Answer:
K=10
Step-by-step explanation:
So first distribute
3x-12=18
add 12 on both sides
3x=30
Divide 3 on each side
x=10
7/7-1/7=6/7 is the rest of work
1/7 work takes 2days
6*1/7=6/7 work takes 6*2days=12days
30 men takes 12 days to finish the rest of work (6/7)
18 men takes 18*12/30= 7.2days
Answer:

Step-by-step explanation:
The picture of the question in the attached figure
we know that
A <u><em>circumscribed angle</em></u> is the angle made by two intersecting tangent lines to a circle
so
In this problem
BC and CD are tangents to the circle
BC=CD ----> by the Two Tangent Theorem
That means
Triangle ABC and Triangle ADC are congruent
so

Find the measure of angle BAC
In the right triangle ABC

substitute given value


Find the measure of angle BAD


Find the measure of minor arc BD
we know that
-----> by central angle
therefore

Think of it as (-4x+1)(3x+2) then distribute: -4x x 3x= -12x^2, -4x x 2= -8x, 1 x 3x = 3x, and 2 x 1=2. put together all the answers we just got so: -12x^2 - 8x +3x +2 then simplify to get -12x^2 -5x +2