Answer:
^
Step-by-step explanation:
Answer:
Step-by-step explanation:
Remember that the sum of the interior angles of a triangle always equal 180. Therefore:
Let's subtract 102 from both sides. This yields:
Now, notice the that both ∠1 and ∠Y have exactly one arc mark.
Arc-marks denote congruence. Therefore, ∠1 and ∠Y are congruent to each other. In other words:
So, we can substitute ∠Y for ∠1 for our equation. This yields:
Combine like terms:
Divide both sides by 2. So, the measure of our angle is:
And we're done!
23-27 is 4 and 28-31 is 17
Answer: p=7/2=3.5
Step-by-step explanation:
Given
-4p+9=-5
Subtract 9 on both sides
-4p+9-9=-5-9
-4p=-14
Divide -4 on both sides
-4p/-4=-14/-4
p=7/2=3.5
Hope this helps!! :)
Please let me know if you have any questions
Answer:
(0,4)
Step-by-step explanation:
The line AD is a median, because D is the midpoint of BC.
The centroid is the point of intersection of three medians of triangle, we don't need to depict any another median, because we know that centroid divide each median in ratio 2:1 from the vertices of a triangle from which a median was depicted. That's obvious that the median AD was depicted from A. Let the point of centroid be M. AM:MD is 2:1. So we should find the coordinates of D
xD= (xa*1+xd*2)/ (2+1)= ((-4)*1+2*2)/3=0
yd= (ya*1+yd*2)/ (2+1)= (2*1+ 5*2)/3=12/3=4
(0,4)