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wel
3 years ago
9

In the figure, identify the types of angles in the table below .

Mathematics
1 answer:
Anna007 [38]3 years ago
4 0

Answer:

∠1 and∠3 = Supplementary Angles

∠4and∠5 = Complementary Angles

∠5and∠1 = Adjacent Angles

∠2and∠3 = Supplementary Angles

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The wildflowers at a national park have been decreasing in numbers. There were 1200 wildflowers in the first year that the park
bonufazy [111]

Year      New flowers

1                 1200

2                 300

3                   75

There were 1200 wildflowers in the first year that the park started tracking them. Since then, there have been one fourth as many new flowers each year

Initially there are 1200 flowers and start decreasing by \frac{1}{4}

So first term is 1200 and common ratio is \frac{1}{4}.

Its a geometric sequence so summation becomes

i =1∑ ∞ 1200(\frac{1}{4})^{i-1}

Now we find the sum

We use sum formula

Sum = \frac{a}{1-r}

Where a is the first term , a= 1200

r is the common ratio , r= 1/4

Sum = \frac{1200}{1-(\frac{1}{4})}

Sum = \frac{1200}{\frac{3}{4}}

Sum = 1600 wildflowers

4 0
3 years ago
Solve for x in the diagram below.
max2010maxim [7]

1: Identify the angle.

<em>The following angle is a 90.</em>

2: Set up the equation.

<em>x + (3x + 10) = 90</em>

3: Combine like terms.

<em>4x + 10 = 90</em>

4: Solve for x.

<em>4x + 10 = 90</em>

<em>      -10 =   - 10</em>

<em>--------------------------</em>

<em>4x = 80</em>

<em>------------------</em>

<em>4          4</em>

<em>x = 20</em>

Your answer is x = 20.

Hope this helps! Have a good day/night! c:


6 0
3 years ago
Read 2 more answers
Does anyone understand 1 or 2? Please answer
telo118 [61]

Answer:

See below

Step-by-step explanation:

You need to create an equation that will give you the results with the correct units of measurement that they are asking for.  In the first question, they are asking you to give the answer in seconds.  So when you set up your equation, seconds have to be on the top.  The way to think of this is to actually reword the statement they give you by saying in 1 second, light travels 3 x 10 to the 8th power which is 3 with 8 zeros after it.  Then it's easier to set up the equation as below.  The distance from the Sun to Mars is 230,000,000,000 meters which is the same as saying 2300 x 10 to the 8th power.  Notice I counted 8 of the zeros and used that in the exponent but left the rest as part of the original number.  This will make it easier since you are dealing with two number that have exponents raised to the same power of 8.

   1 sec          2300 x 10⁸ m

--------------  X  --------------------  =

 3 x 10⁸ m             1

When you look at this equation it looks difficult but since both the top number and bottom number are exponents raised to the same power, they cancel each other out.  So you can drop the exponent all together and just divide the top number by the bottom number  2300 ÷ 3 which equals 766 seconds.

The second question needs you to take the distant the Sun is from Earth and subtract that from the distance from the Sun to Mars.  By subtracting those two, it will tell you how far Mars is from the Earth.  You can change the numbers a little bit to make it easier on you.  Again you want the exponent for both numbers to be the same to make it easier.  When you subtract two number with the exact same exponent, you can just subtract the number and then use that same exponent as part of your answer.

The distance between the Sun and Mars is 23 with 10 zeros after it.  So that is the same as writing 23 x 10¹⁰.  The distance from the Sun to Earth is said to be 1.5 x 10¹¹ but that is a different exponent.  So if you move the decimal on this number one place to the right, it will be 15 x 10¹⁰.  Now you can easily subtract those numbers without worrying about the exponent since they are the same.

23-15 =8  but now you have to put the exponent back on.  So your answer ends up being

8 x 10¹⁰  or 8 with 10 zeros or 80,000,000,000 meters.

8 0
2 years ago
For each table of values, write an expression that relates the input to the output.
Arlecino [84]

Answer:

x3, +3

Step-by-step explanation:

Each number gets multiplied by 3 and then you add 3.

8 0
2 years ago
How many hundredths are in 539.26? Is the answer 6? Or is 6 just in the hundredth’s spot
Novosadov [1.4K]

Answer:

its 600 because its in the hundredths place so it would be 6 hundredths

Step-by-step explanation:

3 0
3 years ago
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