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Firlakuza [10]
3 years ago
8

In the diagram, point O is the center of the circle and mADB = 43°. If mAOB = mBOC, what is mBDC?

Mathematics
2 answers:
Vanyuwa [196]3 years ago
7 0
The answer is B) 43<span>°
Angle ADB is an inscribed angle which means arc AB has an angle twice that of angle ADB. The angle of the arc would be the same as that of the central angle AOB. So, mAOB = 86</span>°. And since, mAOB = mBOC, then mBOC = 86° and arc BC has a measure of 86° as well. Angle BDC intercepts the arc BC which means half of the angle of arc BC is mBDC. So, mBDC = 43<span>°.</span>
kirill115 [55]3 years ago
6 0

It is B 43. This is correct for sure.

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NeTakaya
<h2>Steps:</h2>

So firstly, this function is asking us to divide f(x) by g(x) so let's set that up as such:

(\frac{f}{g})(x)=\frac{x^2-x-6}{1}\div \frac{x-3}{x+2}

Next, remember that <u>dividing by a number is the same as multiplying by its reciprocal.</u> To find the reciprocal of a number, flip the numerator and denominator around. With this info, flip the second fraction to it's reciprocal and change the sign to multiplication:

(\frac{f}{g})(x)=\frac{x^2-x-6}{1}\times \frac{x+2}{x-3}

Next, we are going to factor x² - x - 6. Firstly, what two terms have a product of -6x² and a sum of -x? That would be -3x and 2x. Replace -x with 2x - 3x:

(\frac{f}{g})(x)=\frac{x^2+2x-3x-6}{1}\times \frac{x+2}{x-3}

Next, factor x² + 2x and -3x - 6 separately. Make sure that they have the same quantity on the inside of the parentheses:

(\frac{f}{g})(x)=\frac{x(x+2)-3(x+2)}{1}\times \frac{x+2}{x-3}

Now you can rewrite it as:

(\frac{f}{g})(x)=\frac{(x-3)(x+2)}{1}\times \frac{x+2}{x-3}

Next, multiply:

(\frac{f}{g})(x)=\frac{(x-3)(x+2)^2}{x-3}

Next, divide:

(\frac{f}{g})(x)=(x+2)^2

And lastly, simplify:

  • A good tip: (x+y)^2=x^2+2xy+y^2

(\frac{f}{g})(x)=x^2+4x+4

<h2>Answer:</h2>

<u>The correct option is C. x² + 4x + 4.</u>

7 0
4 years ago
sally has 20 coins in her piggy bank,all dimes and quarters. The total amount of money is $3.05. How many of each coin does she
Dafna11 [192]
Let d = number of dimes, q = number of quarters 

<span>Sally has 20 coins in her piggy bank, so </span>
<span>d + q = 20 </span>

<span>The total amount of money is $3.05. </span>
<span>Use the value of each coin multiplied by its number to get total value </span>
<span>.10d + .25q = 3.05 </span>
<span>multiply everything by 100 to clear the decimal places </span>
<span>10d + 25q = 305 and </span>
<span>d + q = 20 </span>

<span>solve the second equation above in terms of either d or q - lets do d </span>
<span>d = 20 - q </span>
<span>sub that into the first equation </span>
<span>10d + 25q = 305 </span>
<span>10(20 - q) + 25q = 305 </span>
<span>200 - 10q + 25q = 305 </span>
<span>15q = 105 </span>
<span>q = 105/15 = 7 </span>
<span>and from above </span>
<span>d = 20 - q = 20 - 7 = 13 </span>

<span>so, there are 13 dimes and 7 quarters </span>
<span>verify with orig problem </span>
<span>13 + 7 = 20, OK, and $1.30 + $1.75 = $3.05 
</span>
5 0
3 years ago
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tia_tia [17]
I believe the wording of the question is: If one tray can hold 12 loaves of bread and the rack can hold 10 trays, can a hundred and twenty-five loaves fit on one rack? 
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3 years ago
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What numbers rounded to 200,000 when rounded to the nearest hundred thousand
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Answer:

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4 years ago
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Andreas93 [3]

Answer: hi your question is incomplete  below is the complete question

answer:

The result has a statistical significance because from the results obtained from the sample of people whom followed vegetarian diet and the people whom followed non-vegetarian diet we can see the different effects on blood pressure.

The result has a practical significance because the large difference in mean values.

Step-by-step explanation:

Sample size = 85 followed a vegetarian diet

Period =  4 months,

Mean systolic blood pressure=  124 mmHg

Sample size = 75 followed non-vegetarian diet

Period = 4 months

Mean systolic Bp = 138 mmHg

Reasons/explanations

Given that p -value < 0.01  we will reject the null hypothesis

The result has a statistical significance because from the results obtained from the sample of people whom followed vegetarian diet and the people whom followed non-vegetarian diet we can see the different effects on blood pressure.

The result has a practical significance because the large difference in mean values.

7 0
3 years ago
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