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MAXImum [283]
3 years ago
11

∠A and ∠B are two supplementary angles such that ∠A= x° and ∠B= (2x+30)°. Find the measure of ∠B.

Mathematics
1 answer:
Anettt [7]3 years ago
3 0

Answer: 130°

Step-by-step explanation:

supplementary angle: ∠A+∠B=180°

x+(2x+30)=180

x+2x+30=180

   3x+30=180

          3x=150

            x=50

2(50)+30=100+30=130°

Hope this helps!! :)

Please let me know if you have any question

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A scientist running an experiment starts with 100 bacteria cells. These bacteria double their population every 15 hours. Find ho
IRISSAK [1]
<h2>Hello!</h2>

The answer is: 23.77 hours

<h2>Why?</h2>

Total(t)=Start*2^\frac{t}{15}

Where:

Total(t) is equal to the amount for a determined time (in hours)

<em>Start</em> is the original amount

<em>t </em>is the time in hours.

For example, it's known from the statement that the bacteria double their population every 15 hours, so it can be written like this:

Total(15)=100*2^\frac{15}{15}=100*2^{1}=100*2=200

To calculate how long it takes for the bacteria cells to increase to 300, we should do the following calculation:

300=100*2^{\frac{t}{15} } } \\\frac{300}{100}=2^{\frac{t}{15} } }\\log(3)=log(2^{\frac{t}{15} })\\\\\\log(3)=\frac{t}{15}*log2\\t=\frac{log(3)}{log(2)} *15=23.77

So, to know if we are right, let's replace 23.77 h in the equation:

Total(t)=100*2^\frac{23.77}{15}=299.94

and 299.94≅300

Have a nice day!

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3 years ago
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The solution to the given question will be:-

A) If a number, n, divided by 8 equals 2.5, what is n: n = 20

B) The sum of a number, n, and 6.05 is 12.4. What is n: n = 6.35

C) Stacy is one-fourth as old as her mother. If Stacy's mother is

36, how old is Stacy: 9 years

<h3>What is an expression?</h3>

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division

A) If a number, n, divided by 8 equals 2.5, what is n?

n / 8 = 2.5

n = 8 x 2.5 = 20

B) The sum of a number, n, and 6.05 is 12.4. What is n?

n  + 6.05 = 12.4

n = 12.4 - 6.05 = 6.35

C)  Stacy is one-fourth as old as her mother. If Stacy's mother is

36, how old is Stacy?

(1 / 4) M_{age} = S_{age}

S_{age}  =  ( 36 / 4)

S_{age}  =  9 years

Therfore the answers are n = 20 ,n = 6.35, S_{age}  =  9 years

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2 years ago
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