Answer:
The correct option is (a).
Step-by-step explanation:
The vertices are equidistant from the circumcenter.
Circumcenter of a triangle is a point where the perpendicular bisectors are intersection each other.
In figure (a) the point P is the intersection point of all perpendicular bisector, therefore point P is the circumcenter of triangle ABC and the point P is equidistant from A,B and C.
Therefore option (a) is correct.
In figure (b) the point P is the intersection point of all perpendicular, therefore point P is not the circumcenter of triangle ABC.
Therefore option (b) is incorrect.
In figure (c) the point P is the intersection point of all bisectors, therefore point P is not the circumcenter of triangle ABC.
Therefore option (c) is incorrect.
In figure (d) the point P is the intersection point of all medians, therefore point P is not the circumcenter of triangle ABC.
Therefore option (d) is incorrect.
Answer:
1/6
Step-by-step explanation:
because there are 6 sides to a cube and the 4 is one of them so 1/6. doggo smorts
Answer:
The equation of the line is y - 16 = 3(x - 3)
Step-by-step explanation:
To find the equation of this line, we first need to find the slope. To do that, we use the slope equation.
m(slope) = (y2 - y1)/(x2 - x1)
m = (16 - 4)/(3 - -1)
m = (16 - 4)/(3 + 1)
m = 12/4
m = 3
Now that we have the slope, we can use it and either point in point-slope form.
y - y1 = m(x - x1)
y - 16 = 3(x - 3)
Answer:Let the two unknown numbers be x and y.
So, x-y=40 ........Equation 1
And 0.3(x)= 37.5/100 (y)
From equation 1, x=40+y
Now, multiply through by 100 in equation 2.
We have,
30x = 37.5 (y)
We can multiply through by 10 again,so that the number on the L.H.S becomes a whole number.
Therefore, we have
300x = 375 (y)
Put "x=40+y" in the equation above
That is, 300 (40+y) = 375 (y)
1200 + 300y = 375y
1200 = 375y - 300y
1200 = 75y
Divide both sides by 75 to get your y
Therefore, y =16
From equation 1, we had x= 40 + y
Therefore X = 40 + 16
X= 56
Therefore the two unknown numbers are 56 and 16 respectively.
Step-by-step explanation: