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2 years ago

Which of the following reasons complete the proof in the picture below

Mathematics

1 answer:

lana [24]2 years ago

6 0

If a and b are supplements, their total is 180 degrees, by definition. If b and c are supplements, their total is 180 degrees, by definition.

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ILL GIVE BRAINLIEST.

marysya [2.9K]

Answer:

Step-by-step explanation:

There is only one variable in this situation which means you can rule out A and C, B is wrong because it said it wants Y, so D is your answer!

5 0

2 years ago

Read 2 more answers

Find three consecutive odd numbers whose sum is 1875.

masya89 [10]

Answer:

smaller number = 623

middle number = 625

larger number = 627

Step-by-step explanation:

Variable: X = smallest number

If these numbers are consecutive and odd, then the numbers would be:

x, x+2, x+4

x + (x + 2) + (x + 4)= 1875

3x + 6 = 1875

3x = 1869

x = 623

x + 2 = 625

x + 4 = 627

Check:

623 + 625 + 627 = 1875

4 0

2 years ago

Brian invests ?1900 into a savings account. The bank gives 3.5% compound interest for the first 2 years and 4.9% thereafter. How

Scorpion4ik [409]

let's check how much is it after 2 years firstly.

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &1900\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yearly, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases} \\\\\\ A=1900\left(1+\frac{0.035}{1}\right)^{1\cdot 2}\implies A=1900(1.035)^2\implies A=2035.3275$

Brian invested the money for 6 years, so now let's check how much is that for the remaining 4 years.

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &2035.3275\\ r=rate\to 4.9\%\to \frac{4.9}{100}\dotfill &0.049\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yearly, thus once} \end{array}\dotfill &1\\ t=years\dotfill &4 \end{cases}$

$\bf A=2035.3275\left(1+\frac{0.049}{1}\right)^{1\cdot 4}\implies A=2035.3275(1.049)^4 \\\\\\ A\approx 2464.54\implies \boxed{\stackrel{\textit{rounded up }}{A=2465}}$

4 0

3 years ago

A wall that is 10 feet high and 20 feet long contains one ton of bricks. How many tons should be purchased to brick a wall that

vitfil [10]

Answer:

9 tons

Step-by-step explanation:

So first we have to figure out the area of the smaller wall. We know it is 10 feet high and 20 feet long, so we multiply the length and width together to get 200 square feet, and that equals 1 ton. Now if we take the 1800 square foot wall and divide it by the smaller wall, we get 9. This is because the larger wall is 9 times the size of the smaller wall. So if the smaller wall needs 1 ton, and the larger would need 9 times the amount, we would need 9 tons.

7 0

3 years ago

Read 2 more answers

Eric gets a 7 percent commission for each electronic item he sells .If he sells 3000 worth of elections ,how much commission doe

Bas_tet [7]

Answer:

$210

Step-by-step explanation:

He makes 7% of that which is:

$0.07*3000 = 210$