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3 years ago

Given ABC = DEF What is the measure of E

Mathematics

2 answers:

bogdanovich [222]3 years ago

4 0

The measure of E is 60 degrees.

Ludmilka [50]3 years ago

3 0

If you stand up triangle DEF to match triangle ABC you can see that E matches up with B. you can also tell by the order of the letters. ABC= DEF meaning A=D B=E and C=F

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What is 167,-197,-200,15,-65,-110 greatest to least

Ray Of Light [21]

167, 15, -65, -110, -197, -200

4 0

3 years ago

Last year the backgammon club had 30 members this year the club has 24 members find the percent of decrease of members

olchik [2.2K]

Answer:

Percent Decrease = 20% Decrease

Step-by-step explanation:

To find percentage decrease, we will use a simple formula shown below:

Percentage Decrease/Increase = $\frac{New-Old}{Old}*100$

Where

New is the latest number of members (which is 24)

Old is the initial number of members (which is 30)

<em>Note: the multiplication by a factor of "100" brings the answer to a percentage</em>.

Now, lets substitute the numbers and figure out the percentage decrease:

$\frac{New-Old}{Old}*100\\\frac{24-30}{30}*100\\\frac{-6}{30}*100\\-0.2*100\\-20$

So, it comes to -20, which is a decrease of 20%

7 0

3 years ago

Convert the following repeating decimal to a fraction in simplest form .31 with the 1 repeating

bekas [8.4K]

Answer:

14/45

Step-by-step explanation:

So we have the fraction:

$0.3\bar1=0.31111...$

We can do this algebraically. Follow to following steps:

Let's let this number equal to n. Thus:

$0.31111...=n$

Since there is only 1 digit repeating, let's multiply everything by 10. So:

$3.1111...=10n$

Now, subtract n from both sides:

$3.1111-n=10n-n$

On the left, substitute the number for n. On the right, combine like terms:

$3.1111...-0.31111...=9n$

All of the 1s will cancel. So:

$3.1-0.3=9n$

Subtract:

$2.8=9n$

Divide both sides by 9:

$n=2.8/9$

Remove the decimal by multiplying both sides by 10:

$n=28/90$

Reduce:

$n=14/45$

And we're done!

Use a calculator to check:

$14/45\stackrel{\checkmark}{=}0.31111...$

7 0

3 years ago

What is the quotient? Negative StartFraction 3 over 8 EndFraction divided by negative one-fourth

anyanavicka [17]

Answer:

$\dfrac{3}{2}$

Step-by-step explanation:

We are given 2 fractions.

1st fraction is Negative StartFraction 3 over 8

i.e.

$-\dfrac{3}{8}$

2nd fraction is negative one-fourth

i.e.

$-\dfrac{1}{4}$

We have to find the quotient when 1st fraction is divided by 2nd fraction.

<u>Definition</u> of quotient is given as:

Quotient is the result obtained when one number is divided by other number.

$-\dfrac{3}{8} \div -\dfrac{1}{4} \text{ is to be calculated.}$

$\div$ is converted to $\times$ and the 2nd fraction is reversed i.e.

if the fraction is $\frac{p}{q}$ it becomes $\frac{q}{p}$ and the sign $\div$ is changed to $\times$ .

Solving above:

$-\dfrac{3}{8} \times -\dfrac{4}{1}\\ \text {Multiplication/Division of 2 negative number gives a positive number}\\\Rightarrow \dfrac{3}{2}$

So, the quotient is $\frac{3}{2}$ .

6 0

3 years ago

Julia wants to find out which color fabric will heat up the fastest when put under a direct light.

Tanya [424]

Answer:

No, she has more than one independent variable.

Step-by-step explanation:

8 0

3 years ago