Given:
Point D is the centroid of Triangle ABC and DE = 9.
To find:
The measures of CD and CE.
Solution:
We know that, centroid is the intersection of medians and it divides each median in 2:1.
In triangle ABC, CE is a meaning and centroid D divided CE in 2:1. So,
Let the measures of CD and DE are 2x and x respectively.
DE = 9 (Given)
Now,
And,
Therefore, the measure of CD is 18 units and the measure of CE is 27 units.
2x-2+x+5=90
3x+3=90
-3 -3
3x/3 =87/3
x=29
Answer:
one
Step-by-step explanation:
one
Answer:x=30*
Step-by-step explanation:
90*+30*=120*
*All triangles’ angles = 180*
180*-120*=60*
60*/2=30*
Answer:
68
Step-by-step explanation:
Let:
Number of girls invited = x
Number of boys = x +20
3/4 of boy showed up
2/3 of girls showed up
Exactly 19 did not show up
Therefore, we could say:
Fraction of boys that didn't show up = 1 - 3/4 = 1/4
Fraction of girls that didn't show up = 1 - 2/3 = 1/3
That is,
[1/4 *(x + 20)] + [1/3*x] = 19
[(x + 20) / 4] + x /3 = 19
(3(x + 20) + 4x) / 12 = 19
3x + 60 + 4x = 228
7x = 228 - 60
7x = 168
x = 168 / 7
x = 24
Number of girls, x = 24
Number of boys, x + 20 = 24 + 20 = 44
Total friends invited = (24 + 44) = 68
