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Illusion [34]
2 years ago
5

Given: BD bisects AC and ∠CBE≅∠ADE. Prove: ABCD is a parallelogram.

Mathematics
2 answers:
REY [17]2 years ago
7 0

Using supplementary angle theorem

  • <CDE=<ABE

As BD bisects AC

  • AE=EC
  • BE=ED

So ∆AEC\cong∆DEC(SAS)

Also similarly

  • ∆BEC\cong∆AED

Hence it's a parallelogram

Naddik [55]2 years ago
6 0

Answer:

Using supplementary angle theorem

<CDE=<ABE

As BD bisects AC

AE=EC

BE=ED

So ∆AEC∆DEC(SAS)

Also similarly

∆BEC∆AED

Hence it's a parallelogram

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9
lys-0071 [83]

Answer:

The number of quarters Josie has in her collection of 92 coins 28 quarters

Step-by-step explanation:

The given information are

The total number of coins Josie has = 92

Let the number of quarters she has = x

Therefore, 92 = 8 + 3×x

8 + 3×x = 92

3×x = 92 - 8 = 84

3×x = 84

x = 84/3 = 28

x = 28

The number of quarters Josie has in her collection of 92 coins = 28 quarters.

4 0
3 years ago
Please help I'm begging
Elina [12.6K]
The figure is made up of a cone and a cylinder.

Diameter = 16 ft
radius = 16÷2 = 8ft

Volume of the cone = 1/3bh
Volume of the cone = \frac{1}{3}  \pi  r^{2} h
Volume of the cone =  \frac{1}{3} \pi 8^{2}(6) = 402.12

Volume of the cyclinder = bh
Volume of the cylinder = \ \pi r^{2} h
Volume of the cylinder = \ \pi 8^{2}(4) = 1206.37

Total = 402.12 + 1206.37 = 1608.49 cubic feet

6 0
3 years ago
For the equation y = - 3x + 2 2. determine the value of y when x = 2?
sergejj [24]
Y = -3(2) +22
Y = -6 +22
Y = 16
8 0
3 years ago
Read 2 more answers
Classify the limaçon represented by the equation r=(1/2)-(1/2)sin(theta)
babunello [35]
We know that

Limacons are in the form
r=a(+-)b*sin (theta)  or r=a(+-)b*cos (theta)

in this problem
r=a(+-)b*sin (theta)
so
is symmetric to y axis
a=1/2
b=1/2
a/b=1---------> Cardioid (hearth shaped)

see the attached figure

the answer is the option
<span>A. Cardioid </span>

4 0
3 years ago
Can someone help me with this and show the step to solving it
anyanavicka [17]

Answer:x = 9/16

Step-by-step explanation:

2x + 3 = 6x - 4

/3

First you gotta get rid of the divided by 3

2x / 3 = 2/3x and 3 / 3 = 1

Now you have

2/3x + 1 = 6x - 4

Second you have to get rid of the 2/3x on the left side

2/3x + 1 = 6x - 4

-2/3x          -2/3x

1 = 5 1/3x - 4

Third you have to get rid of the -4

1 = 5 1/3x - 4

-4             -4

-3 = 5 1/3x

Fourth you have to divide by 5 1/3

-3 = 5 1/3x

/ 5 1/3    / 5 1/3

x = 9/16

3 0
3 years ago
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