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Home > Documents > Given the following diagram, find the value of angle DEB A B C D E 8x – 6 11x – 30.

Given the following diagram, find the value of angle DEB A B C D E 8x – 6 11x – 30.

Date post: 27-Dec-2015
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In the figure below, Find the value of x

1l 2l

1l

2l2x – 24

x + 8

32

8242

x

xx

Given the following parallelogram, find the value of x

5x – 5 11x – 7

12

19216

1801216

18071155

x

x

x

xx

Given parallelogram ABCD, diagonal AC and BD intersect

at E. Find the value of diagonal AC when given the

following:

A D

B C

E8x+16

10x + 4

6

122

410168

x

x

xx

128)64(2

)16)6(8(2)168(2

xAC

In rectangle MATH,

MT = 8x + 12 and

AH = 12x – 8.

Find the length of AH

5

204

812128

x

x

xx

528)5(12812 xAH

If the sum of the degree measure of the interior angle of a polygon is

2,880, how many sides does the polygon have?

18

1803240

3601802880

)2(1802880

n

n

n

n

How many sides does a regular polygon

have if the measure of an exterior angle is

15?

24

360151

15360

n

nn

If the sum of the measures of the

interior angles of a regular polygon is 1,080, what is the

measure of one exterior angle?

458

360360

8

26

)2(1801080

n

n

n

n

Given the following diagram, find .

CBDm

DA B

C

5x + 10

12x + 121x – 17

5 10 12 1 21 17

17 11 21 17

4 28

7

x x x

x x

x

x

21 17

21(7) 17

130

m CBD x

Which statement about quadrilaterals is always true?

(1) All quadrilaterals have four right angles

(2) All quadrilaterals have equal sides(3) All quadrilaterals have four sides(4) All quadrilaterals are

parallelograms

)3(

Which quadrilateral must have diagonals that are

congruent and perpendicular?

(1) Rhombus(2) Trapezoid(3) Square(4) Parallelogram

)3(

Melissa is walking around the outside of a building that is in the shape of a

regular polygon. She determines that the

measure of one exterior angle of the building is 60°.

How many sides does the building have?

6

36060

360

1

60

36060

n

nn

n


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