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zzz [600]
3 years ago
15

MAQ Unit 4: Parallel and Perpendicular Lines Assessment 8. Acub cut for wheelchairs must meet ADA (Americans with Disabilities A

ct requirements. Find the measure of 21 (exterior to the triangle) in the diagram below. 78° 1​

Mathematics
1 answer:
Stolb23 [73]3 years ago
6 0

Answer:

168

Step-by-step explanation:

- first we need to find the third angle of the triangle, and since 180 is the sum of all angles, 180 - 90 - 78 = 12

- 12 is the interior angle at point 1, the exterior angle is 180 - 12 = 168

(here we use 180 because its a straight line)

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Which of the following is most likely the next step in the series? A B C D​
denis23 [38]

Answer: I think D. Let me know if I’m right!

4 0
3 years ago
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Solve the equation. –x + 8 + 3x = x – 6
saul85 [17]
First group the coefficients together on their side of the equal sign.
-x + 3x = 2x.

Then, since it is a positive number, subtract it from that side and the other side.

On the other side, the x becomes -x.

Add the 6 from the other side to the 8 to make 14.

14 = -x

Divide both sides by -1, to get the answer.

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4 years ago
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Pls help me with my testt
Nitella [24]

Answer:

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5 0
3 years ago
According to a study of political​ prisoners, the mean duration of imprisonment for prisoners with chronic​ post-traumatic stres
Ray Of Light [21]

This question is incomplete, the complete question is;

According to a study of political​ prisoners, the mean duration of imprisonment for 33 prisoners with chronic​ post-traumatic stress disorder​ (PTSD) was 34.2 months. Assuming that σ = 40 ​months.

determine a 95​% confidence interval for the mean duration of​ imprisonment, ​μ , of all political prisoners with chronic PTSD. Interpret your answer in words.

Answer:

⇒ ( 20.6, 47.8 )

Therefore, 95% confidence interval for the mean duration of imprisonment μ of all political prisoners with PTSD is between 20.6 months and 47.8 months.

Step-by-step explanation:

Given the data in the question;

sample size; n = 33

standard deviation σ = 40 months

x' = 34.2 months

Now, at 95% confidence interval;

we know that z-value of 95% confidence interval is 1.96

so we substitute into the formula below;

⇒ x' ± Z( σ/√n )

⇒ 34.2 ± 1.96( 40/√33 )

⇒ 34.2 ± 13.647

so

we have

( 34.2 - 13.647 ), ( 34.2 + 13.647 )

⇒ ( 20.6, 47.8 )

Therefore, 95% confidence interval for the mean duration of imprisonment μ of all political prisoners with PTSD is between 20.6 months and 47.8 months.

3 0
3 years ago
Which of the following is NOT true? Question 19 options: (3x2y5)3=27x6y15 (1000x12y20z−3)0=1 52‾‾√3=523 42×43= 165
bixtya [17]

Answer:


Step-by-step explanation:

Lets try to simplify each to check which one is incorrect so it will be NOT true

first one is :

distribute the exponent so :

(3x^2y^5)^3 =3^3x^{2*3}y^{5*3}

27x^6y^{15} CORRECT

Second one is :

(1000x^{12}y^{20}z^{-30})^{0} =1

CORRECT because anything raised to exponent 0 is 1 .

Last one is :

4^2 *4^3 = 4^{2+3}\\=4^{6}\\=(4)^{2*3}\\=16^{3}

so Last is<em> INCORRECT</em>



5 0
3 years ago
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