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DochEvi [55]
3 years ago
11

Solve for x in the diagram below

Mathematics
1 answer:
andre [41]3 years ago
3 0

Answer:

x= 20

Step-by-step explanation:

The sum of the three angles is 90 degrees

x+2x+x+10 = 90

Combine like terms

4x+10 = 90

Subtract 10

4x+10-10 = 90-10

4x= 80

Divide by 4

4x/4=80/4

x = 20

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Leon verified that the side lengths 21, 28, 35 form a Pythagorean triple using this procedure.
stepladder [879]

Answer:

Yes, multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple.

Step-by-step explanation:

Another example of  multiplying a Pythagorean triple is

Take the known Pythagorean triple 5, 12 and 13:

5 12 13   * 2  = 10 24 26

and 26^2 = 10^2 + 24^2

     676 = 100 + 576 = 676

4 0
2 years ago
¿Cuál es el capital que colocado al 6% quincenal<br> genera en 2 meses un monto de S/. 7200?
Zinaida [17]

Answer:

$27428.57

Step-by-step explanation:

To solve this problem, we can use the formula for compound interest:

P = Po * (1 + r)^(t)

Where P is the final value, Po is the inicial value, r is the rate of interest, t is the time.

With r = 0.06, t = 4 (The rate is for every 15 days, and the time is 2 months, so we have that 2 months = 4 periods of 15 days) and P = Po + 7200, we have:

Po + 7200 = Po * (1 + 0.06)^4

Po + 7200 = Po * 1.2625

Po * 0.2625 = 7200

Po = 7200 / 0.2625 = $27428.57

3 0
3 years ago
8
alexgriva [62]

Answer:I believe is 66 days

because we

48,36,18

36-18=18

48-36=12

so the next moviewill be 48+12=66 days

Step-by-step explanation:

7 0
3 years ago
When utilizing ANOVA, what does the between group sum of squares measure?
zhenek [66]

Answer:

b. The sum of the squared deviations between each group mean and the mean across all groups

Step-by-step explanation:

Previous concepts

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"

Solution to the problem

If we assume that we have p groups and on each group from j=1,\dots,p we have n_j individuals on each group we can define the following formulas of variation:  

SS_{total}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x)^2

SS_{between}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2

SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2

And we have this property

SST=SS_{between}+SS_{within}

As we can see the sum of squares between represent the sum of squared deviations between each group mean and the mean across all groups.

SS_{between}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2

So then the best option is:

b. The sum of the squared deviations between each group mean and the mean across all groups

5 0
3 years ago
I need please help. thank you
Travka [436]

15. She bought:

3 jeans, $20 each

1 pants, $18

You find the total: 3(20) + 1(18) = $78 then you apply the discount

Since this is between 50-100, you use the 38% discount (decimal form: 0.38)

38% is being subtracted from your total, so you can do this:

100% - 38% = 62%      This is your total after the discount

78(0.62) = 48.36   Your answer is C

16. D   Income is the $ you make from your job

17. A    Budgeting helps you organize and limit your spending and meet financial goals

18. C    Liabilities impacts you negatively, since you have debts to pay off

19. A    

7 0
3 years ago
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