Answer:
B. 68°
Step-by-step explanation:
Since, opposite sides of the quadrilateral MNPQ are parallel.
Therefore, it is a parallelogram.
Measures of the opposite angles of a parallelogram are equal.
So,
(6x - 2)° = (4x + 36)°
6x - 2 = 4x + 36
6x - 4x = 36 + 2
2x = 38
x = 38/2
x = 19
Answer:
10
Step-by-step explanation:
2 + 5 = 7
3 + 5 = 8
4 + 5 = 9
5 + 5 = 10
Adults = 9
Children = 2
Let x be the number of adults.
11-x is the number of children.
22x + 15(11-x) = 228
22x + 165 - 15x = 228
22x - 15x = 228 - 165
7x = 63
7x / 7 = 63 / 7
x = 9 number of adults.
11 - x = 11 - 9 = 2 number of children.
To check:
22x + 15(11-x) = 228
22(9) + 15(11-9) = 228
198 + 30 = 228
228 = 228
(not my answer btw)
Answer:
A
Step-by-step explanation:
The triangles aren't similar.
The triangles share a side so we cant use anything involving SSS SAS.
The triangles has only known congruent angle so we cant use AA.
9514 1404 393
Answer:
14.9 cm
Step-by-step explanation:
To find c using the Law of Sines, you must know angle C. That is found from ...
C = 180° -A -B = 180° -150° -12° = 18°
Then the law of sines tells you ...
c/sin(C) = b/sin(B)
c = b·sin(C)/sin(B) = (10 cm)·sin(18°)/sin(12°)
c ≈ 14.9 cm