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2 years ago

Which angle pairs are supplementary? Check all that apply.

Mathematics

2 answers:

Zina [86]2 years ago

7 0

Answer:

Supplementary Angles are two angles the sum of whose measures is 180º. Supplementary angles can be placed so they form a linear pair (straight line), or they may be two separate angles.

ANTONII [103]2 years ago

5 0

Answer:

b) ∠4 and ∠3

c) ∠4 and ∠5

e) ∠3 and ∠6

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2 years ago

Show that x + y : x - y= 3 : 2

insens350 [35]

Answer:

x + y : x - y = (5/2+1/2) : (5/2-1/2)

x + y : x - y = 3 : 2

Therefore, x + y : x - y= 3 : 2 is proved.

Step-by-step explanation:

Given

x + y : x - y = 3 : 2

$x + y = 3$

$x - y = 2$

Solving to find x and y

$\begin{bmatrix}x+y=3\\ x-y=2\end{bmatrix}$

$x-y=2$

$-$

$\underline{x+y=3}$

$-2y=-1$

$\begin{bmatrix}x+y=3\\ -2y=-1\end{bmatrix}$

solve for y

$-2y=-1$

Divide both sides by 2

$\frac{-2y}{-2}=\frac{-1}{-2}$

$y=\frac{1}{2}$

$\mathrm{For\:}x+y=3\mathrm{\:plug\:in\:}y=\frac{1}{2}$

$x+\frac{1}{2}=3$

$x+\frac{1}{2}-\frac{1}{2}=3-\frac{1}{2}$

$x=\frac{5}{2}$

$x=\frac{5}{2},\:y=\frac{1}{2}$

Thus,

x + y : x - y = (5/2+1/2) : (5/2-1/2)

x + y : x - y = 3 : 2

Therefore, x + y : x - y= 3 : 2 is proved.

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2 years ago

Thes one more step btw this is all one question

Nikolay [14]

Answer:

x>-4

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flip sign when dealing with negative

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2 years ago