Find the centroid of the triangle with these vertices: P (−2,8), Q (12,6), and R (5,4).

(5,6)

Step-by-step explanation:

Here,

P(-2,8)=(x1,y1)

Q(12,6)=(x2,y2)

R(5,4)=(x3,y3)

Now,

G(x,y)=[x1+x2+x3|3,y1+y2+y3|3]

=[-2+12+5|3,8+6+4|3]

=[15|3,18|3]

=(5,6)

c. 65°

step-by-step explanation:

we are given a triangle with two known angles, 62° and 53°, while the third angle x is unknown and we are to find its value.

we know that the sum of angles in a triangle is equal to a total of 180 degrees. so we can write it as:

x + 62° + 53° = 180°

solving to find the value of x:

x = 180 - (62 + 53) = 65°

therefore, the value of x in this triangle is 65°.

f is the midpoint of