121.666666 (6 is repeating)
<span>The total distance that the hiker walked does not have any relation with the starting time nor the ending time of walking. Also it doesn`t matter is the hiker going east, west, north or south. It is related only with the distances that he walked. Therefore: d = 6 km + 4 km + 6 km + 8 km = 24 km . Answer: B ) 24 km. Hope this helps. Let me know if you need additional help!</span>
Answer:
B. Sometimes
Step-by-step explanation:
Opposite angles of a parallelogram are always congruent, and consecutive angles are always supplementary (first image).
However, consecutive angles can be congruent if they are each 90°. The parallelogram is then a rectangle or a square (second image).
Thus, pairs of consecutive angles of a parallelogram are <u>sometimes</u> congruent.
A. 36 is the correct answer
Answer:
26.0 cm
Step-by-step explanation:
Given quadrilateral ABCD with diagonal BD forming triangles ABD and BCD, and angles A=90°, C=52°, ADB=35°, and CBD=52°, you want the length of CD to 3 significant figures.
<h3>Law of Sines</h3>
The law of sines tells you the relation between sides and opposite angles is ...
a/sin(A) = b/sin(B) = c/sin(C)
This lets us write two proportions that can be solved for the measure of CD.
In triangle ABD:
BD/sin(A) = AB/sin(D)
BD = AB·sin(90°)/sin(35°) = 12 cm/sin(35°) ≈ 20.921 cm
In triangle BCD:
CD/sin(B) = BD/sin(C)
CD = BD·sin(B)/sin(C) = 20.921 cm·sin(102°)/sin(52°) ≈ 25.969 cm
The length of CD is about 26.0 cm.