Answer:
Option B is right
Step-by-step explanation:
We have in a triangle there are some properties inherent.
One is the perpendicular bisectors of all sides are concurrent.
These three concur at a point called the circumcentre of the triangle.
When we draw perpendicular bisector for a side AB, we get that all points on the perpendicular bisector are equidistance from A and B.
When we take the point of intersection of perpendicular bisector of AB and BC, we have the intersecting point S(say) is equidistant from A and B and also from B and C
In short this is equidistant from all 3 vertices and hence is centre of circumcicle of triangle ABC
Answer: Part a: b represents the base fee charged for the "house call" job
m is the hourly rate.
x is the number of hours at the job.
y represents the total cost for the job.
Part b:. The y-intercept is 65
The equation follows y=mx+b
Y= 42x + 65
Part c:. $275
Step-by-step explanation:
The difference between the two total costs, (Camilla 191 - Connor 107)
= $84. That is the rise. The run is the difference in time, 2 hours. 84/2 = 42.
m= 42
42 from 107 to find b, the base fee, 65 This is the y-intercept.
The equation is y= 42x + 65
Quick check using Camilla's bill: 191 = (42)(3) + 65
191 = 126 + 65 True!
Part C:
To find the total cost of the plumber's 5 hour job,
Y = 42(5) + 65
Y= 210 + 65
Y= $275
Step-by-step explanation:
you know, a single side cannot be longer than the other 2 sides combined.
otherwise, the triangle cannot "close".
so, it starts with 12 cannot be longer than 5 + n.
therefore, n must be at least 7.
and n cannot be longer than 5+12 = 17
7 and 17 I would normally rule out a well, because in these cases the triangle would just be a flat line, when the 3rd side is as long as the other 2 combined.
so, in reality for a real, visible triangle, the range of valid values is 8 .. 16.
that is 9 positive integer values.
Answer:
B. SSS
Step-by-step explanation:
All of the sides are the same
lets solve for x
flip the equation
add-4 to both sides
divide both sides by 3
x=1/3y+-4/3
