Travel direction 3i + 2j, slope = 2/3.
We have slope and a point (-2,1) this gives us a line equation:
LINE BEFORE THE TURN, EQUATION: y = (2/3)x + 1
The point of intersection of the two lines:
1) through (-2,1) with slope 2/3 and;
2) through (-1,6) with slope 3/2.
9514 1404 393
Answer:
55,637.8 square inches
Step-by-step explanation:
We can find side n using the Law of Sines:
n/sin(N) = p/sin(P)
n = p(sin(N)/sin(P)) = 600·sin(64°)/sin(96°)
n ≈ 542.246913 . . . . inches
The angle O is ...
O = 180° -N -P = 180° -64° -96° = 20°
Then the area is ...
A = 1/2·np·sin(O)
A = (1/2)(542.246913 in)(600 in)·sin(20°) ≈ 55,637.81008 in²
The area of ∆NOP is about 55,637.8 in².
8 1/3% would be equal to 25/4%
Answer:
10+8=8+5+5
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
A. Equilateral triangle is a triangle with all sides congruent. These triangles are not equilateral, because there is no information about all three sides of each triangle.
B. Isosceles triangle is a triangle with two sides congruent. These triangles are not isosceles, because there is no information about congruence of two sides of each triangle.
C. ASA posrulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. This is exactly what you are given in this question, so this option is true.
D. This option is false, because triangles can have two pairs of congruent angles (for example, 20° and 40°), then third pair are also congruent angles not necessarily right (180°-20°-40°=120°≠90°).
