Answer:
y + 7 =
(x + 6)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
Here m =
and (a, b ) = (- 6, - 7 ) , then
y - (- 7) =
(x - (- 6) ) , that is
y + 7 =
(x + 6)
Answer:
Part 1) Option C. Same side interior angles
Part 2) Option A. 
Part 3) Option B. 
Step-by-step explanation:
Part 1) we know that
If p and q are parallel
then
m<3 and m<5 are consecutive interior angles or Same side interior angles
and

Part 2) we know that
-----> by consecutive interior angles (supplementary angles)
we have that


so
substitute

Part 3) Find the measure of angle 5
we know that

Solve for x




substitute the value of x

Step-by-step explanation:
the area of a circle (all 360°) is
pi×r²
with r being the radius.
the area of a circle segment is just the corresponding fraction of the whole circle.
so the area of a segment of x degrees is
pi×r² × x/360
in our case we know
pi×42240² × x/360 = 180 mi²
we also know that there are 5280 ft in 1 mile.
so, the radius is actually
42240 / 5280 = 8 miles
and therefore our equation resulting in mi² has to use miles and not ft and has to look that way :
pi×8² × x/360 = 180 mi²
pi×64 × x/360 = 180
pi×64 × x = 180×360
pi×x = 180×360/64 = 1012.5
x = 1012.5/pi = 322.2887598...°
so, the angle of the segment of a circle with the area of 180 mi² and the radius of 8 mi is 322.2887598...°
Answer:
The demabd function is:

Step-by-step explanation:
The demand follow the linear equation 
1. When p=$2.00 and q=9000, the equation is:

2. Whe p=$4.00 and q=0, the equation is:

3. Solve equation (1) for b:

4. Replace the value of b in equation (2)

The value of m is 4500
5. Calculate b, replacing m:

The value of b is 18000
Subtract 70 from 16, and you get 54.