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BlackZzzverrR [31]
3 years ago
13

Find the missing segment.

Mathematics
1 answer:
Bond [772]3 years ago
3 0

Answer:

? = 7.

Step-by-step explanation:

The two triangles are similar because of the AA Theorem.

The larger triangle's side that is equal to 9 + 3 corresponds to the smaller triangle's side length of 9, while the larger triangle's 21 + ? side corresponds to the smaller triangle's 21 side. Now, we can set up a proportion!

\frac{9}{9+3} =\frac{21}{21 + ?}

\frac{9}{12} =\frac{21}{? + 21}

\frac{3}{4} =\frac{21}{? + 21}

\frac{1}{4} =\frac{7}{? + 21}

? + 21 = 7 * 4

? + 21 = 28

? = 28 - 21

? = 7

Hope this helps!

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Answer:

1/27

Step-by-step explanation:

(1/27)^2016*27^2015 =

27^-2016 * 27^2015 =

27^(-2016+2015) =

27^-1 =

1/27

6 0
2 years ago
2x - 5y = 5 and y = x + 2
Dafna1 [17]

Answer:7

Step-by-step explanation:

8 0
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-2(3x + 4) + 7x = 10
musickatia [10]

Answer:

18

Step-by-step explanation:

-2(3x+4)+7x=10

-6x-8+7x=10

x=10+8

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6 0
3 years ago
If a right circular cone has radius 4 cm and slant height 5cm then what is its volume?​
lyudmila [28]

Answer:

V≈50.27cm³

Step-by-step explanation:

Using the formulas

V=πr2h

3

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6 0
2 years ago
A demographer wants to measure life expectancy in countries 1 and 2. Let μ1 and μ2 denote the mean life expectancy in countries
Art [367]

Answer:

For this case we want to test if life expectancy in country 1 is more than 10 years lower than in country 2, (alternatibe hypothesis), so then the system of hypothesis are:

Null hypothesis: \mu_1 \leq \mu_2 -10

Alternative hypothesis:\mu_1 > \mu_2 -10

Or equivalently:

Null hypothesis: \mu_1 - \mu_2 \leq 10

Alternative hypothesis:\mu_1 - \mu_2 >10

Step-by-step explanation:

Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

Solution to the problem

For this case we want to test if life expectancy in country 1 is more than 10 years lower than in country 2, (alternatibe hypothesis), so then the system of hypothesis are:

Null hypothesis: \mu_1 \leq \mu_2 -10

Alternative hypothesis:\mu_1 > \mu_2 -10

Or equivalently:

Null hypothesis: \mu_1 - \mu_2 \leq 10

Alternative hypothesis:\mu_1 - \mu_2 >10

7 0
3 years ago
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