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krek1111 [17]
2 years ago
14

The figure below is not drawn to scale. ABCD is a parallelogram, Find

Mathematics
1 answer:
Butoxors [25]2 years ago
4 0

\angle BAD=100^{\circ} (opposite angles in a parallelogram)

\angle EAD=80^{\circ} (subtraction)

\angle ADE=65^{\circ} (angles in a triangle add to 180 degrees)

\angle CDA=80^{\circ} (adjacent angles in a parallelogram are supplementary)

\boxed{\angle CDE=15^{\circ}} (subtraction)

\angle CED=65^{\circ} (angles in a triangle add to 180 degrees)

\boxed{\angle AEB=80^{\circ}} (angles on a straight line add to 180 degrees)

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pshichka [43]

Answer:

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5 0
4 years ago
Read 2 more answers
In ΔCDE, \overline{CE}
abruzzese [7]

Answer:

m\angle CDE=14^o

Step-by-step explanation:

we know that

An exterior angle of a triangle is equal to the sum of the opposite interior angles.

see the attached figure to better understand the problem

so

∠DEF=∠ECD+∠CDE

substitute the given values

(4x+5)^o=(x+9)^o+(x+8)^o

solve for x

Combine like terms

(4x+5)^o=(2x+17)^o

Group terms

4x-2x=17-5

2x=12

x=6

Find the measure of angle CDE

m\angle CDE=(x+8)^o

substitute the value of x

m\angle CDE=(6+8)=14^o

8 0
3 years ago
You are installing a wood fence. The fence is 120 feet long. East wood slat to be installed vertically, is 3 3/4 inches wide. Wh
ddd [48]
3 3/4 inches = (3 3/4 / 12) feet = 0.3125 feet
120 feet requires  ------- x number of board.

120 feet/0.3125 feet / board = 384 boards.

1 board costs 1.40 
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1.4 * 384.00= x*1 = x
537.60 dollars.

Note if you need to do this by dimensional analysis, it will look like this.

120 feet/fence [ 1 board / 3.75 inches] [ 12 inches/foot] [1.40 dollars / board]

All units that can be cancelled should be.
The result is 537.6 dollars / fence which is the answer you got. 

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MatroZZZ [7]
A rate shows how much larger or smaller one box is to the other box.
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3 years ago
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kiruha [24]

Answer:

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