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3 years ago

The diagonal length of a rectangle is 21 inches, and the length of the rectangle is 8 inches.

Mathematics

2 answers:

Elodia [21]3 years ago

7 0

29 inches.

_________________

CaHeK987 [17]3 years ago

3 0

29 inches should be the answer

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

Gelneren [198K]

Answer:

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

Step-by-step explanation:

Step 1

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

Step 2

Using the distance formula

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

Given E(-2,3), F(1,6)

$|EF|=\sqrt{(6-3)^2+(1-(-2))^2}=\sqrt{3^2+3^2}=\sqrt{18}=3\sqrt{2}$

Given F(1,6), G(4,3)

$|FG|=\sqrt{(3-6)^2+(4-1)^2}=\sqrt{3^2+3^2}=\sqrt{18}=3\sqrt{2}$

Given G(4,3), H(1,0)

$|GH|=\sqrt{(0-3)^2+(1-4)^2}=\sqrt{(-3)^2+(-3)^2}=\sqrt{18}=3\sqrt{2}$

Given E (−2, 3), H (1, 0)

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

Step 3

Segment EF ,E (−2, 3), F (1, 6)

Slope of |EF|= $\frac{6-3}{1+2} =\frac{3}{3}=1$

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

Slope of |GH| $= \frac{0-3}{1-4} =\frac{-3}{-3}=1$

Step 4

Segment EH, E(−2, 3), H (1, 0)

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

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

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

Step 5

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.

Step 6

Segment EF, segment FG, segment GH, and segment EH are congruent.

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

Step 7

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

4 0

3 years ago

Read 2 more answers

If you are driving at a rate of 55 miles per hour, about how many feet per second are you traveling?

Semenov [28]

$55\ \frac{miles}{hour}\\\\
1\ mile\ =\ 5280\ feet\\
1\ hour=\ 3600\ second\\\\
55*\frac{5280}{3600}=80,7\frac{feet}{second}$

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3 years ago

HELP ME PLS I NEED THIS !!!!

ZanzabumX [31]

Answer:

Go google the answer

Step-by-step explanation:

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3 years ago

The Hiking Club plans to go camping in a State park where the probability of rain on

Margarita [4]

Answer:

3/4 or 0.75

Step-by-step explanation:

4 0

2 years ago

The quotient of a number and -7 and decreased by 2 is 10 find the number

qwelly [4]

Answer:

Step-by-step explanation:

$-\frac{n}{7}-2=10\\ \\ -\frac{n}{7}=12\\ \\ n=-84$

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2 years ago