The problem statement tells you ∠MLK is 61°, so ∠LMK = 180° -68° -61° = 51°. Since a tangent is always perpendicular to a radius, triangles LJM and LJK are right triangles.
Trigonometry tells you ...
tangent = opposite / adjacent
so you can write two relations involving LJ.
tan(51°) = LJ/JM
tan(68°) = LJ/JK
The second equation can be used to write an expression for LJ that can be substituted into the first equation.
LJ = JK*tan(68°) = 3*tan(68°)
Substituting, we have
tan(51°) = 3*tan(68°)/JM
Multiplying by JM/tan(51°), we get
JM = 3*tan(68°)/tan(51°)
JM ≈ 6.01
The radius of circle M is about 6.01.
Answer:
44 students per bus
Step-by-step explanation:
400-4= 396.
396/9=44
Answer: 30 boxes of cupcakes
Step-by-step explanation:
Any time you move up or down, it affects the y coordinate and going up is positive so 5 units up is y + 5.
Moving left or right affects the x coordinate and moving left is negative so x - 3
(x - 3, y + 5)
So the answer is Option C).