Answer:
∠ C = 118°
Step-by-step explanation:
DE = DF , then Δ DEF is isosceles with base angles congruent , then
∠ DEF = ∠ DFE = 
= 
= 62°
∠ DFE and ∠ DFB are adjacent angles on a straight line and sum to 180° , so
∠ DFB = 180° - 62° = 118°
BCDF is a parallelogram ( opposite sides are parallel )
The opposite angles of a parallelogram are congruent , then
∠ C = ∠ DFB = 118°
The answer is b=-1 hopefully the s up so you can see my work and understand how I did it.
Answer:
C. 400 miles
Step-by-step explanation:
In each hour, it travels 80 miles. (That is the meaning of "80 miles per hour.") So you can add up the distances over a period of 5 hours:
80 miles + 80 miles + 80 miles + 80 miles + 80 miles
After the first sum (80+80=160), you can see what the correct answer will be. Continuing, you find the sum to be ...
= 400 miles
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Multiplication was invented to make repeated addition easier.
5 × 80 miles = 400 miles
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Strictly speaking, you are multiplying numbers with units here:
(5 h) × (80 mi/h) = 400 mi·h/h = 400 mi . . . . . . the units h/h cancel
We know, 1 inch = 1/12 feet
so, 5151 inch = 5151 * 1/12 = 429.5
So, your final answer is 429.5
Hope this helps!
Answer:
Step-by-step explanation:
Law of cosines: c^2 = a^2 + b^2 − 2ab cos(C)
Used to find: the angles of a triangle when we know all three sides
We are looking for: Angle Q. The side opposite Angle Q (30) can be c. Line segments RQ and QS are a(17) and b(18).
30^2 = 18^2 + 17^2 - 2(17)(18) cos (q)
