Answer:
(7x + 10y)
Step-by-step explanation:
To find this add (3x - 4y) to itself to calculate to lengths of the shorter sides.
(3x - 4y) + (3x - 4y) = 6x - 8y
Subtract this from (20x + 12y)
(20x + 12y) - (6x - 8y) = 14x + 20y Divide this by two to get the length of one side
14x + 20y / 2 = 7x + 10y
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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:
see explanation
Step-by-step explanation:
Parallel lines have equal slopes.
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 5x + 1 ← is in slope- intercept form
with slope m = 5
Rearrange 2y - 10x + 3 = 0 into this form
Add 10x to both sides
2y = 10x ( subtract 3 from both sides )
2y = 10x - 3 ( divide all terms by 2 )
y = 5x -
← in slope- intercept form
with slope m = 5
Since both lines have a slope of 5 then they are parallel.