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Grace [21]
3 years ago
15

What is the value of x?

Mathematics
1 answer:
Aleksandr [31]3 years ago
6 0

Answer:

x = 20

Step-by-step explanation:

these are vertical angles and vertical angles are congruent

3x+50 = 6x-10

3x = 6x - 60

-3x = -60

x = 20

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circle

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9. Use the distance formula to find the distance between the points (-4,-4) and (4,4).​
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16

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Distance formula = (x_{1}-x_{2})+(y_{1}-y_{2})

Depending on which point is A and Which point is B, the answer is one of the two.

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4 0
4 years ago
1/5 of the population cycle to work. If 2/3 of these cyclists ride mountain bikes, what fraction of the population cycle with mo
torisob [31]

Step-by-step explanation:

Let's change the denominator of

\frac{1}{5}

to 15 as it is the lowest common multiple of both denominators, 5 and 3.

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

Now, think of it this way, there are 15 people cycling and

\frac{1}{5}

of them cycle to work.

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

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

Out of these 15 cyclists, 3 of them go to work. As

\frac{2}{3}

of these remainders cycle via mountain bikes, we can find how many people ride mountain bikes to work.

\frac{2}{3}  \times 3 = 2

As there was a total of 15 people at the start and 2 who rode mountain bikes to work, the fraction of the population who rides mountain bikes to work will be

2 \div 15 = \frac{2}{15}

Short answer:

\frac{1}{5}  \times  \frac{2}{3}  =  \frac{2}{15}

5 0
3 years ago
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