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.
Answer:
approx. 15.23
Step-by-step explanation:
6^2+14^2=c^2
1.
An expression of the form
is called a "compound fraction"
Compound fractions can be written as simple fractions by multiplying c to a, and then adding the product to c as follows:
for example,
can be written as:
2.
when we subtract or add a fraction
from an integer k,
we first write k as a fraction with denominator n. We can do this as follows:
for example, if we want to subtract
from 8,
we first write 8 as a fraction with denominator 2:
3.
Thus,
4.
The simple fraction 7/2 is not an option, so we write it as a compound fraction as follows:
(So write 7 as the sum of the largest multiple of 2, smaller than 7 + what is left. In our case these numbers are 6 and 1, then proceed as shown)
5. Answer: D
Formula: C= 2(pi)r
C = 6.28
pi = 3.14
r = ?
6.28 = 2(3.14)r
6.28 = 6.28r
r = 1
So here you're using system of equations. You can solve systems by graphing, elimination, or substitution. Ill use substitution. First lets solve for x. take the second equation and add y to both sides to get x by itself:
x - y = 75
x = y + 75 now plug y+75 in for x in the first equation
x + y = 743
(y +75) +y = 743 solve for y
2y +75 = 743 subtract 75
2y = 668 divide both sides by 2
y = 334
now plug this into any of the 2 equations to solve for x i chose the second one
x - y = 75
x - 334 = 75 add 334 to both sides
x = 409
This means x, sold before the tournament is 409 and y, sold at the door is 334. That means the assistant is wrong and accidentally flipped the two answers
