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torisob [31]
4 years ago
7

HELLLLPPPP MEEE PLEASE AND THANK YOU

Mathematics
1 answer:
Sonja [21]4 years ago
3 0

Step-by-step explanation:

180° = m<A + m<B + m<C

180° = 45° +60° + m<C

180° = 105° + m<C

m<C = 180° - 105 °

m<C = 75°

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What are the x- and y- coordinates of point E, which partitions the directed line segment from J to K into a ratio of 1:4?
Aleks [24]

The x- and y- coordinates of point E, which partitions the directed line segment from J to K into a ratio of 1:4 is (17, 11)

<h3>Midpoint of coordinate points</h3>

The midpoint of a line is the point that bisects or divides the line into two equal parts

If the line JK is partitioned into the ratio 1:4 with the following coordinates

J(-15, -5) and K(25, 15)

Using the expression below;

M(x, y) =[mx1+nx2/m+n, my1+ny2/m+n]

Substitute the ratio and the coordinates

M(x, y) =[1(-15)+4(25)/4+1, 1(-5)+4(15)/1+4]

M(x, y) = [(85)/5, 55/5]

M(x, y) = (17, 11)

Hence the x- and y- coordinates of point E, which partitions the directed line segment from J to K into a ratio of 1:4 is ((17, 11)

Learn more on midpoint of a line here: brainly.com/question/5566419

#SPJ1

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