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alex41 [277]
2 years ago
13

What is the correct order of steps for bisecting angle ABC? Draw a ray from point B through point F. Keeping the compass the sam

e distance, place the compass on point E, and draw an arc inside the angle. Place point D on the intersection of the arc on ray BA and point E on the intersection of the arc with ray BC. Place point F on the intersection of the arcs created from points D and E. Place the compass on point B, and swing an arc that intersects rays BA and BC. Place the compass on point D, and draw an arc inside the angle.
Mathematics
2 answers:
Nataliya [291]2 years ago
8 0

Answer:

just to help its ECFBDA

Step-by-step explanation:

Vitek1552 [10]2 years ago
7 0

Answer:

Look to the explanation

Step-by-step explanation:

* Lets arrange the steps for bisecting angle ABC

- The vertex of angle ABC is B, and its rays are BA and BC

# Step 1:

- Place the compass on point B, and swing an arc that intersects rays

 BA and BC ⇒ 5th

# Step 2:

- Place point D on the intersection of the arc on ray BA and point E on

 the intersection of the arc with ray BC ⇒ 3rd

# Step 3:

- Place the compass on point D, and draw an arc inside the angle ⇒ 6th

# Step 4:

- Keeping the compass the same distance, place the compass on

 point E, and draw an arc inside the angle ⇒ 2nd

# Step 5:

- Place point F on the intersection of the arcs created from points D

 and E ⇒ 4th

# Step 6:

- Draw a ray from point B through point F ⇒ 1st

* This ray is the bisector of the angle ABC

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A random sample of 9 wheels of cheese yielded the following weights in pounds has a sample mean of 20.90 and a sample variance o
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Answer:

2.002 \leq \sigma^2 \leq 11.365

Step-by-step explanation:

1) Data given and notation

s represent the sample standard deviation

s^2 represent the sample variance

n=9 the sample size

Confidence=90% or 0.90

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population mean or variance lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

2) Calculating the confidence interval

The confidence interval for the population variance is given by the following formula:

\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}

On this case we need to find the sample standard deviation with the following formula:

s=sqrt{\frac{\sum_{i=1}^9 (x_i -\bar x)^2}{n-1}}
The sample variance given was [tex]s^2=3.45

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

df=n-1=9-1=8

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical values.  

The excel commands would be: "=CHISQ.INV(0.05,8)" "=CHISQ.INV(0.95,8)". so for this case the critical values are:

\chi^2_{\alpha/2}=15.507

\chi^2_{1- \alpha/2}=2.732

And replacing into the formula for the interval we got:

\frac{(9)(3.45)}{15.507} \leq \sigma \frac{(9)(3.45)}{2.732}

2.002 \leq \sigma^2 \leq 11.365

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Uta invests $345 into a simple interest investment account that pays interest at a rate of 9% a year. After several years, she w
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The water level of a river is 170 feet. The river recedes 4 feet each year. Ingrid claims that the equation that represents this
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Sample Answer: No, Ingrid is incorrect. The initial value in the scenario is 170 feet, which represents the y − intercept. Receding 4 feet in the scenario represents the rate of change, which is the slope. In slope-intercept form, y = mx + b, where m represents slope and b represents the y−intercept, so the correct equation is y = −4x + 170.


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If a person invests $120 at 8% annual interest, find the approximate value of the investment at the end of 5 years.
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Find the area of segment CFD given the following information: radius = 8in, area of ΔCBD = 25.9in2, and m∠CBD = 54° Round your a
Llana [10]

Answer:

A. 4.26 in^2

Step-by-step explanation:

Step 1: Find the area of the sector DBC. Here we have to use the formula.

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The area of the sector DBC = (54/360)*3.14*8^{2}

= 30.16

Step 2: Area of segment CFD = Area of the sector DBC - Area of the ΔCBD

= 30.17 - 25.9

Area of segment CFD = 4.27in^2

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