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zhuklara [117]
3 years ago
9

Quadrilateral WILD is inscribed in circle O.

Mathematics
2 answers:
spin [16.1K]3 years ago
6 0
Since the quadrilateral is inscribed inside the circle, where the four vertices are on the circle itself, this means that the opposite angles add to 180 degrees.

Angle I and Angle D are opposite angles. They add to 180 degrees

(angle I) + (angle D) = 180
(45 degrees) + (angle D) = 180
(angle D) + 45 = 180
(angle D) + 45 - 45 = 180 - 45 ... subtract 45 from both sides
angle D = 135

The measure of angle D is 135 degrees
Tresset [83]3 years ago
4 0

Answer:

Step-by-step explanation:

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Gnoma [55]

Answer:b

Step-by-step explanation:

8 0
3 years ago
Linear pair angles are: Always congruent Sometimes congruent or Never congruent​
Grace [21]

Answer:

Always

Step-by-step explanation:

3 0
3 years ago
The sum of two integers is 6 and the difference between the numbers is 40. Find the numbers
nevsk [136]


Set up a system of equations.

X+y=6
Y-x =40

Substitution method.

Y=6-x

(6-x)-x =40
6-2x=40
-2x=34
X= -17

Plug it back into the equation.
-17+y=6
Y=33

(-17,33) is one of the possible answers.







8 0
3 years ago
Read 2 more answers
Please answer this, thank you
olga_2 [115]

Answer:

3

Step-by-step explanation:

I have showed the steps in the attached image.

7 0
2 years ago
polygon ABCD is defined by the points A(-4,2), B(-2,4), C(1,3), and D(2,2). match the coordinates of the points you f the transf
Tomtit [17]

<u><em>Answer:</em></u>

D' ..................> (-2,2)

C'' .................> (3,-1)

A''' ................> (4,-2)

B'' .................> (4,2)

<u><em>Step-by-step explanation:</em></u>

<u>Before we begin, we should remember the rotation rules:</u>

<u>1- Rotation 90° clockwise:</u>

Coordinates (x,y) become (y,-x)

<u>2- Rotation 90° counter clockwise:</u>

Coordinates (x,y) become (-y,x)

<u>3- Rotation 180° clockwise:</u>

Coordinates (x,y) become (-x,-y)

<u>4- Rotation 270° counter clockwise:</u>

Coordinates (x,y) become (y,-x) ...........> same as rotation 90° clockwise

<u>Now, let's consider the given problem:</u>

<u>1- Coordinates of D' if polygon ABCD rotates 90° counter clockwise to create A'B'C'D'</u>

Original coordinates of point D are (2,2)

Rotation 90° counter clockwise means that the new coordinates will be (-y,x) which is (-2,2)

<u>2- Coordinates of C'' if polygon ABCD rotates 90° clockwise to create A''B''C''D''</u>

Original coordinates of point C are (1,3)

Rotation 90° clockwise means that the new coordinates will be (y,x) which is (3,-1)

<u>3- Coordinates of A''' if polygon ABCD rotates 180° clockwise to create A'''B'''C'''D'''</u>

Original coordinates of point A are (-4,2)

Rotation 180° clockwise means that the new coordinates will be (-x,-y) which is (4,-2)

<u>4- Coordinates of B'' if polygon ABCD rotates 270° counter clockwise to create A''B''C''D''</u>

Original coordinates of point B are (-2,4)

Rotation 270° counter clockwise means that the new coordinates will be (y,-x) which is (4,2)

Hope this helps :)

5 0
2 years ago
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