Answer:
36
Step-by-step explanation:
Brainliest when you can if you will!!!
Answer: x = 15
Step-by-step explanation:
First, we will have to acknowledge that Angle M is a complementary angle (that means that it is 90 degrees) meaning that 2x° + 4x° will equal 90 degrees. So, let’s set up this equation.
90 = 2x + 4x
90 = 6x
=
15 = x
Therefore, the x is 15.
We have formual for area of rectangle A=l*w where l is length and w is width. We can transform it to obtain width
A=l*w /:l (divide both sides by l)
Knowing that A=189 and l=21 we can substitute our data to the formula
w=
- its the result
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.