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laila [671]
3 years ago
12

Need help with this..

Mathematics
1 answer:
Illusion [34]3 years ago
3 0

Answer:

Step-by-step explanation:

m4 + m3 = 180 (Supplementary angle on 1 line)

m6 +m3 = 180 (Supplementary angle)

-> m6=m4

-> x+80 = 4x-10

-> 90 = 3x

-> x = 30

-> m6=m4 = 80+30 = 110

...

m1+m4 = 180 (Supplementary angle on 1 line)

-> m1 = 180 -110 = 70

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A person's height is 5-ft 3-in. Their shadow has a length of 3-ft 6-in. If a nearby tree has a shadow of length 10-ft 4-in, what
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Answer: The height of tree = 15 ft. 6 inches

Step-by-step explanation:

Given: A person's height is 5-ft 3-in = [5 x (12 )+3 ]  inches    [ 1 ft= 12 inches]

= 63 inches      

Their shadow has a length of 3-ft 6-in = [3 x 12+6] inches    

= 42 inches

If a nearby tree has a shadow of length 10-ft 4-in = [10 x 12+4] inches

= 124 inches.

At the same time,

\dfrac{\text{Height of tree}}{\text{Height of person}}=\dfrac{\text{Length person's shadow}}{\text{Length of tree's shadow}}\\\\\dfrac{\text{Height of tree}}{63}=\dfrac{124}{42}\\\\\Rightarrow\ \text{Height of tree}=\dfrac{124}{42}\times63=186\ inches\\\\=\dfrac{186}{12}= 15.5 ft\ or\ 15 ft.\ 6\ inches.

Hence, the height of tree = 15 ft. 6 inches

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Step-by-step explanation:

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<em>Comment on supplementary angles</em>

Angles that form a linear pair are supplementary. Angles do not have to form a linear pair to be supplementary. They merely have to have a sum of 180°. Here, the supplementary angles of interest do form a linear pair, so finding the other angle of the pair means only finding the other point that names the line being formed by the pair.

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Answer:

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