Answer:
Option 3) 24 is right.
Step-by-step explanation:
Given in the picture is a triangle LMN. sides are MN = 12, LN = 21 and LM = x cm
Also MO is the angle bisector of angle M.
By applying angle bisector theorem for triangles we get
LM/MN = LO/NO
i.e. x/12 = 14/7
Simplify to get x = 24
Hence option 3 is right
Verify:
Check whether angle bisector theorem is true.
The proportion LM/MN =24/12 = 2
The proportion LO/NO =14/7 =2
Both are equal and hence verified
Answer:
b ≈ 7.8
Step-by-step explanation:
using the law of sines
∠ A = 180° - 105° - 40° = 180° - 145° = 35° , then
= 
( cross- multiply )
b × sin35° = 7 × sin40° ( divide both sides by sin35° )
b = 
≈ 7.8 ( to the nearest tenth )
Might be 1? Because it is 100 each
Slope of y=1-2x is -2
Using point intercept form:
y-1=-2(x-3)
y-1=-2x+6
y=-2x+7
