What is the measure of ZA? A [?] degrees 87° 35 B Enter

Mathematics

1 answer:

mamaluj [8]3 years ago

5 0

Angle A is 58 degrees.

87 + 35 = 122
180 - 122 = 58

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lidiya [134]

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2 years ago

After studying the diagram shown, Michael makes the following conclusions:

inn [45]

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Therefore, Michael concludes option C)

C) $(DA)^{2}=(DG)^{2}+(AG)^{2}$

Step-by-step explanation:

Given:

1. DG = 3 and the area of square DEFG is 9.

2. AG = 4 and the area of square GHIA is 16.

3. DA = 5 and the area of square ABCD is 25.

So we have,

$(DG)^{2}=3^{2}=9\\ \\(AG)^{2}=4^{2}=16\\\\(DA)^{2}=5^{2}=25\\$

Now Add DG² and AG² we get

$(DG)^{2}+(AG)^{2}=9+16=25=(DA)^{2}$

Which is also called as Pythagoras theorem i.e

$(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}$

Therefore, Michael concludes option C)

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3 years ago

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guajiro [1.7K]

$\bf -3\rule[0.35em]{2em}{0.25pt}-2\rule[0.35em]{2em}{0.25pt}-1\rule[0.35em]{2em}{0.25pt}\stackrel{\to ~\hfill \textit{\Large all these ones from 0 to 7}~\hfill \leftarrow }{0\rule[0.35em]{2em}{0.25pt}1\rule[0.35em]{2em}{0.25pt}2\rule[0.35em]{2em}{0.25pt}3\rule[0.35em]{2em}{0.25pt}4\rule[0.35em]{2em}{0.25pt}5\rule[0.35em]{2em}{0.25pt}6\rule[0.35em]{2em}{0.25pt}7}$