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BabaBlast [244]
3 years ago
9

Find x in the given figure. answers: 18 144 24 9

Mathematics
2 answers:
pav-90 [236]3 years ago
4 0

Answer:

x=24

Step-by-step explanation:

Angles in a straight line add up to 180°

4x+9+2x+27=180

x=24

Blababa [14]3 years ago
3 0

Answer:

x = 24°

Step-by-step explanation:

To find 'x', the Alternate Exterior angle postulate will need to be used.

'4x + 9' and '2x + 27' are alternate exterior angles. Therefore, they must sum up to 180.

180 = 4x + 9 + 2x + 27

Combine like terms:

180 = 6x + 36

144 = 6x

x = 24°

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Regular pyramid <br> B=<br> P=<br> H=<br> l=<br> LA=<br> SA=<br> V=
devlian [24]

Answer:

B (Base surface area) = 16 m^{2}

P (Perimeter of the base) = 16 m

H (Height) = 6 m

L (Not sure what L means. I assume it's the slant height??) =  6.32 m

LA (I assume lateral surface area) = 50.59 m^{2}

SA (I assume total surface area) = 66.59 m^{2}

V (volume) = 32 m^{3}

Step-by-step explanation:

Sorry if anything is wrong. It would be more helpful to put the names, instead of acronyms.

7 0
3 years ago
As a​ follow-up to a report on gas​ consumption, a consumer group conducted a study of SUV owners to estimate the mean mileage f
kondor19780726 [428]

Answer:

The 95​% confidence interval estimate for the mean highway mileage for SUVs is (18.29mpg, 20.91mpg).

Step-by-step explanation:

Our sample size is 96.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

df = 96-1 = 95

Then, we need to subtract one by the confidence level \alpha and divide by 2. So:

\frac{1-0.95}{2} = \frac{0.05}{2} = 0.025

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 95 and 0.025 in the t-distribution table, we have T = 1.9855.

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

s = \frac{5.6}{\sqrt{96}} = 0.57

Now, we multiply T and s

M = T*s = 1.9855*0.57 = 1.31

For the lower end of the interval, we subtract the mean by M. So 19.6 - 1.31 = 18.29

For the upper end of the interval, we add the mean to M. So 19.6 + 1.31 = 20.91

The 95​% confidence interval estimate for the mean highway mileage for SUVs is (18.29mpg, 20.91mpg).

8 0
4 years ago
What does (2x−2)(3x+5) equal?
saw5 [17]

Answer:

6x² + 4x + 10

Step-by-step explanation:

(2x - 2)(3x + 5)

2x(3x + 5) - 2(3x + 5)

6x² + 10x - 6x + 10

6x² + 4x + 10 ans.

hope this helps you !

4 0
2 years ago
Samuel saved some money for a new phone, but then he spent $24 of his savings on a
Goryan [66]

Answer:

213$

Step-by-step explanation:

24$ on headphones

189$ left

so you add the use and what is left an u get 213$ do not forget to write $ when u are finished :)

4 0
2 years ago
For which value is the absolute deviation from the mean equal to 3?
Nesterboy [21]

Answer: 26

Step-by-step explanation: Take the mean of the 5 #'s (23). Which # is 3 away from 23? 26.

7 0
3 years ago
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