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4 years ago

Note: angles not necessarily drawn to scale.

Mathematics

2 answers:

WITCHER [35]4 years ago

6 0

Answer:

X=60°

Step-by-step explanation:

Gala2k [10]4 years ago

3 0

Angle AGD is a right angle which equals 90 degrees.

Angle FGD would be 90-73 = 17 degrees.

Angle X is a vertical angle to FGD, which means they are the same.

Angle X = 17 degrees.

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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

paul was given 2760$ to buy toys for a group of children.A)what would be the greatest number of toys paul could buy if each toy

Radda [10]

Answer:

2760 ÷ 9 = x

x = 306

306(9) = 2754

2760 - 2754 = 6

Have a good day! :)

7 0

3 years ago

What the min preicatorin x

Sladkaya [172]

Answer:

idk refrace your question

Step-by-step explanation:

3 0

3 years ago

Lisa has 2 red dresses, 3 green dresses and x blue dresses hanging in her closet. If lisa chooses one dress at random, the proba

Vladimir79 [104]

Answer:

the dess was actually blue and black

Step-by-step explanation:

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3 years ago

An object is moved at a constant speed of 20m/s for 4s

konstantin123 [22]

Answer:

80 m is distance traveled

Step-by-step explanation:

if object moves at 20m/s, then in 4 seconds the expression 20 x 4 is used to get 80. 80 m traveled

3 0

2 years ago