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Naddika [18.5K]
3 years ago
5

Need help with this math question.

Mathematics
2 answers:
Svet_ta [14]3 years ago
6 0
10a+35b=0; 21a-35b=217 ...associative property of addition
31a = 217 .............addition property of equality
a = 7 .....................division property of equality
2(7) +7b = 0 --------------substitution property of equality
14+7b = 0 -----------------mulplication property of equality
      7b = -14 --------------subtraction property of equality
        b = -2 ----------------simplify
aleksklad [387]3 years ago
6 0
Hey there,

1.) \boxed{associative \ property \ of \ addition}[/tex\\2.)[tex]\boxed{addition \ property \ of 
 equality}
And the rest would be. . . 

division property of equalitysubstitution property of equalitymultiplication property of equalitysubtraction property of equalitysimplify

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Rounded to the nearest tenth, the length of the missing side is 5.4 in.

Step-by-step explanation:

According to the Pythagorean theorem, a^{2}+b^{2}=c^{2}, where c is the length of the hypotenuse (the longest side), a and b are the lengths of the other two sides. We can use this to solve for the length of the hypotenuse of the right triangle shown in your question (the missing side):

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Ivan used coordinate geometry to prove that quadrilateral EFGH is a square.
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Answer:

(A)Segment EF, segment FG, segment GH, and segment EH are congruent

Step-by-step explanation:

<u>Step 1</u>

Quadrilateral EFGH with points E(-2,3), F(1,6), G(4,3), H(1,0)

<u>Step 2</u>

Using the distance formula

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|EH|=\sqrt{(0-3)^2+(1-(-2))^2}=\sqrt{(-3)^2+(3)^2}=\sqrt{18}=3\sqrt{2}

<u>Step 3</u>

Segment EF ,E (−2, 3), F (1, 6)

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Segment GH, G (4, 3), H (1, 0)

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<u>Step 4</u>

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Slope of |EH|= \frac{0-3}{1+2} =\frac{-3}{3}=-1

Segment FG, F (1, 6,) G (4, 3)

Slope of |EH| =\frac{3-6}{4-1} =\frac{-3}{3}=-1

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Segment EF and segment GH are perpendicular to segment FG.

The slope of segment EF and segment GH is 1. The slope of segment FG is −1.

<u>Step 6</u>

<u>Segment EF, segment FG, segment GH, and segment EH are congruent. </u>

The slope of segment FG and segment EH is −1. The slope of segment GH is 1.

<u>Step 7</u>

All sides are congruent, opposite sides are parallel, and adjacent sides are perpendicular. Quadrilateral EFGH is a square

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