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2 years ago

Find the value of x that makes line m ll n

Mathematics

1 answer:

guapka [62]2 years ago

5 0

Answer:

See below ↓

Step-by-step explanation:

14.

Between two lines m ║ n, the ∦ cuts through them forming two angles
As it forms a line, the sum of the angles is 180°
3x + 47 + x + 7 = 180
4x + 54 = 180
4x = 126
x = 126/4 = 63/2 = 31.5

15.

Alternate exterior angles on a transversal are equal
5x = 2x + 78
3x = 78
x = 26

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Step-by-step explanation:

The fractions are: $\frac{1}{5}$ and $\frac{2}{3}$ . Let's take a look at the denominators: 5 and 3. The LCD of 5 and 3 is 15. 5x3=15, 3x5=15. So now we would multiply the denominators to make them the same number like this: $\frac{5}{15}$ and $\frac{10}{15}$ . Remember that if you multiply the denominator by a certain number, you must multiply the numerator by the same number as well. For example, in $\frac{2}{3}$ , we multiply 3 by 5 and 2 by 5. Same number. Now with that out of the way, let's work on the equation: $\frac{1}{5}$ + $\frac{2}{3}$ . We know it is the same as $\frac{5}{15}$ and $\frac{10}{15}$ . So now all we do is add the numerators together: 5+10=15 or $\frac{15}{15}$ . Now we have to reduce the fraction. $\frac{15}{15}$ can be reduced to 3 by dividing 15 by 5=3. The final fraction is $\frac{3}{3}$ or can be simply put as 3 since 3/3 is a whole number. That's it - you're done!

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2 years ago

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3 years ago

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zhuklara [117]

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