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Nat2105 [25]
3 years ago
13

The measure of an angle is 108°. What is the measure of a supplementary angle?

Mathematics
1 answer:
gogolik [260]3 years ago
8 0

Answer:

72 degrees

Step-by-step explanation:

180-108=72

where I got 180: a supplementary angle is 180 degrees

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Which number line shows the correct placement of 20%, 1/3, and 2/3?
BigorU [14]

Answer with Step-by-step explanation:

We are given that

20%

When we change percent into fraction we will divide the percent by 100

\frac{20}{100}=\frac{1}{5}

\frac{1}{3}

\frac{2}{3}

We have to find the line which shows the correct placement of given numbers.

Lcm(3,5)=15

\frac{1\times 3}{5\times 3}=\frac{3}{15}

\frac{1\times 5}{3\times 5}=\frac{5}{15}

\frac{2\times 5}{3\times 5}=\frac{10}{15}

7 0
3 years ago
Ted has $3.90. He has only dimes and quarters. He has 27 coins altogether. How many of each does he have
mestny [16]

Answer: 8 quarters 19 dimes

Step-by-step explanation:

we already know 8+19=27, if 4 quarters equals a dollar then you use 4 quarters each to create 2 dollars.

then, use 10 dimes to create another dollar summing it up to $3. now all we have to do is make 90 cents, and we've already used 18 coins.

if we used another 9 dimes, that would equal 90 cents.

in conclusion, 4+4= 8

8+10= 18

18+9= 27, and having $3.90

6 0
3 years ago
HELP I'M SOOOOOO ANGRYYYYY PLEASE HELPPPP<br>determine the values of X for which g(x) is defined​
tiny-mole [99]

Answer: Any real number x as long as x \ne 0 and x \ne -\frac{2}{3}

In other words, anything but 0 or -2/3 is valid.

========================================================

Explanation:

Set the denominator equal to zero and solve for x

2(3x^2 + 2x) = 0

3x^2 + 2x = 0

x(3x + 2) = 0

x = 0 or 3x+2 = 0 .... zero product property

x = 0 or 3x = -2

x = 0 or x = -2/3

If either x = 0 or x = -2/3, then the denominator 2(3x^2 + 2x)  will be zero. But recall that we cannot have zero in the denominator. Dividing by zero is not allowed. The expression is undefined when we divide by zero.

Therefore, we must exclude x = 0 and x = -2/3 from the domain. Any other real number is valid as an x input.

7 0
3 years ago
Find all solutions to the equation.<br><br> cos^2x + 2 cos x + 1 = 0
natali 33 [55]

\bf cos^2(x)+2cos(x)+1=0\implies \stackrel{\textit{let's notice, this is simply }ax^2+bx+c=0}{[cos(x)]^2+2cos(x)+1=0} \\[2em] [cos(x)+1][cos(x)+1]=0 \\\\[-0.35em] ~\dotfill\\\\ cos(x)+1=0\implies cos(x)=-1\implies x=cos^{-1}(-1)\implies \stackrel{\textit{for the range }[0,2\pi ]}{x=\pi } \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{\textit{all solutions}}{x=\pi +2\pi n~~,~~ n \in \mathbb{Z}}~\hfill

6 0
3 years ago
Change the unit of capacity 12 c = qt
sattari [20]

Answer:

Step-by-step explanation:

Comment

There are 4 cups in a quart.

There are 12 cups in x quarts.

Solution

4/12 = 1 / x                               Cross multiply

4x = 12*1                                  Combine

4x = 12                                     Divide both sides by 4

4x/4 = 12/4

x = 3 quarts

Answer

3 quarts.

3 0
2 years ago
Read 2 more answers
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