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What is the measure of its remote interior angle?

Answers

Answer 1

Answer:

Answer:<1=126° <2=54°

Step-by-step explanation:

sum of angles in a =180°

<2+90+36=180

<2+126=180

Collect like terms

<2=180-126

<2=54°

<2 and <1 are supplementary angles therefore their sum is equal to 180

<2 + <1=180

54 + <1=180

Collect like terms

<1=180-54

<1=126

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HELP it’s not 20.40 which is what someone else answered lol

Answers

Answer:

I think it 19.6

Step-by-step explanation:

Sorry if im wrong

(Based on Q1 ~ Q3) According to the Bureau of the Census, 18.1% of the U.S. population lives in the Northeast, 21.9% inn the Midwest, 36.7% in the South, and 23.3% in the West.. In a random sample of 200 recent calls to a national 800-member hotline, 39 of the calls were from the Northeast, 55 from the Midwest, 60 from the South, and 46 from the West. At the 0.05 level, can we conclude that the geographical distribution of hotline callers could be the same as the U.S. population distribution?

Answers

Answer:

We can therefore conclude that the geographical distribution of hotline callers could be the same as the U.S population distribution.

Step-by-step explanation:

The null Hypothesis: Geographical distribution of hotline callers could be the same as the U.S. population distribution

Alternative hypothesis: Geographical distribution of hotline callers could not be the same as the U.S. population distribution

The populations considered are the Midwest, South, Northeast, and west.

The number of categories, k = 4

Number of recent calls = 200

Let the number of estimated parameters that must be estimated, m = 0

The degree of freedom is given by the formula:

df = k - 1-m

df = 4 -1 - 0 = 3

Let the significance level be, α = 5% = 0.05

For α = 0.05, and df = 3,

from the chi square distribution table, the critical value = 7.815

Observed and expected frequencies of calls for each of the region:

Northeast

Observed frequency = 39

It contains 18.1% of the US Population

The probability = 0.181

Expected frequency of call = 0.181 * 200 = 36.2

Midwest

Observed frequency = 55

It contains 21.9% of the US Population

The probability = 0.219

Expected frequency of call = 0.219 * 200 =43.8

South

Observed frequency = 60

It contains 36.7% of the US Population

The probability = 0.367

Expected frequency of call = 0.367 * 200 = 73.4

West

Observed frequency = 46

It contains 23.3% of the US Population

The probability = 0.233

Expected frequency of call = 0.233 * 200 = 46

$x^(2) = \sum ((O_(i) - E_(i)) ^(2) )/(E_(i) ) , i = 1, 2,.........k$

Where $O_(i) =$ observed frequency

$E_(i) =$ Expected frequency

Calculate the test statistic value, x²

$x^(2) = ((39 - 36.2)^(2) )/(36.2) + ((55 - 43.8)^(2) )/(43.8) + ((60 - 73.4)^(2) )/(73.4) + ((46 - 46.6)^(2) )/(46.6)$

$x^(2) = 5.535$

Since the test statistic value, x²= 5.535 is less than the critical value = 7.815, the null hypothesis will not be rejected, i.e. it will be accepted. We can therefore conclude that the geographical distribution of hotline callers could be the same as the U.S population distribution.

In circle F what is the measure of arc CB?

17.5
35
70
60

Answers

Multiply by 2 to get that the measure of arc CB is 70.

Answer:

measure of arc CB is 70°

Step-by-step explanation:

Draw segment FC.

Measure of arc CB = ∠CFB

∠CFB is complementary to ∠CFA

∠CFB = 180° - ∠CFA

Δ CFA is isosceles

∠ FAC = ∠ FCA = 35°

∠CFA +∠ FAC + ∠ FCA = 180°

∠CFA = 180° - 70°

∠CFB = 180° - (180° - 70°) = 70°

∴ Measure of arc CB is 70°

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Answers

Answer: growth, rate is 95.8%
The base 1.958 is in the form 1+r where
1+r = 1.958
r = 1.958-1
r = 0.958
r = 95.8%
The value of r is positive indicating we have growth.
Contrast this to something like 1+r = 0.8 and that solves to r = -0.20 = -20% to indicate decay of 20%. In other words, if the base were some positive number less than 1, then you have decay. Otherwise, you have growth.
The initial value 880 does not affect the answer, so we completely ignore it.

4. Find the slope and y-intercept.
y= 1/5 x + 4

Answers

Answer:

The slope is $\bold{(1)/(5)}$ and the y-intercept is $\bold{4}$ .

Step-by-step explanation:

We are given an equation in slope-intercept form (y = mx + b).

In this equation, we can define the following variables:

m = slope
b = y-intercept

The slope in an equation and of a line is the rise over run of a line. The numerator of the fraction will be how many y-coordinates the line will ascend or descend (depending on the sign). The denominator will signify how many x-coordinates the line will move to the left or the right.

The y-intercept is the coordinate at which the line crosses the y-axis. The value of x is 0 and the coordinate can be positive or negative.

Therefore, by looking at our equation, we can see that $(1)/(5)$ is the slope, and 4 is the y-intercept.

How to do long division?

Answers

Set up the equation. On a piece of paper, write the dividend (number being divided) on the right, under the division symbol, and the divisor (number doing the division) to the left on the outside. ...

Divide the first digit. ...

Divide the first two digits. ...

Enter the first digit of the quotient.

this is how to do long divison i hope you understand it

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