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valentina_108 [34]
3 years ago
7

HELLLPPPPP I dont understand this!! Picture is attached!! THANKS

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
8 0

Answer:

27 =x

Step-by-step explanation:

We can use proportions to solve this problem.  Put the side of the small triangle over the same side of the large triangle.

x+8          10

------- = -------------------

2x-5          14

Using cross products

14 (x+8) = 10 (2x-5)

Distribute

14x+112 = 20x-50

Subtract 14x from each side

14x-14x +112 = 20x-50-14x

112 = 6x-50

Add 50 to each side

112+50 = 6x-50+50

162 = 6x

Divide by 6

162/6 =6x/6

27 =x

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Pic need help plz !!!!
sweet [91]

Answer:

A

Step-by-step explanation:

AAS is Angle Angle Side. Since one pair of sides and angles are already given, the only angles next to the given angles are the vertical angles.

6 0
3 years ago
Read 2 more answers
10. Both x and y vary inversely with each other. When x is 10, y is 6,which of the following is not a possible pair of correspon
elena55 [62]

9514 1404 393

Answer:

  D) 45 and 1.2

Step-by-step explanation:

The "varies inversely" relationship is described by the equation ...

  y = k/x . . . . . . y varies inversely with x (and vice versa)

The value of k can be found from known values of x and y:

  xy = k . . . . . . multiply the above equation by x

  (10)(6) = k = 60 . . . . using the given values

__

To check if a given pair of numbers satisfies ...

  y = 60/x

you can multiply them together to see if the product is 60.

  (A) 12×5 = 60

  (B) 15×4 = 60

  (C) 25×2.4 = 60

  (D) 45×1.2 = 54 . . . . . not a possible pair of corresponding values.

45 and 1.2 are not a possible solution for x and y.

8 0
3 years ago
What is a decimal in standard form: <br>12 and six hundredths <br><br>forty-six ten-thousandths
aev [14]
The decimal in standard form for 12 and six hundredths is 12.06
4 0
3 years ago
The mayor of a town has proposed a plan for the annexation of an adjoining community. A political study took a sample of 1000 vo
Georgia [21]

Answer:

z=\frac{0.54 -0.5}{\sqrt{\frac{0.5(1-0.5)}{1000}}}=2.530  

p_v =P(z>2.530)=0.0057  

Step-by-step explanation:

Data given and notation

n=1000 represent the random sample taken

\hat p=0.54 estimated proportion of residents that favored the annexation

p_o=0.5 is the value that we want to test

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion is higher than 0.5:  

Null hypothesis:p \leq 0.5  

Alternative hypothesis:p > 0.5  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

Since we have all the info required we can replace in formula (1) like this:  

z=\frac{0.54 -0.5}{\sqrt{\frac{0.5(1-0.5)}{1000}}}=2.530  

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The next step would be calculate the p value for this test.  

Since is a right tailed test the p value would be:  

p_v =P(z>2.530)=0.0057  

7 0
4 years ago
The difference between two numbers is 3. The sum of the same tow numbers is 13. What is the
Ber [7]

Answer: 40

Step-by-step explanation:

Let the two numbers be a and b.

Therefore,

a - b = 3 ....... i

a + b = 13 ....... ii

From equation I, a = 3 + b

Put a = 3+b into equation ii

a + b = 13

3 + b + b = 13

3 + 2b = 13

2b = 13 - 3

2b = 10

b = 10/2

b = 5

Since a = 3 + b

a = 3 + 5

a = 8

The product of the numbers will be:

= 8 × 5

= 40

6 0
3 years ago
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