Answer:
m=22.5
Step-by-step explanation:
m is proportional to n means there is some constant k such that:
m=kn
If m=5 when n=4 then we have the following equation to solve for our constant k:
5=k(4)
5=4k
Divide both sides by 4:
5/4 =k
So k=5/4 no matter what (m,n) pair they give you where the equation is m=kn.
m=(5/4)n
What is m when n=18?
m=(5/4)(18)
m=(5/2)(9)
m=45/2
m=22.5
Answer:
B. x = 15, m∠Q = 75°
Step-by-step explanation:
Given:
m∠P = 105°
m∠Q = 
Angles P and Q are supplementary angles
To find value of
and m∠Q.
Solution:
[Sum of supplementary angles =180°]
[Substitution ∵ m∠P = 105° and m∠Q =
]
Subtracting both sides by 105°.

Dividing both sides by 5.
∴ 
∴ 
If the room is (6/34)" by (4/12)" on the drawing, the bedroom is (12/19)' by (4/3)'
Y-(-1)= -3(x-5)
y+1= -3x+15
y= -3x+14
Answer:
B = 54°; a ≈ 1.86; b ≈ 4.19
Step-by-step explanation:
The remaining angle is ...
B = 180° -105° -21° = 54°
The law of sines tells you the side lengths are in proportion to the sines of the angles:
a = 5·sin(A)/sin(C) ≈ 1.86
b = 5·sin(B)/sin(C) ≈ 4.19