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Tatiana [17]
4 years ago
9

Mackenzie wrote the following paragraph proof for the Vertical Angles Theorem:The sum of angle 1 and angle 4 and the sum of angl

e 3 and angle 4 are each equal to 180 degrees by the definition of supplementary angles. The sum of angle 1 and angle 4 is equal to the sum of angle 3 and angle 4 _________________. Angle 1 is equal to angle 3 by the subtraction property of equality. Which phrase completes the proof?
Mathematics
2 answers:
hodyreva [135]4 years ago
6 0

by the transitive property of equality.

Vesnalui [34]4 years ago
3 0

The answer would be Angle 1 is equal to angle 3 by the subtraction property of equality.

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Makovka662 [10]

Answer:

5 \sqrt{5}

Step-by-step explanation:

We want to find the distance between (-8,-4) and (2,-9).

We use the distance formula:

d =  \sqrt{ {(x_2-x_1)^2} +(y_2-y_1)^2 }

We substitute the coordinates to get:

d =  \sqrt{ {(2- - 8)^2} +( - 9 -  -  4)^2 }

We simplify to obtain:

d =  \sqrt{ {(2 + 8)^2}+( - 9  + 4)^2 }

Add the numbers within the parenthesis to get:

d =  \sqrt{ {(10)^2}+( -5)^2 }

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d =  \sqrt{ {100}+25}

d =  \sqrt{125}  = 5 \sqrt{5}

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Step-by-step explanation:

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