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Ghella [55]
3 years ago
12

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Mathematics
1 answer:
SVEN [57.7K]3 years ago
8 0

Answer:

x = 30

Step-by-step explanation:

The sum of the 3 interior angles of a triangle = 180°, hence

x + x + 10 + 3x + 20 = 180

5x + 30 = 180 ( subtract 30 from both sides )

5x = 150 ( divide both sides by 5 )

x = 30

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Solve the quadratic equation algebraically 5-x<2(x-3)+5
vodka [1.7K]

Answer:

x>2

Step-by-step explanation:

5-x<2(x-3)+5

5-x<2x-6+5

5-x<2x-1

6-x<2x

6<3x

x>2

7 0
3 years ago
Jasmine wants to start saving to purchase an apartment. Her goal is to save $225,000. If she deposits $180,000 into an account t
Y_Kistochka [10]

The time it will take the principal to grow to the desired amount is 0.7 years

Using the compound interest formula :

A = P(1 + r/n)^(nt)

A = final amount = 225,000

P = principal = 180,000

r = rate = 3.12%

n = Number of compounding times per period = 12(monthly)

t = time

225000 = 180000(1 + (0.0312 /12))^(12t)

Divide both sides by 180000

225000/180000 = (1 + (0.0312 /12))^(12t)

1.25 = 1.026^12t

Take the log of both sides

0.0969100 = 0.0111473 × 12t

0.0969100 = 0.1337676t

Divide both sides by 0.1337676 to isolate t

0.0969100 / 0.1337676 = t

0.7244 years

0.7 years

It will take 0.7 years for the amount to grow

Learn more : brainly.com/question/21270833?referrer=searchResults

8 0
3 years ago
Read 2 more answers
What can you say about the sum of consecutive odd numbers starting with 1? that is, evaluate 1, 1c3, 1c3c5, 1c3c5c7, and so on,
Mice21 [21]

Let us add consecutive odd numbers and try to find any relationship.

1. 1

2. 1+3 = 4 ( square of 2 i.e 2^{2} )

3. 1+3+5 = 9 ( 3^{2} )

4.  1+3+5+7 =  16 (4^{2} )

5. 1+3+5+7+9 = 25 (5^{2} )

6. 1+3+5+7+9+11 = 36 ( 6^{2} )

7. 1+3+5+7+9+11+13 = 49 (7^{2} )

If we notice, the sum of the consecutive odd integers in each case is equal to the square of the place where it lies. For example, the sum of numbers in seventh place is equal to 7^{2}. The sum of the numbers in the fifth line is equal to 5^{2}.

4 0
3 years ago
There are 24 more students in the seventh grade class than the number g in the eighth grade class. The seventh grade class has 1
Over [174]

Answer:

160-24=g

Step-by-step explanation:

6 0
3 years ago
How can you write repeating decimals as fractions?
Burka [1]
Rewrite the decimal as a fraction by putting that number as the numerator and the denominator would be how many times the number has repeated originally.

I hope this helped you!
3 0
3 years ago
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