Answer:
m<1 = 60°
m<2 = 30°
m<3 = 90°
Step-by-step explanation:
Recall some properties of Rectangle. Thus:
The four angles of a rectangle are right angles = 90° each.
Opposite sides of a rectangle are also parallel to each other.
With the knowledge of these, we can solve for angles 1, 2, and 3.
Thus:
m<1 = 60° (alternate interior angles are congruent)
m<2 + m<1 = 90° (complementary angles)
m<2 + 60° = 90° (substitution)
m<2 = 30° (substraction property of equality)
m<3 = 90° (angle of a rectangle)
9514 1404 393
Answer:
2.2 miles
Step-by-step explanation:
The Law of Cosines can be used to figure this.
c² = a² +b² -2ab·cos(C)
c² = 1.2² +1.9² -2(1.2)(1.9)cos(87°) ≈ 4.811348
c ≈ √4.811348 ≈ 2.193
It is about 2.2 miles across the water from the pier to the restaurant.
Answer:
40b - 4b or 36 b
Step-by-step explanation:
No. of tomatoes in each box = 40
No. of box shipped = b
No. of tomatoes in those b box = b*No. of tomatoes in each box = 40b
No. of tomatoes damaged in each box = 4
No. of box shipped = b
No. of tomatoes damaged in those b box = b*No. of tomatoes damaged in each box = 4b
Thus, total no. of tomatoes that can be sold by store = No. of tomatoes in those b box - No. of tomatoes damaged in those b box = 40b - 4b
Algebraic expression to express the no. of tomatoes that can be sold from those b box is
40b - 4b = 4b(10-1) = 4b(9) = 36b (Answer)
In this case, we must use trigonometry to find the value of x:
Thus the value of x rounded to the nearest tenth is <u>8.2</u>
<u></u>
Hope that helps!
