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KATRIN_1 [288]
3 years ago
7

What’s the value of x?

Mathematics
2 answers:
11Alexandr11 [23.1K]3 years ago
3 0

Answer:

98 degrees

Step-by-step explanation:

m<H = 45, m<F = 53

180 = 45 + 53 + (180-x)

82 = 180-x

x+82 = 180

x = 98

Cerrena [4.2K]3 years ago
3 0

Answer:

Step-by-step explanation:

The sum of the angles in a triangle is 180 degrees. This means that

Angle F + angle G + angle H = 180

Therefore,

53 + 45 + angle G = 180

98 + angle G = 180

Subtracting 98 from the left hand side and the right hand side of the equation, it becomes

98 - 98 + angle G = 180 - 98

angle G = 82 degrees

The sum of angles on a straight line is 180 degrees. Therefore,

x + 82 = 180

Subtracting 82 from the left hand side and the right hand side of the equation, it becomes

x + 82 - 82 = 180 - 82

x = 98 degrees

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Emilio asked his aunt for $20 to buy supplies for his lemonade stand. Once his stand opened he made $40 a day
FrozenT [24]

The equation that represents profit is $40x - $20.

The profit after 5 days in business is $180.

The profit after 10 days in business is $380.

The profit after 10 days in business if revenue is $45 is $430.

<h3>What is profit? </h3>

Profit is total revenue less total cost.

Profit = total revenue - total cost

Profit = $40x - $20

Where:

x = number of days

<h3>What is the total profit after 5 days and 10 days? </h3>

$40(5) - $20

= $200 - $20

= $180

$40(10) - $20

$400 - $20

$380

<h3>What is total profit if revenue is $45? </h3>

$45(10) - $20

= $450 - $20

= $430

To learn more about profit, please check: brainly.com/question/26181966

8 0
2 years ago
How are the rules for adding and subtracting negative numbers similar to adding and subtracting positive numbers? Justify your r
Fantom [35]

Answer: the rules are

+(+) Two like signs become a positive sign

−(−) 6−(−3) = 6 + 3 = 9

+(−) Two unlike signs become a negative sign

−(+)

Step-by-step explanation:

Example:  3+(+2) = 3 + 2 = 5, 6−(−3) = 6 + 3 = 9, 7+(−2) = 7 − 2 = 5,8−(+2) = 8 − 2 = 6  hope this helps you :)

8 0
3 years ago
After spending some time looking for his pump, Marlon pumps up an uninflated balloon, pumping air into it at a constant rate. He
galina1969 [7]

Answer:

Graph D

Step-by-step explanation:

Initially, Marlon was looking for his pump. Thus, no air was pumped into the balloon until he got the pump. On getting the pump, he inflated the balloon with air at a constant rate, after which he tied it with a string to prevent the air from escaping.

The analysis is that, at the time he decided to inflate the balloon till he got a pump, the volume of air in the balloon is zero with respect to time. Pumping air at a steady rate into the balloon increases the volume of air flowing into it gradually and steadily.

When the volume got to a definite amount, he stopped pumping air and tied with a string. Thus, the volume of air in the balloon remains constant.

8 0
3 years ago
You are ordering a sandwich for lunch. If the sandwich shop boasts that they have 25 different toppings for their sandwiches, an
Blizzard [7]

Step-by-step explanation:

Number of Combinations

= 25C0 + 25C1 + 25C2 + 25C3 + 25C4 + 25C5

= 1 + 25 + 300 + 2300 + 12650 + 53130

= 68,406.

There are a total of 68,406 combinations.

6 0
3 years ago
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100 POINTS (urgent) Write an equation of a line that passes through the point (2, 3) and is parallel to the line y =3/2X + 5
DIA [1.3K]

Answer:

C.  3/2x

Step-by-step explanation:

Firstly, we know that the slopes are the same because parallel lines have the same slope. Then we can find the y-intercept by using the slope and point in slope-intercept form.  

y = mx + b ---> plug in known values

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3 = 3 + b ---> Subtract 3 from both sides.  

0 = b

Since the intercept is 0, you will not see a number after the slope and x.

3 0
3 years ago
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