Find x and y. Give reasons to justify your solution.

Mathematics

2 answers:

Alekssandra [29.7K]3 years ago

5 0

Answer:

x = 32

y = 35

Step-by-step explanation:

x = 32 because they are vertical angles. Vertical Angles means a pairs of opposite angles made by two intersecting lines.

y = 35 because the vertical angle for y is 35 (view attached image below). Also, if we add all the angles together in the image, it comes out to a sum of 360 degrees, which is a full circle.

Annette [7]3 years ago

3 0

Answer:

x=32 degrees

y=35 degrees

Step-by-step explanation:

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Anestetic [448]

First we distribute $\frac{1}{5}$ into $n$ and $-\frac{1}{7}$ .

$\frac{1}{5} * n = \frac{1}{5} n$
$\frac{1}{5} * -\frac{1}{7} = - \frac{1}{35}$

That makes the left side of the equation

$\frac{1}{5} n - \frac{1}{35} = \frac{1}{6} n$

Now we subtract $\frac{1}{5}n$ from $\frac{1}{6} n$ , which makes $\frac{1}{30}$

Now the equation is

$-\frac{1}{35} = -\frac{1}{30n}$

Our goal is to isolate $n$ , so we both sides by 30

$30* -\frac{1}{35} = - \frac{1}{30}n * 30$

That will make the equation

$- \frac{30}{35} = -n$

We multiply -1 on both sides of the equation:

$\frac{30}{35} = n$

Finally we simplify $\frac{30}{35}$ , which makes $\frac{6}{7}$

So the answer is $n = \frac{6}{7}$