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Vinvika [58]
3 years ago
5

Find the measure of the missing angle.

Mathematics
1 answer:
Zanzabum3 years ago
7 0
34 degrees
The three angles all add up to a straight line, which is 180 degrees. One angle is 56 and one is marked as a right angle, so 90.
56+90+x=180
x=34
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Answer:

○ 3

○ y + ½ = 3(x - 2)

○ Multiply both sides of the equation by 3. The Standard Form of the equation is 12x - 2y = 24.

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Step-by-step explanation:

Find the <em>rate</em><em> </em><em>of</em><em> </em><em>change</em><em> </em>[<em>slope</em>]:

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__________________________________________________________

According to the Point-Slope Formula, <em>y - y₁ = m(x - x₁)</em>, all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting this coordinate into the formula with their CORRECT SIGNS:

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We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it:

-3[4x - ⅔y = 8] → -12x + 2y = -24

** They should have multiplied by -3 instead of 3 because that negative is hooked up to everything in the fraction, but since the exercise gave you 12x - 2y = 24, go with 12x - 2y = 24.

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If you would take a look at this graph real closely, you will see that this graph intersects the y-axis and x-axis at ENDPOINTS, so to find the x-intercept, you simply plug in <em>zero</em> for <em>y</em>: 5x = 15, and you will know right away that <em>x</em><em> </em>is set to equal 3, which is what you see in the graph, (3, 0). Now, to find the y-intercept, you simply plug in <em>zero</em><em> </em>for <em>x</em>: -3y = 15, and you will know right away that <em>y</em><em> </em>is set to equal -5, which is what you see on the graph as well, (0, -5). With that being said, you have your answer.

__________________________________________________________

y - 3 = ½(x - 1)

y - 3 = ½x - ½

+ 3 + 3

_____________

y = ½x + 2½

* 2½ = 5⁄2

I am joyous to assist you anytime.

4 0
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fredd [130]
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