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3 years ago

The intersection of the two lines, shown in the image below, creates special angle relationships between angles 1,2,3,

Mathematics

1 answer:

levacccp [35]3 years ago

5 0

Answer:

3 and 4

1 and 3

Step-by-step explanation:

This is because these are vertical angles so anything on one side is the same on the other in these words Congruent. Good luck.

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when the wimen sells 90 oranges Rs160 with dicount of 20%,how many oranges she sell by Rs112 with profit of 20%

Fynjy0 [20]

She sold 42 oranges with profit 20%

Step-by-step explanation:

The woman sells 90 oranges by RS.160

This price with discount of 20%

We need to find how many oranges she sell by Rs.112 with profit of 20%

Selling price = cost price - discount ⇒ discount case
Selling price = cost price + profit ⇒ profit case

Assume that cost price of an orange is x

∵ She sells 90 oranges with Rs.160

- Find the selling price of 1 orange by dividing 160 by 90

∴ The selling price of an orange = $\frac{160}{90}=\frac{16}{9}$

∵ She sold them with discount 20%

∵ The cost price of an orange is x

- Find the 20% of x

∵ Discount = 20% × x = $\frac{20}{100}$ × x = 0.2x

- To find the selling price subtract 0.2x from x

∴ The selling price = x - 0.2x

∴ The selling price of an orange = 0.8x

- Equate 0.8x by $\frac{16}{9}$ to find x

∵ 0.8x = $\frac{16}{9}$

- Divide both sides by 0.8

∴ x = $\frac{20}{9}$

Assume that the number of oranges is y

∵ She sell y oranges for Rs.112 with profit 20%

∵ The cost price of an orange is $\frac{20}{9}$

- Find 20% of $\frac{20}{9}$

∵ Profit = 20% × $\frac{20}{9}$ = $\frac{20}{100}.\frac{20}{9}=\frac{4}{9}$

- Add $\frac{4}{9}$ to cost price to find the selling price

∴ The selling price of an orange = $\frac{20}{9}$ + $\frac{4}{9}$

∴ The selling price of an orange = $\frac{24}{9}$

- To find y divide 112 by selling price of an orange

∵ y = 112 ÷ $\frac{24}{9}$

∴ y = 42

She sold 42 oranges with profit 20%

Learn more:

You can learn more about percentage in brainly.com/question/12284722

#LearnwithBrainly

4 0

3 years ago

after a picnic 5/12 of the cornbread is leftover. val eats 4/5 of the leftover cornbread what fraction of the cornbread does val

REY [17]

5/12 - 4/5 = -23/60. You can't simplify -23/60. Hope this is right

8 0

3 years ago

The graph of y = |2x – 2| – 4 is shown. On a coordinate plane, an angled line opens up. It approaches the grid line at (negative

Sedaia [141]

76.89 sjsbs austere. Sisson whenever. Ebenezer oe eie h rur fuf 8r r earned e 3epoe9 r rur 8e e aonwowne e7 rjr or

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1 year ago

Read 2 more answers

Six years from today you need $10,000. you plan to deposit $1,500 annually, with the first payment to be made a year from today,

Novosadov [1.4K]

Like this variation of the problem! :)

We calculate the future value of the 6 annual deposits of $1500 at 8%:
F=1500(1.08^6-1)/(0.08)=11003.89
Since the last payment is due on the day of withdrawal, he would have paid $1500 to get back $11003.89, i.e. with an excess of 1003.89.
Therefore his last payment is 1500-1003.89=$496.11

3 0

3 years ago

Interpret the interval. We are 95% confident that the true average blood lead level for male workers is greater than that of fem

Usimov [2.4K]

Answer:

Step-by-step explanation:

There are key notes here

- *95% confidence or 95% confidence interval*

This is a popular percentage used in finding a statistic (a statistic is a parameter or measure which has values). A 95% confidence interval for a parameter is a wide range of values within which the specific value of the statistic you're testing should lie or does lie. Remember that a range is an interval from a certain value to a higher value e.g. a range of/from (8 - 18). If the parameter you're testing is the mean (the numerical average of a group) for example and that is your range then it means that you are 95% certain (almost completely or almost 100% certain) that the population mean lies within that interval. In the case of this question, there are no numerical values for the mean (average)

- *true average*

True average means the true mean value for the population

- *an amount within the confidence interval*

In this case, we're comparing the mean/average for male workers and female workers so DIFFERENCE IN MEANS is the actual statistic we are looking at here. So, for (A)

(A) We are 95% confident that the difference in mean of blood lead level in male workers and female workers is an amount or value that lies within the confidence interval created

(B) Same as (A) above BUT here, we're testing that (our hypothesis is) the true mean blood lead level for male workers is LESS THAN that of female workers.

(C) If a conclusion cannot be drawn from the statistical information given, that means we can't find an accurate cause-and-effect relationship between the independent variable(s) and dependent variable(s)

(D) Here, our hypothesis (what we are testing or what we seek to know) is whether the true mean blood lead level for male workers is GREATER THAN that of female workers. Next, we are using a 95% confidence interval. Now, the DIFFERENCE IN MEANS which is what we are measuring falls outside the confidence interval created. This means that the actual value of the difference in means is either less than the lower boundary value in our confidence interval OR higher than the upper boundary value in our confidence interval.

5 0

2 years ago