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3 years ago

Measure of a verticle angle is 7x+182 and another angle is 9x+194 solve for x

1 answer:

4 0

The measures of 2 vertical angles are always equal, so we have:

7x+182=9x+192.

Rearranging, we have 182-192=9x-7x, which simplifies to -12=2x.

Thus, x=-6.

This means that the angles are:

i) 7x+182=7(-6)+182=182-42= 140(degrees).

ii) <span>9x+194=9(-6)+194=194-54=140 (degrees, as expected.)

Answer: x=-6</span>

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Share 3200 ml of water in the ratio 4:1:3

Amiraneli [1.4K]

Answer:

1600 ml, 400 ml, 1200 ml

Step-by-step explanation:

Given ratios are: 4:1:3

Let the shares of the given ratios be 4x, x, 3x

$\therefore \: 4x + x + 3x = 3200 \\ \\ \therefore \: 8x = 3200 \\ \\ \therefore \: x= \frac{ 3200}{8} \\ \\ \therefore \: x=400 \\ \\ \implies \\ 4x = 4 \times 400 = 1600 \\ \\ 3x = 3 \times 400 = 1200 \\ \\$

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3 years ago

Convert: 96°F to °C (to the mearest tenth)

Novosadov [1.4K]

96°F = 35,5556°C ≈ 35,6°C

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4 years ago

Can someone help with my homework?

Len [333]

Answer:

1a) $-\frac{15}{4}$

1b) $\frac{95}{33}$

2a) $-84$

2b) 1

3a) $\frac{171}{550}$

3b) $4\frac{2}{7}$

Step-by-step explanation:

For the first equation, let's use $\frac{-a}{b} =\frac{a}{-b} =-\frac{a}{b}$ to right a new fraction.

Step 1- Reduce the fraction with 4.

$-\frac{\frac{12/4}{4/4} }{\frac{4}{5} } = -\frac{3}{\frac{4}{5} }$

Step 2- Simplify the complex fraction(LCD or Least Common Denominator).

$-\frac{3}{\frac{4}{5} } = -\frac{15}{4}$

An alternative form for this fraction is $-3\frac{3}{4} or -3.75$ .

For the second equation..

Step 1- Convert the mixed number to an improper fraction.

$\frac{6\frac{3}{9} }{\frac{11}{5} } = \frac{\frac{57}{9} }{\frac{11}{5} }$

Step 2- Simplify the complex fraction.

$\frac{\frac{57}{9} }{\frac{11}{5} } = \frac{95}{33}$

An alternative form for this fraction is $2\frac{29}{33} or 2.87$ .

For the third equation use $\frac{-a}{b} =\frac{a}{-b} =-\frac{a}{b}$ ...

Step 1- Simplify the complex fraction(LCD).

$-\frac{7}{\frac{1}{12} } = -84$

For the fourth equation...

Write the fraction as a division.

$\frac{12}{8}$ ÷ $\frac{3}{2}$

To divide a fraction, multiply by the reciprocal of that fraction.

$\frac{12}{8} *\frac{2}{3} = \frac{12*2}{8*3}$

Reduce the fraction with 3.

$\frac{4*2}{8}= \frac{4}{4} = 1$

For the fifth equation...

Convert the mixed number to an improper fraction.

$\frac{-1\frac{8}{11} }{-5\frac{5}{9} } = \frac{-\frac{19}{11} }{-\frac{50}{9} }$

Reduce the fraction with -1, this eliminates the negative sign.

Simplify the complex fraction.

$\frac{\frac{19}{11} }{\frac{50}{9} } = \frac{171}{550}$

An alternative form for this fraction is 0.3109.

For the sixth equation..

Write the fraction as a division.

$\frac{3}{7}$ ÷ $\frac{1}{10}$

To divide by a fraction, multiply by the reciprocal of that fraction.

$\frac{3}{7}$ ×10= $\frac{3*10}{7}$

Multiply the numbers.

$\frac{3*10}{7} = \frac{30}{7}$

Alternative form of this fraction is $4\frac{2}{7}$ or 4.285714.

Hope this helps! :)

8 0

3 years ago

What is the answer to -7/24 - (-5/8)? Show work please...

Nitella [24]

Answer <span>-7/24 - (-5/8) = 1/3</span>

8 0

3 years ago

Read 2 more answers

Which of the following expressions with absolute values is neither positive nor negative? ||1|| |−1| |−1 - 1| |−3 + 3|

Dovator [93]

-3+3 because it is equal to zero, and zero is not positive nor negative. All absolute values are positive unless the number is zero.

5 0

3 years ago