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hjlf
3 years ago
9

Please help me on this question. I forgot how to do it​

Mathematics
1 answer:
NeTakaya3 years ago
5 0

Answer:

141

Step-by-step explanation:

Area of triangle = 24

Area of Trapezoid= 117

117+24

141

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Given:

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Line segment AB partition in the ratio 1 : 5.

To find:

The coordinate of a point that partitions AB.

Solution:

Section formula:

$P(x,y)=\left(\frac{m x_{2}+n x_{1}}{m+n}, \frac{m y_{2}+m y_{1}}{m+n}\right)

Here x_1=16, y_1=4, x_2=34, y_2=40 and m = 1, n = 5

$P(x,y)=\left(\frac{1\times 34+5 \times 16}{1+5}, \frac{1\times 40+5 \times4}{1+5}\right)

$P(x,y)=\left(\frac{ 34+80}{6}, \frac{40+20}{6}\right)

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The coordinate of point that partitions the segment AB is (19, 10).

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According to the scale on a map, 1 inch on the map = 15 miles. How many miles are represented by 2.5 inches on the map?
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