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3 years ago

∠A and ∠B are vertical angles with m∠A=x and m∠B=3x−60 . What is m∠A ?

1 answer:

3 0

As they are vertical angles, their magnitude would be equal.
x = 3x - 60
3x - x = 60
2x = 60
x= 30

In short, Your Answer would be 30

Hope this helps!

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It’s my first time here I need help on this question

OverLord2011 [107]

Answer:

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Step-by-step explanation:

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2 years ago

Six times Jason's collection of books and one-third of Nathan's collection add up to 134 books. One-third of Jason's collection

siniylev [52]

6j+ $\frac{1}{3}$ n=134

$\frac{1}{3} j+n=31$ you multiply this by 18

6j+18n=558
6j+1/3*n=134
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53n/3=424 => 53n=1272 => n=24

You put n in the first equation:
6j+8=134
6j=126 => j=21

Final answer: Nathan has 24 books and Jason 21.

3 0

3 years ago

Which expressions are equivalent to 2 (three-fourths x + 7) minus 3 (one-half x minus 5)? Check all that apply.

Mariulka [41]

Answer:

$2(\frac{3}{4}x+7)+(-3)(\frac{1}{2}x+(-5))$

$2(\frac{3}{4}x)+2(7)+(-3)(\frac{1}{2}x)+(-3)(-5)$

Step-by-step explanation:

The original expression given in the text is

$2(\frac{3}{4}x+7)-3(\frac{1}{2}x-5)$ (1)

And we want to check to what other expressions is equivalent. First of all, we solve it by writing explicitely each term:

$\frac{3}{2}x+14-\frac{3}{2}x+15$ (2)

Let's verify each of the other expressions separately. For the first one:

$2(\frac{3}{4}x+7)+(-3)(\frac{1}{2}x+(-5))$

We see that this is equivalent to expression (1), since the first half is identical, while in the second one, the combination "+-" can be simply written as "-", so we get

$2(\frac{3}{4}x+7)-3(\frac{1}{2}x-5)$

Which is equivalent to (1).

For the 2nd one:

$2(\frac{3}{4}x)+2(7)+3(\frac{1}{2}x)+3(-5)$

This is not equivalent. In fact, here we have applied the distributive property to each term: however, the 3rd and 4th term are not correct, because the (3) must be negative (-3), as in the original expression.

If we write it explicitely in fact, we get

$\frac{3}{2}x+14+\frac{3}{2}x-15$

Which is different from (2).

For the 3rd one:

$2(\frac{3}{4}x)+2(7)+(-3)(\frac{1}{2}x)+(-3)(-5)$

This one is equivalent. In fact, here we have applied the distributive property correctly. By solvign each term we get:

$\frac{3}{2}x+14-\frac{3}{2}x+15$

8 0

3 years ago

Read 2 more answers

During an experiment, some water was removed from each of the 6 water tanks. If the standard deviation of the volumes of water i

Julli [10]

Answer:

First statement is correct.

Step-by-step explanation:

If we add or subtract a constant to each term in a set: Mean will increase or decrease by the same constant. Standard Deviation will not change.

If we increase or decrease each term in a set by the same percent (multiply all terms by the constant): Mean will increase or decrease by the same percent. Standard Deviation will increase or decrease by the same percent.

For example:

Standard Deviation of a set: {1,1,4} will be the same as that of {5,5,8} as second set is obtained by adding 4 to each term of the first set.

That's because Standard Deviation shows how much variation there is from the mean. And when adding or subtracting a constant to each term we are shifting the mean of the set by this constant (mean will increase or decrease by the same constant) but the variation from the mean remains the same as all terms are also shifted by the same constant.

So according to this rule, statement (1) is sufficient to get new Standard Deviation, it'll be 30% less than the old.. As for statement (2) it's clearly insufficient as knowing mean gives us no help in getting new Standard Deviation.

6 0

3 years ago

The length of a rectangle is four times the width minus three. If the perimeter of the rectangle is 64 meters, what is the lengt

Nastasia [14]

Answer:

L = 25 m

Step-by-step explanation:

L = 4W - 3

perimeter = 2(L + W)

64 = 2(4W - 3 + W)

divide both sides by 2:

32 = 5W - 3

add 3 to each side:

5W = 35

divide both sides by 5:

W =7

L = 4(7) - 3 = 25

6 0

2 years ago

∠A and ​ ∠B ​ are vertical angles with m∠A=x and m∠B=3x−60 . What is m∠A ?

∠A and ∠B are vertical angles with m∠A=x and m∠B=3x−60 . What is m∠A ?