Answer:
Both of these triangles are congruent.
Step-by-step explanation:
All 3 angle measures of both of the triangles are equivalent and correlate to each other. This makes the triangles congruent.
30°
A strait line is 180°
75°+75°=150°
180°-150°=30°
Answer:
D. {-8, -5, 3, 7}
Step-by-step explanation:
__________
Answer:
a pair of corresponding sides must be shown congruent
Step-by-step explanation:
The triangles are "similar" if corresponding angles are congruent. The triangles will only be "congruent" if corresponding sides are also congruent. The additional information needed is that <em>there is one congruent pair of corresponding sides</em>. (If there's one pair, all pairs of corresponding sides will be congruent.)
Having one pair of corresponding sides congruent would allow you to invoke either of the ASA or AAS congruence postulates.
Answer:
6,535.06 feet
Step-by-step explanation:
The set up is right angles
hypotenuse = 7000feet
angle of elevation = 21 degrees
Required
horizontal distance (adjacent)
Using SOH, CAH TOA trig identity
cos theta = adj/hyp
cos 21 = adj/7000
adj = 7000 cos 21
adj = 7000(0.9336)
adj = 6,535.06
Hence the HORIZONTAL distance until the plane flies over the island is 6,535.06 feet
