11/14 minus 7/14 is equal to 4/14.
Since the equation we're looking for is parallel to another line, we can "steal" the second line's slope and use it in our equation.
Point-slope formula:
y - y1 = m(x - x1)
y - 2 = 2(x-(-1))
y - 2 = 2(x+1)
Solve for y to put into slope intercept form:
y - 2 = 2x + 2
y = 2x + 4
The correct answer is: [D]: "<span>supplementary angles, 180° " .
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<u>Note:</u>
</span><span>
Choices:
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[B]: "complementary angles, 180° " ; and:
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[C]: "supplementary angles, 90° " ;
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can automatically be ruled out ; since by definition:
</span>→ Complementary angles always add up to 90° — NOT 180° ;
and: supplementary angles always add up to 180° — NOT 90° .
<span>_____________________________________________________
Note: "Adjacent angles" refer to "supplementary angles" ; which, by definition add up to 180</span>° . Futhermore, looking at the image provided,
we see that ∠1 and ∠2 are, in fact "adjacent" and that ∠1 and ∠2 comprise the entire portion of a "straight line" (being intersected by a transversal)" ;
and as such; ∠1 and ∠2 are supplementary angles—
and as such—add up to 180° .
(which rules out: Choice [A]: "complementary <span>angles, 90°) ;
</span>→ <span>and demonstrates the correct answer:
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Answer choice: [D]: "</span><span>supplementary angles, 180°</span><span> " .
</span> <span>______________________________________________________
</span>
Which democratic ideal is part of the Declaration of Independence?
separation of powers
freedom of speech, religion, and the press
the right to life, liberty, and the pursuit of happiness
universal voting rights
