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kogti [31]
2 years ago
8

An angle measures 58.4° more than the measure of its complementary angle what is the measure of each angle?

Mathematics
1 answer:
avanturin [10]2 years ago
7 0

Answer:

15.8

74.2

Step-by-step explanation:

Call the two angles A and B

A = B + 58.4              Substitute for A

A + B =90

B + 58.4 + B = 90      Combine like terms  

2B + 58.4 = 90          Subtract 58.4

2B = 90 - 58.4

2B = 31.6                    Divide by 2

B = 15.8

A = 15.8 + 58.4           Fin A

A = 74.2

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Hello! First, let's get some important information:

Luke works in the:

  • week → grocery store → $16/hour
  • weekend → nursery → $22/hour

Now, let's analyze the questions:

<h3>a) How much does he earn if he works 5 hours at the grocery store and 8 hours at the nursery? </h3>

To find the amount he will receive, you must multiply the amount of 1 hour by the number of hours worked. Look:

\mathrm{Grocery\:Store}\\\\\$16 \cdot 5 \:\mathrm{hours}= \$80\\\$22 \cdot 8\:\mathrm{hours}=\$176

<h3>b) How much does he earn if he works g hours at the grocery store and n hours at the nursery?</h3>

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<h3>c) Total pay, 5 hours at the grocery store and 8 hours at the nursery:</h3>

You'll just have to just add the value in each of the jobs:

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