miles from the origin... You can draw a figure to clearly see the situation.
<span>you "know" that the angle between their routes is 140º </span>
<span>the side opposite (140º) is the distance between them... </span>
<span>c^2 = (45)^2 + (135/4)^2 - 2(45)(135/4) cos 140 </span>
<span>c ≈ 74.1 mile
Hope this answers the question.</span>
Answer:
see explanation
Step-by-step explanation:
The Remainder theorem states that if f(x) is divided by (x - h) then
f(h) is the remainder, thus
division by (x - 1) then h = 1
f(1) = 4(1)³ - 7(1)² - 2(1) + 6
= 4 - 7 - 2 + 6 = 1 ← remainder
The factor theorem states that if (x - h) is a factor of f(x), then f(h) = 0
Here f(1) = 1
Hence (x - 1) is not a factor of f(x)
