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4vir4ik [10]
2 years ago
13

Find the measure of each acute angle.

Mathematics
2 answers:
miss Akunina [59]2 years ago
8 0

Answer:

the top angle is 48

the bottom right  angle is 42

Step-by-step explanation:

The sum of the angles of a triangle is 180

90 + 8x+7x = 180

Combine like terms

90 +15x = 180

Subtract 90 from each side

15x = 180-90

15x = 90

Divide by 15

15x/15 =90/15

x = 6

8x = 8*6 = 48  so the top angle is 48

7x = 7*6 = 42 so the bottom angle is 42

Whitepunk [10]2 years ago
8 0

Solution given:

8x°+7x°+90°=180°[sum of interior angle of a triangle is 180°]

15x=180°-90°

x=90/15

x=6°

<u>8</u><u>x</u><u>=</u><u>8</u><u>*</u><u>6</u><u>=</u><u>4</u><u>8</u><u>°</u>

<u>7</u><u>x</u><u>=</u><u>7</u><u>*</u><u>6</u><u>=</u><u>4</u><u>2</u><u>°</u>

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Cleo wants to jion a gym. There is an initiation fee of $24.99, and each month of membership costs $12.50. If Cleo pays $174.99,
mamaluj [8]

Answer: The membership will last for 12 months.

Step-by-step explanation:

Let x represent the number of months that the membership would last.

Cleo wants to join a gym. There is an initiation fee of $24.99, and each month of membership costs $12.50. This means that the total cost of using the gym for x months would be expressed as

12.5x + 24.99

If Cleo pays $174.99, it means that

12.5x + 24.99 = 174.99

12.5x = 174.99 - 24.99

12.5x = 150

x = 150/12.5

x = 12

6 0
3 years ago
The population of a city in the year 2000 was 4,400. In 2010, the population was 5,060. Find the percent increase in the populat
larisa86 [58]

Answer:

total population in the year 2000=4400

total population in the year 2010=5060

no of people increased=5060-4400

=660

increase percent=660/4400*100%

=3/20*100%

=15%

Step-by-step explanation:

15/100*5060

0.15*5060

759

in 2020 population will be

5060+759

5819

therefore the population will be 5819 in 2020

6 0
3 years ago
Read 2 more answers
How long have the nashville predators been a team?
olganol [36]
This is the Internet. It's really easy to look up.

3 0
3 years ago
Use the properties of exponential and logarithmic functions to solve each system. Check your answers.
BlackZzzverrR [31]

The solved logarithmic function is 2x - y = e and x + y = 8 for log (2x - y) = 1 and log (x + y) = 3 log 2 respectively.

What is a logarithmic and exponential function?

Logarithmic functions and exponential functions are inverses of each other. The logarithmic function is denoted by using the word log while exponential by using the alphabet,  e. For example log 10 = 1 and e^2.

Solving the given expressions: log (2x - y) = 1 and log (x + y) = 3 log 2

Applying given properties of logarithmic and exponential function;

log a + log b = log (ab)

4 log x = log x⁴

e^(log x) = 1

e^(x + y) = (e^x) × (e^y)

Take expression, log (2x - y) = 1

Applying exponential on both sides, we get,

e^(log 2x - y) = e^1

2x - y = e

To Check Results,

Taking logarithm both sides,

log (2x - y) = log e

log (2x - y) = 1

Thus, the answer is verified.

Take expression, log (x + y) = 3 log 2

Applying exponential on both sides, we get,

e^(log (x + y) = e^(3 log 2)

x + y = e^(log 8)

x + y = 8

To Check Results,

Taking logarithm both sides,

log (x + y) = log 8

log (x + y) = 3 log 2

Thus, the answer is verified.

Hence, the solved expression is 2x - y = e and x + y = 8 for log (2x - y) = 1 and log (x + y) = 3 log 2 respectively.

To learn more about the logarithmic and exponential functions, visit here:

brainly.com/question/13473114

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3 0
1 year ago
Click and drag like terms onto each other to simplify fully.<br> -1+4-67-5
vampirchik [111]

Answer:

Step-by-step explanation:

Here are your steps

Step 1

-1+4-67-5  Simplify by Adding

-64-5

Step 2

-64-5  Subtract

Your answer would be -69

4 0
2 years ago
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