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Blizzard [7]
2 years ago
12

∠1 and ∠2 are complementary. If m∠1 = 4m∠2, find m∠1

Mathematics
1 answer:
77julia77 [94]2 years ago
8 0

Answer:

∠1 = 72°

Step-by-step explanation:

Complementary angles sum to 90°, thus

∠1 + ∠2 = 90, substitute ∠1 = 4∠2 , thus

4∠2 + ∠2 = 90

5∠2 = 90 ( divide both sides by 5 )

∠2 = 18°

Hence ∠1 = 90 - 18 = 72°

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Drag each tile to the correct box.
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Answer: C < B < A

<u>Step-by-step explanation:</u>

First, let's evaluate the growth rate of A from [1, 3]

f(x) = 200\bigg(\dfrac{3}{2}\bigg)^1

    = 300

coordinate is (1, 300)

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    = 675

coordinate is (3, 675)

Average growth rate (AGR) is: \dfrac{675-300}{3-1} = \dfrac{375}{2} = 187.5

AGR (A) = 187.5

*************************************************************************************

Next, let's evaluate the growth rate of B from [1, 3]

The coordinates are already provided as (1, 120) and (3, 480)

Average growth rate (AGR) is: \dfrac{480-120}{3-1} = \dfrac{360}{2} = 180

AGR (B) = 180

*************************************************************************************

Lastly, let's evaluate the growth rate of C from [1, 3]

f(x) = 600(1.2)ˣ

f(x) = 600(1.2)¹

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coordinate is (1, 720)

f(x) = 600(1.2)³

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coordinate is (3, 1036.8)

Average growth rate (AGR) is: \dfrac{1036.8-720}{3-1} = \dfrac{316.8}{2} = 158.4

AGR (C) = 158.4

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