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nadya68 [22]
3 years ago
5

Given that the measure of ∠x is 120°, and the measure of ∠y is 60°, find the measure of ∠z.

Mathematics
1 answer:
Alexxx [7]3 years ago
8 0

Answer:

60 degrees

Step-by-step explanation:

angle y is vertically opposite to angle a, (we can call it.)

angle x is supplementary to the other angle inside the triangle, which we can call angle b.

so, angle a is 60 degrees, as vertically opposite angles are equal

angle b is 60 degrees as supplementary angles = 180

based of the sum of angles in a triangle is 180 theorem;

60+60+unknown= 180

so unknown is 60 degrees

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Which orders paid is a solution is the equation y= 4x + 9
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<em>Note: you did not add the answer options, so I am solving this question generally to solve your query, which anyways would clear your concept.</em>

Answer:

Please check the explanation.

Step-by-step explanation:

Given the equation

y= 4x + 9

All we need is to find any random value of 'x' and then solve for 'y'.

For example, putting x=2

y= 4x + 9

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7 0
3 years ago
N^2-n/3=7 complete the square
monitta

Answer:

You need to add 1/36th to both sides of the equation, giving you the expression

n^2 - \frac{1}{3}n + \frac{1}{36} = 7\frac{1}{36}\\

Which can be expressed as:

(n - \frac{1}{6})^2 = 7\frac{1}{36}

Step-by-step explanation:

We need to add a term that is the the square of half the coefficient of the second term.

n^2 - n/3 = 7\\n^2 - \frac{1}{3}n = 7\\n^2 - \frac{1}{3}n + \frac{1}{36} = 7\frac{1}{36}\\(n - \frac{1}{6})^2 = 7\frac{1}{36}

Let's check the answer by expanding:

(n - \frac{1}{6})^2 = 7\frac{1}{36}\\n^2 - \frac{1}{6}n - \frac{1}{6}n + \frac{1}{36} = 7\frac{1}{36}\\n^2 - \frac{1}{3}n + \frac{1}{36} = 7\frac{1}{36}\\n^2 - \frac{1}{3}n = 7

Which verifies the answer.

5 0
3 years ago
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