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3 years ago

The measure of angle A is 62 degrees . Find the measures of the complement and supplement of angle A

Mathematics

1 answer:

Keith_Richards [23]3 years ago

6 0

Answer:

Complement: 118°. Supplement: 28°

Step-by-step explanation:

To determine the supplement, subtract the given angle from 180.

180 - 62 = 118

To determine the complement, subtract the given angle from 90.

90 - 62 = 28

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It takes a new mail carrier 4 hours to deliver the mail on route a. It takes an experienced mail carrier 3 hours to do the same

Pani-rosa [81]

Answer: $\frac{12}{7}\ \text{hours}$

Step-by-step explanation:

Given

New mail carrier takes 4 hours for delivery i.e.

New mail carrier completes $\frac{1}{4}$ part of work in 1 hour

Old mail carrier takes 3 hours for delivery i.e.

mail carrier completes $\frac{1}{3}$ part of work in 1 hour

If they work together, they complete the work in x hours i.e.

$\Rightarrow \dfrac{1}{x}=\dfrac{1}{4}+\dfrac{1}{3}\\\Rightarrow \dfrac{1}{x}=\dfrac{3+4}{12}\\\Rightarrow x=\dfrac{12}{7}\ \text{hours}$

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2 years ago

One number is 9 less than a second number. Their sum is -27. What is the first number?

avanturin [10]

Answer:

x= first number y= second

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Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

A jeweler wants to combine a 60% gold alloy with a 20% gold alloy to make 1000 grams of 50% gold alloy. How many grams of 60% al

kramer

Answer:

750 grams of 60% alloy

Step-by-step explanation:

Define x = amount of 60% alloy and y = amount of 20% alloy

Equating the amounts of gold:

0.6x+0.2y = 1000(0.5)

Since there must be 1000 grams total:

x+y = 1000

Writing the 2 resulting equations together:

0.6x + 0.2y = 500

x + y = 1000

Multiply the first equation by 5:

3x + y = 2500

x + y = 1000

Subtracting the 2nd equation from the 1st:

2x = 1500

x = 750

Answer: 750 grams of 60% alloy

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1 year ago

The difference of two numbers is 8. What two numbers will minimize the product? The numbers are ___ and ____.

baherus [9]

Answer:

-4 and 4

Step-by-step explanation:

Have a good day.

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2 years ago

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1) Mike's sister, Kellie, is 4 years older than he is. Let m be Mike's age and let k be Kellie's age. ) Complete the table to sh

sveta [45]

Answer:

10 -> 14

15-> 19

20-> 24

25-> 29

Step-by-step explanation:

Add 4 each time

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2 years ago