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3 years ago

Find the measure of the complementary angle of the supplementary angle of the angle having measure 120 degree.

Mathematics

1 answer:

ikadub [295]3 years ago

6 0

Answer: 60 degrees!

Step-by-step explanation: So, a supplementary angle is an angle of 180 degrees. I'm not sure if you used the incorrect terminology because a complementary angle is an angle that adds up to 90 degrees, which would make this question unsolvable! However, the correct word you are looking for would be the supplement of the angle 120. Get it, supplementary, supplement. Anyways, the supplement is essentially an angle that when added to another angle it will equal 180! In this case, the other angle is 120. We can model this with an equation.

180 - 120 = x

Now before we get confused let's make sure we understand the equation. Our total angleage will equal 180 degrees, so we start off with 180, we then take the measure of the angle we already know which is 120, and subtract it, because if you have 1/4 of a pie somebody already ate the other 3/4, but at one point it was 4/4 or a whole pie, so in this situation, we are taking away 120 degrees of the whole pie, or 180 degrees. This will give us a value of x, or the supplement angle of 120 degrees, which might also be known as the other 1/4 of our pie. When we solve the equation 180-120 we are given the answer 60 degrees! This is what we would call the supplement to our angle 120, or the angle that when added to it, will make it a full 180 degrees. Now, these two angles can also be referred to as supplementary in the context of talking about the two, where you might say 120 and 60 are supplementary angles.

Further not, if you are talking about finding the complement of an angle, or an angle that when added to another angle will give you 90 degrees, the process is exactly the same except the equation would be modeled

90 - y = x

in this case, y is the angle we are given, let's say it's 20, and x is our complement or the angle that when added to 20 will make it 90! The answer to this one is 70 but hopefully, you understand by now!

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George observes that for every increase of 1 in the value of x, there is a increase of 60 in the corresponding value of y. He cl

Brums [2.3K]

Hi there!

FACTS :

To see if multiple ratios are proportional, you can write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have proportionnal ratios. You can also write them as fractions and divide the numerator (top number) by its denominator (bottom number), and compare the decimal numbers the same way you would compare the fractions (I personnaly find this method easier because you don't need to simplify the fractions).

STEPS TO ANSWER:

x = 1 ; y = 90 → $\frac{1}{90} =$ 1 ÷ 90 = 0.01111111...

x = 2 ; y = 150 → $\frac{2}{150} =$ 2 ÷ 150 = 0.0133333...

x = 3 ; y = 210 → $\frac{3}{210} =$ 3 ÷ 210 = 0.01428571

x = 4 ; y = 270 → $\frac{4}{270} =$ 4 ÷ 270 = 0.0148148...

x = 5 ; y = 330 → $\frac{5}{330} =$ 5 ÷ 330 = 0.01515152

** You didn't really need to calculate them all because even the first two decimal numbers weren't equivalent, but I wanted to show you the whole process so I calculated them all.

⇒ If you compare all the decimals you got, you can easily see that they are not the same, which means that the ratios between the values of "x" and the values of "y" are not proportional. Therefore, George's reasoning wasn't good.

There you go! I really hope this helped, if there's anything just let me know! :)

5 0

3 years ago

Simplify the following expression 12b+5.54b+2.46b+3.2a+1.17a-2b

alekssr [168]

Answer:

Step-by-step explanation:

1. First you add like terms

12b+5.54b+2.46b-2b = 18b

3.2a+1.17a = 4.37a

2. Now you write it out

18b+4.37a

3. CELEBRATE!!!!

4. Pat yourself on the back one more problem done

5. Have a nice day

6 0

3 years ago

Convert the expression to radical form. 8(1/2)x(1/2)y(3/4) A) 8xy3 B) 2xy 2xy2 C) 2x2y3 D) 2 4x2y3

UNO [17]

Your answer should be B : )

I hope this helps!

please mark this as the brainliest

7 0

3 years ago

How many zeros in this measurement 0.050 060 are significant?

kogti [31]

There are a total of 3 zeros in this measurement that are significant.

3 0

3 years ago

Decide if each expression is equivalent to 2^6 or 4^4

11Alexandr11 [23.1K]

$\huge\text{Hey there!}$

$\mathsf{2^6 = 2\times2\times2\times2\times2\times2}\\\mathsf{2\times2\times2\times2\times2\times2}\\\mathsf{2\times2=4}\\\mathsf{4\times4\times4}\\\mathsf{4\times4=16}\\\large\mathsf{16\times4=64}\\\mathsf{2^6 = \bf{64}}$

$\mathsf{4^4=4\times4\times4\times4}\\\mathsf{4\times4\times4\times4}\\\mathsf{4\times4=16}\\\mathsf{16\times16}\\\mathsf{16\times16=256}\\\mathsf{4^4=\bf{256}}$

$\boxed{\boxed{\mathsf{Answer: 64\neq 256}}}\huge\checkmark$

$\text{Good luck on your assignment and enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

6 0

3 years ago