Answer:
A) AAS; B) LA; C) ASA
Step-by-step explanation:
AAS is the Angle-Angle-Side congruence statement. It says that if two angles and a non-included side of one triangle are congruent to the corresponding two angles and non-included side of a second triangle, then the triangles are congruent. In these triangles, ∠E≅∠K, ∠F≅∠L, and DE≅JK. These are two angles and a non-included side; this is AAS.
LA is the leg-acute theorem. It states that if a leg and acute angle of one triangle is congruent to the corresponding leg and acute angle of another triangle, then the triangles are congruent.
The leg we have congruent from each triangle is DE and JK. We also have ∠E≅∠K and ∠F≅∠L, both pairs of which are acute. This is the LA theorem.
ASA is the Angle-Side-Angle congruence statement. It says that if two angles and an included side of one triangle are congruent to the corresponding two angles and included side of another triangle, then the triangles are congruent.
We have that ∠D≅∠J, DE≅JK and ∠E≅∠K. This gives us two angles and an included side, or ASA.
Answer:
28
Step-by-step explanation:
The number is proportional the central angle in the chart. 360° represents all 72 of the people, so 140° (the size of the Oblivion sector) will represent ...
(140°/360°)×(72 people) = 28 people
125,594 miles. Canada coastline (x) - U.S. Coastline (12,383) = 113,211.
x - 12,383 = 113,211
x - 12,383 + 12,383 = 113,211 + 12,383 (by addition property of equality)
x = 113,211 + 12,383
x = 125,594
Basically, you add the two given numbers together.
Answer:
15 deg
Step-by-step explanation:
Sine and cosine are co-functions, so
sin x = cos(90 - x)
sin 25 = cos(90 - 25)
sin 25 = cos 65
y + 50 = 65
y = 15
